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                                00:00
                                1.
                                
Multiple Regression-1
                             - 
                                
                                03:17
                                2.
                                
The Model
                             - 
                                
                                03:22
                                3.
                                
Linear Regression Model (1)
                             - 
                                
                                09:51
                                4.
                                
Linear Regression Model (2)
                             - 
                                
                                09:52
                                5.
                                
Linear Regression Model (1)
                             - 
                                
                                13:25
                                6.
                                
Linear Regression Model (2)
                             - 
                                
                                19:27
                                7.
                                
Linear Regression Model (3)
                             - 
                                
                                24:22
                                8.
                                
Estimation
                             - 
                                
                                24:25
                                9.
                                
Find the Least Squares Estimator
                             - 
                                
                                33:46
                                10.
                                
Estimation
                             - 
                                
                                33:47
                                11.
                                
Linear Regression Model (3)
                             - 
                                
                                34:10
                                12.
                                
Linear Regression Model (2)
                             - 
                                
                                34:27
                                13.
                                
Linear Regression Model (3)
                             - 
                                
                                34:59
                                14.
                                
Estimation
                             - 
                                
                                34:59
                                15.
                                
Find the Least Squares Estimator
                             - 
                                
                                42:20
                                16.
                                
Digression to Derivative of Matrix:
                             - 
                                
                                48:10
                                17.
                                
Find the Least Squares Estimator
                             - 
                                
                                1:03:21
                                18.
                                
Second Order Condition
                             - 
                                
                                1:05:57
                                19.
                                
Positive Definite Matrix
                             - 
                                
                                1:09:49
                                20.
                                
Second Order Condition
                             - 
                                
                                1:16:42
                                21.
                                
Digression to Derivative of Matrix:
                             - 
                                
                                1:16:44
                                22.
                                
Find the Least Squares Estimator
                             - 
                                
                                1:17:35
                                23.
                                
Digression to Derivative of Matrix:
                             - 
                                
                                1:17:37
                                24.
                                
Second Order Condition
                             - 
                                
                                1:30:45
                                25.
                                
Positive Definite Matrix
                             - 
                                
                                1:30:46
                                26.
                                
Simple Regression Example
                             - 
                                
                                1:30:46
                                27.
                                
Positive Definite Matrix
                             - 
                                
                                1:35:38
                                28.
                                
Second Order Condition
                             - 
                                
                                1:36:03
                                29.
                                
Positive Definite Matrix
                             - 
                                
                                1:37:38
                                30.
                                
Simple Regression Example
                             - 
                                
                                1:37:39
                                31.
                                
Estimating Simple Regression
                             - 
                                
                                1:37:40
                                32.
                                
Simple Regression
                             - 
                                
                                1:37:40
                                33.
                                
Goodness of Fit
                             - 
                                
                                1:37:44
                                34.
                                
LS Estimators and Properties
                             - 
                                
                                1:37:45
                                35.
                                
Goodness of Fit
                             - 
                                
                                1:38:03
                                36.
                                
LS Estimators and Properties
                             - 
                                
                                1:40:12
                                37.
                                
Four Assumptions
                             - 
                                
                                1:40:20
                                38.
                                
Four Assumptions
                             - 
                                
                                1:40:24
                                39.
                                
Four Assumptions
                             - 
                                
                                1:48:47
                                40.
                                
Four Assumptions
                             - 
                                
                                1:51:58
                                41.
                                
Four Assumptions
                             - 
                                
                                1:51:58
                                42.
                                
LS Estimators and Properties
                             - 
                                
                                1:51:59
                                43.
                                
Goodness of Fit
                             - 
                                
                                1:52:00
                                44.
                                
Simple Regression
                             - 
                                
                                1:52:00
                                45.
                                
Estimating Simple Regression
                             - 
                                
                                1:52:01
                                46.
                                
Simple Regression Example
                             - 
                                
                                1:52:01
                                47.
                                
Positive Definite Matrix
                             - 
                                
                                1:55:55
                                48.
                                
Simple Regression Example
                             - 
                                
                                1:55:55
                                49.
                                
Estimating Simple Regression
                             - 
                                
                                1:55:56
                                50.
                                
Simple Regression
                             - 
                                
                                1:55:57
                                51.
                                
Goodness of Fit
                             - 
                                
                                1:55:58
                                52.
                                
LS Estimators and Properties
                             - 
                                
                                1:55:59
                                53.
                                
Four Assumptions
                             - 
                                
                                1:56:01
                                54.
                                
Four Assumptions
                             - 
                                
                                1:56:02
                                55.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                1:56:04
                                56.
                                
Assumption A3
                             - 
                                
                                1:56:04
                                57.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                1:56:05
                                58.
                                
Four Assumptions
                             - 
                                
                                1:56:05
                                59.
                                
Four Assumptions
                             - 
                                
                                1:56:06
                                60.
                                
LS Estimators and Properties
                             - 
                                
                                1:56:43
                                61.
                                
Four Assumptions
                             - 
                                
                                1:56:44
                                62.
                                
Four Assumptions
                             - 
                                
                                2:04:05
                                63.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:11:55
                                64.
                                
Assumption A3
                             - 
                                
                                2:17:05
                                65.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:17:06
                                66.
                                
Four Assumptions
                             - 
                                
                                2:18:22
                                67.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:18:23
                                68.
                                
Assumption A3
                             - 
                                
                                2:18:24
                                69.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:19:07
                                70.
                                
Assumption A3
                             - 
                                
                                2:19:08
                                71.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:19:08
                                72.
                                
Four Assumptions
                             - 
                                
                                2:19:10
                                73.
                                
Four Assumptions
                             - 
                                
                                2:19:21
                                74.
                                
Four Assumptions
                             - 
                                
                                2:19:22
                                75.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:19:23
                                76.
                                
Assumption A3
                             - 
                                
                                2:19:24
                                77.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:28:55
                                78.
                                
Assumption A3
                             - 
                                
                                2:28:56
                                79.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:28:56
                                80.
                                
Four Assumptions
                             - 
                                
                                2:28:58
                                81.
                                
Four Assumptions
                             - 
                                
                                2:29:04
                                82.
                                
Four Assumptions
                             - 
                                
                                2:29:16
                                83.
                                
Four Assumptions
                             - 
                                
                                2:30:17
                                84.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:30:18
                                85.
                                
Assumption A3
                             - 
                                
                                2:30:18
                                86.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:30:20
                                87.
                                
Assumption A3
                             - 
                                
                                2:30:20
                                88.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:30:24
                                89.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                2:34:03
                                90.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:34:26
                                91.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                2:42:27
                                92.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:42:41
                                93.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                2:45:01
                                94.
                                
What Have We Got So Far?
                             - 
                                
                                2:47:39
                                95.
                                
Gauss Markov Theorem (I)
                             - 
                                
                                2:47:41
                                96.
                                
What Have We Got So Far?
                             - 
                                
                                2:51:02
                                97.
                                
Gauss Markov Theorem (I)
                             - 
                                
                                2:55:42
                                98.
                                
Gauss Markov Theorem (II)
                             - 
                                
                                2:55:45
                                99.
                                
Gauss Markov Theorem (III)
                             - 
                                
                                2:55:51
                                100.
                                
What do we need to do for statistical inference?
                             - 
                                
                                2:59:49
                                101.
                                
Gauss Markov Theorem (III)
                             - 
                                
                                2:59:49
                                102.
                                
Gauss Markov Theorem (II)
                             - 
                                
                                2:59:50
                                103.
                                
Gauss Markov Theorem (I)
                             - 
                                
                                2:59:50
                                104.
                                
What Have We Got So Far?
                             - 
                                
                                2:59:51
                                105.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                2:59:52
                                106.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                2:59:52
                                107.
                                
Assumption A3
                             - 
                                
                                2:59:52
                                108.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                2:59:53
                                109.
                                
Four Assumptions
                             - 
                                
                                2:59:53
                                110.
                                
Four Assumptions
                             - 
                                
                                2:59:53
                                111.
                                
LS Estimators and Properties
                             - 
                                
                                2:59:54
                                112.
                                
Four Assumptions
                             - 
                                
                                3:00:51
                                113.
                                
Four Assumptions
                             - 
                                
                                3:00:52
                                114.
                                
Four Assumptions
                             - 
                                
                                3:00:58
                                115.
                                
Four Assumptions
                             - 
                                
                                3:00:59
                                116.
                                
A Digression to Variance Covariance Matrix of a Vector
                             - 
                                
                                3:00:59
                                117.
                                
Assumption A3
                             - 
                                
                                3:01:00
                                118.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                3:01:03
                                119.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                3:01:05
                                120.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                3:01:05
                                121.
                                
Assumption A3
                             - 
                                
                                3:01:06
                                122.
                                
Properties of LS Estimator: Unbiased
                             - 
                                
                                3:02:01
                                123.
                                
VAR-COV Of  𝛽 :VAR( 𝛽 )
                             - 
                                
                                3:02:02
                                124.
                                
What Have We Got So Far?
                             - 
                                
                                3:02:03
                                125.
                                
Gauss Markov Theorem (I)
                             - 
                                
                                3:02:05
                                126.
                                
Gauss Markov Theorem (II)
                             - 
                                
                                3:02:06
                                127.
                                
Gauss Markov Theorem (III)
                             - 
                                
                                3:02:07
                                128.
                                
What do we need to do for statistical inference?
                             - 
                                
                                3:02:14
                                129.
                                
Properties of the OLS Estimator
                             - 
                                
                                3:07:49
                                130.
                                
Statistical Inference
                             - 
                                
                                3:08:20
                                131.
                                
The Presidential Election Example
                             - 
                                
                                3:08:23
                                132.
                                
Hypothesis Testing
                             - 
                                
                                3:08:24
                                133.
                                
Statistical Inference
                             - 
                                
                                3:08:26
                                134.
                                
Properties of the OLS Estimator
                             - 
                                
                                3:08:27
                                135.
                                
Statistical Inference
                             - 
                                
                                3:08:28
                                136.
                                
Hypothesis Testing
                             - 
                                
                                3:08:28
                                137.
                                
The Presidential Election Example
                             - 
                                
                                3:10:48
                                138.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:14:10
                                139.
                                
The US Presidential Election Again
                             - 
                                
                                3:14:11
                                140.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:14:37
                                141.
                                
The US Presidential Election Again
                             - 
                                
                                3:14:57
                                142.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:15:06
                                143.
                                
The US Presidential Election Again
                             - 
                                
                                3:15:07
                                144.
                                
The Presidential Election
                             - 
                                
                                3:15:11
                                145.
                                
The US Presidential Election Again
                             - 
                                
                                3:15:11
                                146.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:15:34
                                147.
                                
The US Presidential Election Again
                             - 
                                
                                3:17:09
                                148.
                                
The Presidential Election
                             - 
                                
                                3:18:56
                                149.
                                
The US Presidential Election Again
                             - 
                                
                                3:19:32
                                150.
                                
The Presidential Election
                             - 
                                
                                3:21:25
                                151.
                                
The US Presidential Election Again
                             - 
                                
                                3:21:25
                                152.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:21:26
                                153.
                                
The Presidential Election Example
                             - 
                                
                                3:21:27
                                154.
                                
Hypothesis Testing
                             - 
                                
                                3:21:28
                                155.
                                
Statistical Inference
                             - 
                                
                                3:21:29
                                156.
                                
Properties of the OLS Estimator
                             - 
                                
                                3:21:52
                                157.
                                
Statistical Inference
                             - 
                                
                                3:21:52
                                158.
                                
Hypothesis Testing
                             - 
                                
                                3:21:53
                                159.
                                
The Presidential Election Example
                             - 
                                
                                3:21:53
                                160.
                                
The Outcome of the US Presidential Election 1892-2012
                             - 
                                
                                3:21:54
                                161.
                                
The US Presidential Election Again
                             - 
                                
                                3:21:55
                                162.
                                
The Presidential Election
                             - 
                                
                                3:25:37
                                163.
                                
Presidential Election Estimation
                             - 
                                
                                3:26:52
                                164.
                                
The Presidential Election
                             - 
                                
                                3:27:06
                                165.
                                
Presidential Election Estimation
                             - 
                                
                                3:27:19
                                166.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:27:21
                                167.
                                
Presidential Election Estimation
                             - 
                                
                                3:27:21
                                168.
                                
The Presidential Election
                             - 
                                
                                3:27:34
                                169.
                                
Presidential Election Estimation
                             - 
                                
                                3:28:22
                                170.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:29:29
                                171.
                                
Presidential Election Estimation
                             - 
                                
                                3:29:30
                                172.
                                
The Presidential Election
                             - 
                                
                                3:29:43
                                173.
                                
Presidential Election Estimation
                             - 
                                
                                3:30:04
                                174.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:31:42
                                175.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:31:43
                                176.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:31:44
                                177.
                                
Presidential Election Estimation
                             - 
                                
                                3:34:03
                                178.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:34:05
                                179.
                                
Presidential Election Estimation
                             - 
                                
                                3:34:05
                                180.
                                
The Presidential Election
                             - 
                                
                                3:34:07
                                181.
                                
The US Presidential Election Again
                             - 
                                
                                3:34:09
                                182.
                                
The Presidential Election
                             - 
                                
                                3:34:10
                                183.
                                
Presidential Election Estimation
                             - 
                                
                                3:34:15
                                184.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:34:36
                                185.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:34:38
                                186.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:34:39
                                187.
                                
Presidential Election Estimation
                             - 
                                
                                3:34:50
                                188.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:35:09
                                189.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:37:19
                                190.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:37:19
                                191.
                                
Presidential Election Estimation
                             - 
                                
                                3:37:20
                                192.
                                
The Presidential Election
                             - 
                                
                                3:37:46
                                193.
                                
Presidential Election Estimation
                             - 
                                
                                3:37:46
                                194.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:37:47
                                195.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:37:50
                                196.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:37:51
                                197.
                                
Presidential Election Estimation
                             - 
                                
                                3:37:51
                                198.
                                
The Presidential Election
                             - 
                                
                                3:38:28
                                199.
                                
Presidential Election Estimation
                             - 
                                
                                3:38:29
                                200.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:38:30
                                201.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:38:47
                                202.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:38:50
                                203.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:39:05
                                204.
                                
Statistical Inference for Linear Restrictions
                             - 
                                
                                3:39:06
                                205.
                                
Alternative Test for H0: b2 =b3 (b2-b3 =0)
                             - 
                                
                                3:39:12
                                206.
                                
Hypothesis Testing: Ex. 3a)
                             - 
                                
                                3:39:13
                                207.
                                
Presidential Election Estimation