Question

You are given the following 3 x 3, (X'X) Inverse matrix 1.20 -0.40 -0.08 -0.40 0.50 0.15 -0.08 0.15 0.16 And told that the SEE of the regression is 0.75 and the slope of the first explanatory variable is 2.0 and the slope of the second explanatory variable is 1.5. What is the standard error of the slope of the second explanatory variable? Type in your answer as a decimal, rounded it off to 4 decimal places. The answer is not .5303

Name: you are given the following 3 x 3 xx inverse matrix 120 040 008 040 050 015 008 015 016 and told that the see of the regression is 075 and the slope of the first explanatory variable is 20 a 99455
Uploaded: 2024-10-31T15:25:52-08:00
Duration: 1 min 17 s
Channel: Ivan Kochetkov
Description: you are given the following 3 x 3 xx inverse matrix 120 040 008 040 050 015 008 015 016 and told that the see of the regression is 075 and the slope of the first explanatory variable is 20 a 99455

          You are given the following 3 x 3, (X'X) Inverse matrix
                   1.20    -0.40   -0.08
                    -0.40    0.50   0.15
                    -0.08    0.15   0.16
And told that the SEE of the regression is 0.75 and the slope of the first explanatory variable is 2.0 and the slope of the second explanatory variable is 1.5.
What is the standard error of the slope of the second explanatory variable?
Type in your answer as a decimal, rounded it off to 4 decimal places.
The answer is not .5303

Added by Alicia P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

10/31/2024

Step 1

The standard error of the slope \( b_j \) for the \( j \)-th explanatory variable can be calculated using the following formula: \[ SE(b_j) = SEE \times \sqrt{(X'X)^{-1}_{jj}} \] Where: - \( SEE \) is the standard error of the estimate (given as 0.75). - \( Show more…

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You are given the following 3 x 3, (X'X) Inverse matrix 1.20 -0.40 -0.08 -0.40 0.50 0.15 -0.08 0.15 0.16 And told that the SEE of the regression is 0.75 and the slope of the first explanatory variable is 2.0 and the slope of the second explanatory variable is 1.5. What is the standard error of the slope of the second explanatory variable? Type in your answer as a decimal, rounded it off to 4 decimal places. The answer is not .5303