Consider the following set of dependent and independent variables. Use these data to complete parts a and b below.  y 48 46 42 42 35 32 30 25 16 x1 78 66 80 52 42 46 30 15 13 x2 22 26 21 20 14 16 9 13 11 a) Construct a 95% confidence interval for the regression coefficient for x1 and interpret its meaning.  -The 95% confidence interval for the true population coefficient B1 is ____ to ____.  b) Construct a 99% confidence interval for the regression coefficient for x2 and interpret its meaning.  -The 99% confidence interval for the true population coefficient B2 is approximately from ___ to ___.

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Consider the following set of dependent and independent variables. Use these data to complete parts a and b below. 

y 48 46 42 42 35 32 30 25 16
x1 78 66 80 52 42 46 30 15 13
x2 22 26 21 20 14 16 9 13 11

a) Construct a 95% confidence interval for the regression coefficient for x1 and interpret its meaning. 

-The 95% confidence interval for the true population coefficient B1 is ____ to ____. 

b) Construct a 99% confidence interval for the regression coefficient for x2 and interpret its meaning. 

-The 99% confidence interval for the true population coefficient B2 is approximately from ___ to ___. 

 

I have many of these questions, i need help knowing what steps to take! Thanks! 

15.3.26-T

Consider the following set of dependent and independent variables. Use these data to complete parts a and b below.

|     | y  | x₁ | x₂ |
|-----|----|----|----|
| 1   | 48 | 78 | 22 |
| 2   | 46 | 66 | 22 |
| 3   | 42 | 80 | 21 |
| 4   | 42 | 52 | 20 |
| 5   | 35 | 42 | 14 |
| 6   | 32 | 46 | 16 |
| 7   | 30 | 30 | 9  |
| 8   | 25 | 15 | 13 |
| 9   | 16 | 13 | 11 |

a. Construct a 95% confidence interval for the regression coefficient for \(x_1\) and interpret its meaning.

The 95% confidence interval for the true population coefficient \(\beta_1\) is [___] to [___].
(Round to three decimal places as needed.)

Enter your answer in the edit fields and then click Check Answer.
Transcribed Image Text:15.3.26-T Consider the following set of dependent and independent variables. Use these data to complete parts a and b below. | | y | x₁ | x₂ | |-----|----|----|----| | 1 | 48 | 78 | 22 | | 2 | 46 | 66 | 22 | | 3 | 42 | 80 | 21 | | 4 | 42 | 52 | 20 | | 5 | 35 | 42 | 14 | | 6 | 32 | 46 | 16 | | 7 | 30 | 30 | 9 | | 8 | 25 | 15 | 13 | | 9 | 16 | 13 | 11 | a. Construct a 95% confidence interval for the regression coefficient for \(x_1\) and interpret its meaning. The 95% confidence interval for the true population coefficient \(\beta_1\) is [___] to [___]. (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer.
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