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In: Statistics and Probability

Following is a simple linear regression model: yi = a+ bxi +ei The following results were...

Following is a simple linear regression model:

yi = a+ bxi +ei

The following results were obtained from some statistical software.

R2 = 0.523

syx(regression standard error) = 3.028

n (total observations) = 41

Significance level = 0.05 = 5%

Variable

Parameter Estimate

Std. Err. of Parameter Est.

Interecpt

0.519

0.132

Slope of X

-0.707

0.239

Note: For all the calculated numbers, keep three decimals.

6.

A 95% confidence interval for the slope b in the simple linear regression model is (10 points):

7.

A 95% confidence interval for the intercept a in the simple linear regression model is (10 points):

8.              The correlation coefficient r between the x and y is (10 points):

  1.            What is its meaning of R2 (10 points)?

10.            What is the meaning of the intercept in this simple linear regression model (5

                 points)?

11.             SST = ? (10 points)

12.            Are the intercept and slope significant at 5% significance level (Please use

                  the hypothesis test instead of looking at the confidence intervals) (10 points)?

Solutions

Expert Solution


orchestra answered 1 year ago
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