Question

The following data give the number of hours 5 students spent studying and their corresponding grades on their midterm exams.

Hours Studying	1	1	2	3	6
Midterm Grades	65	73	74	86	91

Step 1 of 5:

Calculate the sum of squared errors (SSE). Use the values b0=65.9185 and b1=4.5698 for the calculations. Round your answer to three decimal places.

Step 2 of 5:

Calculate the estimated variance of errors, s^2e. Round your answer to three decimal places.

Step 3 of 5:

Calculate the estimated variance of slope, s^2 b1 Round your answer to three decimal places.

Step 4 of 5:

Construct the 95% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5:

Construct the 99% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

1) sum of squared errors (SSE) =4.065

2) estimated variance of errors =1.355

3) estimated variance of slope =0.003

4) 95% confidence interval for the slope =-0.097 ; 0.255

5) 99% confidence interval for the slope =-0.245 ; 0.402