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

Step 1 of 5: sum of squared errors (SSE) =83.616

Step 2 of 5: estimated variance of errors 27.872

Step 3 of 5: estimated variance of slope =1.620

Step 4 of 5: 95% confidence interval for the slope =0.519 ; 8.620

Step 5 of 5:

Construct the 99% confidence interval for the slope=-2.866 ; 12.005