Question

The following data give the number of hours 55 students spent studying and their corresponding grades on their midterm exams.

Hours Studying	3	3	4	5	5
Midterm Grades	72	74	74	75	79

Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=66.8000 and b1=2.0000 for the calculations. Round your answer to three decimal places.

Step 2 of 5: Calculate the estimated variance of errors, se2. Round your answer to three decimal places.

Step 3 of 5: Calculate the estimated variance of slope, s^2b1. Round your answer to three decimal places.

Step 4 of 5: Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5: Construct the 98% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

The statistical software output for this problem is :

Step 1 : SSE = 16

Step 2 : S²e = 3.6

Step 3 : S²b = 0.9

Step 4 : The 80% confidence interval for the slope is :

(0.446 , 3.554)

Step 5 : The 98% confidence interval for the slope is :

(-2.308 , 6.308)