Question

The following data give the number of hours 7 students spent studying and their corresponding grades on their assignments.

Hours Studying	0.5	1	1	1.5	2	2.5	5
Grades	79	81	82	90	94	97	99

Step 1 of 5:

Calculate the sum of squared errors (SSE). Use the values b0=79.9375 and b1=4.6250 for the calculations. Round your answer to three decimal places.

Step 2 of 5:

Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.

Step 3 of 5:

Calculate the estimated variance of the slope, s2b1. Round your answer to three decimal places.

Step 4 of 5:

Construct the 90% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5:

Construct the 95% 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 = 109.5

Step 2 : S²e = 21.9

Step 3 : S²b = 1.597

Step 4 : The 90% confidence interval for the slope is :

(2.079 , 7.171)

Step 5 : The 95% confidence interval for the slope is :

(1.377 , 7.873)