Question

The following data give the number of hours 1010 students spent studying and their corresponding grades on their midterm exams.

Hours Studying	00	0.50.5	0.50.5	11	1.51.5	1.51.5	1.51.5	22	22	4.54.5
Midterm Grades	6868	7171	7575	7777	8282	8282	9191	9393	9999	100100

Table

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Step 1 of 5:

Calculate the sum of squared errors (SSE). Use the values b0=72.0679b0=72.0679 and b1=7.8214b1=7.8214 for the calculations. Round your answer to three decimal places.

Step 2 of 5:

Calculate the estimated variance of errors, s2ese2. Round your answer to three decimal places.

Step 3 of 5:

Calculate the estimated variance of slope, s2b1sb12. Round your answer to three decimal places.

Step 4 of 5:

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

Step 5 of 5:

Construct the 90%90% 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 = 317.154

Step 2 : S²e = 39.644

Step 3 : S²b = 61.175

Step 4 : The 99% confidence interval for the slope is :

(2.175 , 13.468)

Step 5 : The 90% confidence interval for the slope is :

(4.692 , 10.951)