Question

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

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

Hours Studying 0 0 2 3 4
Midterm Grades 61 73 84 86 100

a.Calculate the sum of squared errors (SSE). Use the values b0=66.9062 and b1=7.7188 for the calculations. Round your answer to three decimal places.

b. Calculate the estimated variance of errors, s2e.

c. Calculate the estimated variance of the slope, s2b1.

d. Construct the 90% confidence interval for the slope.

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Answer #1

The statistical software output for this problem is:

On the basis of above output:

a) SSE = 96.188

b) s2e = MSE = 32.063

c) s2b1 = (1.5826822)2 = 2.505

d) 90% confidence interval:

Lower limit = 3.994

Upper limit = 11.443

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