The following data give the number of hours 5 5 students spent studying and thei

Question

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

Hours Studying   Midterm Grades
1 74
3 75
4 85
4 94
5 97

Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=64.6738 b 0 = 64.6738 and b1=5.9783 b 1 = 5.9783 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 slope, s2b1. 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 90% confidence interval for the slope. Round your answers to three decimal places.

Explanation / Answer

a) SSE = 117.1957

b) s^2_e = SSE/(n-2) = SSE/3 = 39.06522

c) variance (b1) = s^2_e / SS_xx = 4.246219

d) 80% confidence interval

=b1 +- z * se(b1)

e) 90% confidence interval

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