Question

In: Statistics and Probability

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 1 1 3 5 6
Grades 74 86 87 96 98

Step 1 of 5 : Calculate the sum of squared errors (SSE). Use the values b0=76.2307b0=76.2307 and b1=3.7404b1=3.7404 for the calculations.

Step 2 of 5 : Calculate the estimated variance of errors, s^2e. .

Step 3 of 5 : Calculate the estimated variance of slope, s^2b1 .

Step 4 of 5 : Construct the 90% confidence interval for the slope. Lower point and Upper points

Step 5 of 5 : Construct the 99% confidence interval for the slope. Lower point and Upper point

Solutions

Expert Solution

Step 1 of 5 : Calculate the sum of squared errors (SSE). =73.7981

Step 2 of 5 : Calculate the estimated variance of errors, s^2e =24.599

Step 3 of 5 : Calculate the estimated variance of slope, s^2b1 .=1.183

Step 4 of 5 : Construct the 90% confidence interval for the slope =1.181 ; 6.299

Step 5 of 5 : Construct the 99% confidence interval for the slope. =-2.612 ; 10.092

orchestra answered 2 years ago
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