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 0 5 5 6 6
Midterm Grades 61 64 72 76 85

Step 1 of 6 : Calculate the sum of squared errors (SSE). Use the values b0=59.2382 and b1=2.8095 for the calculations. Round your answer to three decimal places.

Step 2 of 6: Calculate the estimated variance of errors, s^2e. Round your answer to three decimal places.

Step 3 of 6: Calculate the estimated variance of slope, s^2b1. Round your answer to three decimal places.

Step 4 of 6: Construct the 95% confidence interval for the slope. Round your answers to three decimal places.

Lower and upper endpoints.

Step 5 of 6: Construct the 98% confidence interval for the slope. Round your answers to three decimal places. Lower and upper endpoints

Step 6 of 6: Construct the 90% confidence interval for the slope. Round your answers to three decimal places. Lower and upper endpoints.

Solutions

Expert Solution

The statistical software output for this problem is :

1)

SSE = 170.286

2)

estimated variance of errors = 56.762

3)

estimated variance of slope = 2.252

4)

-0.722 to 6.341

5)

-1.967 to 7.586

6)

-4.005 to 9.624


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