Question

In: Statistics and Probability

The following data give the number of hours 7 students spent studying and their corresponding grades...

The following data give the number of hours 7 students spent studying and their corresponding grades on their assignments.

Hours Studying 0.5 1 1 1.5 2 2.5 5
Grades 79 81 82 90 94 97 99

Step 1 of 5:

Calculate the sum of squared errors (SSE). Use the values b0=79.9375 and b1=4.6250 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 the slope, s2b1. Round your answer to three decimal places.

Step 4 of 5:

Construct the 90% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5:

Construct the 95% confidence interval for the slope. Round your answers to three decimal places

Solutions

Expert Solution

The statistical software output for this problem is :

Step 1 : SSE = 109.5

Step 2 : S2e = 21.9

Step 3 : S2b = 1.597

Step 4 : The 90% confidence interval for the slope is :

(2.079 , 7.171)

Step 5 : The 95% confidence interval for the slope is :

(1.377 , 7.873)


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