In: Statistics and Probability
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
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)