In fitting a least squares line to n = 15 data points, the

Chapter 11, Problem 95SE

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QUESTION:

Problem 95SE

In fitting a least squares line to n = 15 data points, the following quantities were computed: SSxx = 55, SSyy = 198, SSxy = -88,

a. Find the least squares line.

b. Graph the least squares line.

c. Calculate SSE.

d. Calculate s2.

e. Find a 90% confidence interval for β1. Interpret this estimate.

f. Find a 90% confidence interval for the mean value of y when x = 15.

g. Find a 90% prediction interval for y when x = 15.

Questions & Answers

QUESTION:

Problem 95SE

In fitting a least squares line to n = 15 data points, the following quantities were computed: SSxx = 55, SSyy = 198, SSxy = -88,

a. Find the least squares line.

b. Graph the least squares line.

c. Calculate SSE.

d. Calculate s2.

e. Find a 90% confidence interval for β1. Interpret this estimate.

f. Find a 90% confidence interval for the mean value of y when x = 15.

g. Find a 90% prediction interval for y when x = 15.

ANSWER:

Step 1 of 8

The given data is:

 

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