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In fitting a least squares line to n = 10 data points, the
Chapter 11, Problem 79E(choose chapter or problem)
Problem 79E
In fitting a least squares line to n = 10 data points, the following quantities were computed:
SSxx = 32 = 4 SSxy = 28
a. Find the least squares line.
b. Graph the least squares line.
c. Calculate SSE.
d. Calculate s2.
e. Find a 95% confidence interval for the mean value of y when xp = 2.5.
f. Find a 95% prediction interval for y when xp = 4.
Questions & Answers
QUESTION:
Problem 79E
In fitting a least squares line to n = 10 data points, the following quantities were computed:
SSxx = 32 = 4 SSxy = 28
a. Find the least squares line.
b. Graph the least squares line.
c. Calculate SSE.
d. Calculate s2.
e. Find a 95% confidence interval for the mean value of y when xp = 2.5.
f. Find a 95% prediction interval for y when xp = 4.
ANSWER:
Step 1 of 9
Given information is as follows:
a) The least square line is given by,
Where,
= intercept.
= Regression coefficient.
First we find the value of .
The formula for is given by,
Therefore, the value of is 0.875.