In fitting a least squares line to n = 10 data points, the

Chapter 11, Problem 79E

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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.

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.

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