In the following MINITAB output, some of the numbers have

Chapter 7, Problem 15E

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QUESTION:

In the following MINITAB output, some of the numbers have been accidentally erased. Recompute them, using the numbers still available. There are \(n=25\) points in the data set.

The regression equation is

Y = 1.71 + 4.27 X

Predictor Coef SE Coef T P

Constant 1.71348 6.69327 (a) (b)

X 4.27473 (c) 3.768 (d)

S = 0.05749 R-Sq = 38.2%

Equation Transcription:

Text Transcription:

n=25

Questions & Answers

QUESTION:

In the following MINITAB output, some of the numbers have been accidentally erased. Recompute them, using the numbers still available. There are \(n=25\) points in the data set.

The regression equation is

Y = 1.71 + 4.27 X

Predictor Coef SE Coef T P

Constant 1.71348 6.69327 (a) (b)

X 4.27473 (c) 3.768 (d)

S = 0.05749 R-Sq = 38.2%

Equation Transcription:

Text Transcription:

n=25

ANSWER:

Step 1 of 4

Given:

(a) The estimate of the intercept is given in the row "Constant" and in the column "Coef" of the given MINITAB output:

The standard error of the intercept is given in the row "Constant" and in the column "SE Coef" of the given MINITAB output:

The t-value corresponding to the intercept is then the t-value corresponding to the test with null hypothesis  :

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