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Statistics / Statistics for Engineers and Scientists 4 / Chapter 7.3 / Problem 16E

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

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Solved: In the following MINITAB output, some of the

Chapter 7, Problem 16E

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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 \(n=20\) points in the data set.

Predictor Coef SE Coef T P

Constant (a) 0.43309 0.688 (b)

X 0.18917 0.065729 (c) (d)

S = 0.67580 R-Sq = 31.0%

Equation Transcription:

$n=20$

Text Transcription:

n=20

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 \(n=20\) points in the data set.

Predictor Coef SE Coef T P

Constant (a) 0.43309 0.688 (b)

X 0.18917 0.065729 (c) (d)

S = 0.67580 R-Sq = 31.0%

Equation Transcription:

$n=20$

Text Transcription:

n=20

ANSWER:

Step 1 of 4

Given:

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

The -value of the slope is given in the row "Constant" and in the column "T" of the given MINITAB output:

The -value corresponding to the intercept is then the $\mathrm{t}$-value corresponding to the test with null hypothesis :

Multiply each side of the previous equation by :

Add to each side:

Fill in the known values and evaluate:

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