MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Answer true or false to each of the following statements and explain your answers.
a. Correlations among values of the response variable have no effect whatsoever on statistical inferences based upon the t-statistics and F-statistic used in multiple linear regression.
b. When there are errors in the measurements of the predictor variables, statistical inferences in regression analysis become less reliable.
c. A nonrepresentative sample of the population of interest will have no effect on the regression model that is obtained.

Expert Solution
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Step 1

a).

Correlation among values of the response variable underestimates the common conditional standard deviation. This produces larger values of t-statistics for testing utilities of predictors or F-statistics for utility of the regression, leading to rejection of the null hypothesis when it is true or more often.

Thus, the statement is False.

Step 2

b).

The presence of measurement errors increases the variation in the data unnecessarily. The inferences drawn by analyzing a data with excessive error are unreliable.

Therefore, the statement is True.

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