Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 10 - Correlation and Regression - Review Exercises - Section 10-1 and 10-2 - Page 603: 4

Answer

a. See the plot. b. $r=0.61$ c. The correlation coefficient is not significant at $\alpha=$0.01 d. $y' = -0.1701x + 5.816$ e. See the plot. f. $1.05$
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Work Step by Step

a. Draw the scatter plot. See the plot. b. Compute the value of the correlation coefficient. $r=0.61$ c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I. $df=5, r_c=0.875$ $r< r_c$ the correlation coefficient is not significant at $\alpha=$0.01 d. Determine the regression line equation if r is significant. $y' = -0.1701x + 5.816$ e. Plot the regression line on the scatter plot, if appropriate. See the plot. f. Predict y for a specific value of x, if appropriate. x=28 $y' = -0.1701\times 28 + 5.816=1.05$
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