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: 3

Answer

a. see the plot. b. $r=0.873$ c. The correlation coefficient is significant. d. $y' = 1.089x + 62.917$ e. see the plot. f. NA There is a significant linear relationship between the variables.

Work Step by Step

a. Draw the scatter plot. see the plot. b. Compute the value of the correlation coefficient. $r=0.873$ c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I. $df=5, r_c=0.875$ $r\approx r_c$ the correlation coefficient is significant. d. Determine the regression line equation if r is significant. $y' = 1.089x + 62.917$ 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. Not required by the question. There is a significant linear relationship between the variables.
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