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. $1.05$
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
$y' = -0.1701\times 28 + 5.816=1.05$
