Answer
a. see the plot.
b. $r=-0.974$
c. The correlation coefficient is significant at $\alpha=$0.01
d. $y = -0.1371x + 14.086$
e. see the plot.
f. $4.21$
Work Step by Step
a. Draw the scatter plot.
see the plot.
b. Compute the value of the correlation coefficient.
$r=-0.974$
c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I.
$df=10, r_c=0.708, |r|>r_c$ the correlation coefficient is significant at $\alpha=$0.01
d. Determine the regression line equation if r is significant.
$y = -0.1371x + 14.086$
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.
$y = -0.1371\times72 + 14.086=4.21$
