Answer
a. see the plot.
b. $r=0.91$
c. The correlation coefficient is significant at $\alpha=$0.01
d. $y = 2.6623x + 64.936$
e. see the plot.
f. $86.23$
Work Step by Step
a. Draw the scatter plot.
see the plot.
b. Compute the value of the correlation coefficient.
$r=0.91$
c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I.
$df=7, r_c=0.798, r> r_c$, the correlation coefficient is significant at $\alpha=$0.01
d. Determine the regression line equation if r is significant.
$y = 2.6623x + 64.936$
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=8
$y = 2.6623\times8 + 64.936=86.23$
