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.