Answer
a. See the scattered plot.
b. $r=0.440$
c. we do not reject the null hypothesis.
d. $y'=1.0167x + 23.433$
e. see the plot.
f. $y=33.6$
There is a weak linear relationship between the variables.
Work Step by Step
a. Draw the scatter plot.
See the scattered plot.
b. Compute the value of the correlation coefficient.
$r=0.440$
c. Test the significance of the correlation coefficient at $\alpha=$0.01, using Table I.
$H_o: \rho=0$
$H_a: \rho\ne0$
$\alpha=0.01, df=6, r_c=0.834$
Since $|r|\lt r_c$ we do not reject the null hypothesis.
d. Determine the regression line equation.
$y'=1.0167x + 23.433$
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=10
$y=1.0167\times10 + 23.433=33.6$
There is a weak linear relationship between the variables.
