For this problem, let's suppose that you are a psychol$-$

ogist employed in the human resources department

of a large corporation. The corporation president has

just finished talking with you about the importance

of hiring productive personnel in the manufacturing

section of the corporation and has asked you to help

improve the corporation's ability to do so$.$ There are

$300$ employees in this section, with each employee

making the same item. Until now, the corporation

has been depending solely on interviews for select$-$

ing these employees. You search the literature and

discover two well$-$standardized paper & pencil per$-$

formance tests that you think might be related to the

performance requirements of this section. To deter$-$

mine whether either might be used as a screening

device, you select $10$ representative employees from

the manufacturing section, making sure that a wide

range of performance is represented in the sample,

and administer the two tests to each employee. The

data are shown in the table. The higher the score,

the better the performance. The work performance

scores are the actual number of items completed

by each employee per week, averaged over the past

$6$ months.

a$.$ Construct a scatter plot of work performance and

test $1,$ using test $1$ as the $x$ variable. Does the

relationship look linear?

b$.$ Assuming it is linear, compute the value of

Pearson $r.$

c$.$ Construct a scatter plot of work performance and

test $2,$ using test $2$ as the $x$ variable. Is the rela$-$

tionship linear?

d$.$ Assuming it is linear, compute the value of Pear$-$

son $r.$

e$.$ If you could use only one of the two tests for

screening prospective employees, would you use

either test? If yes, which one? Explain. I$/$O