A marketing firm is interested in developing co$-$op relationships with college students so that it

will have a ready$-$made pool of future employees. Whinter, the firm$$s CEO, wants to know if

students who display high logical reasoning $($they use a rational, systematic series of steps to

arrive at conclusions$)$ will also display high creativity. Whinter directs Jake $($the HR manager$)$ to

determine whether logical reasoning can be used to predict creativity. Jake randomly samples

$10$ students and administers both a logical reasoning assessment and a creativity assessment

to each student in the sample. For each assessment, students are scored from $1$ to $20,$ with

higher scores indicating higher logical reasoning levels or higher creativity levels. Below are the

data that Jake collects.

What is the value for the sample covariance?

Student Logical

Reasoning Creativity

$11512$

$21013$

$379$

$41818$

$557$

$6109$

$7714$

$81716$

$91510$

$10912$

$10\mathrm{.}22$

$10\mathrm{.}44$

$9$

$94$

Question $221$ pts

Interpret the sample covariance with respect to the research question.

There is a strong positive relationship between logical reasoning and creativity

A one$-$point increase in creativity is associated with an average increase in logical reasoning equal to the

value for the covariance

There is a weak positive relationship between logical reasoning and creativity.

A one$-$point increase in logical reasoning is associated with an average increase in creativity equal to the

value for the covariance

There is a positive relationship between logical reasoning and creativity

Question $231$ pts

What is the value of the sample correlation coefficient?