Use the Following to Answer Questions 5 - 8 - $$\text { Find the value of } R ^ { 2 } \text {. Interpret its meaning in this context. }$$

question 4

Essay

Use the following to answer questions 5 - 8.
To determine whether the cash bonus paid by a company is related to annual pay, data
were gathered for 10 account executives at Johnson Financial Group who received cash
bonuses in 2007. The data, scatterplot, and summary statistics are shown below. $$\begin{array} { | l | l | l | } \hline & \text { ANNUAL PAY } & \text { CASH BONUS } \\\hline & \$ 70609 & \$ 11225 \\\hline & \$ 58487 & \$ 6238 \\\hline & \$ 104561 & \$ 14194 \\\hline & \$ 43922 & \$ 4188 \\\hline & \$ 82613 & \$ 11863 \\\hline & \$ 116250 & \$ 13671 \\\hline & \$ 76751 & \$ 7758 \\\hline & \$ 68513 & \$ 20760 \\\hline & \$ 137000 & \$ 55000 \\\hline & \$ 94469 & \$ 34368 \\\hline & & \\\hline \text { Mean } & \$ 85318 & \$ 17927 \\\hline \text { Standard Deviation } & \$ 28077 & \$ 15618 \\\hline & & \\\hline \text { Correlation } & 0.735 & \\\hline\end{array}$$
- $$\text { Find the value of } R ^ { 2 } \text {. Interpret its meaning in this context. }$$

---

Definitions:

Motor Cortex

A part of the cerebral cortex concerned with devising, supervising, and enacting movements done by choice.

Left Side Of The Brain

Refers to the left hemisphere of the brain, which is typically associated with logical reasoning, analytical skills, and language processing.

Limb Movements

Physical actions or gestures involving the arms, legs, hands, or feet, often in relation to locomotion or expression.

Cerebral Cortex

The outer layer of the cerebrum in the brain, involved in various high-level brain functions such as sensation, voluntary muscle movement, thought, reasoning, and memory.