A Psychologist Wants to Determine If There Is a Linear

question 35

Essay

A psychologist wants to determine if there is a linear relationship between the nun hours a person goes without sleep and the number of mistakes he/she makes on a : test. The following data is recorded.
a. Draw a scatter plot.
b. Determine the regression line equation and plot the regression line on the scatter plot.
$\begin{array} { c c } \text { Hours without Sleep, } \boldsymbol { x } & \text { Number of Mistakes, } y \\ 32 & 6 \\ 38 & 8 \\ 48 & 13 \\ 24 & 5 \\ 46 & 7 \\ 35 & 6 \\ 30 & 5 \\ 34 & 8 \\ 42 & 12 \end{array}$

---

Definitions:

Functional Units

Individual parts or components of a system that carry out specific functions, contributing to the system's overall operation.

Nephrons

The functional units of the kidney, responsible for filtering and removing waste products from the blood to form urine.

Synthesis

The process of combining two or more components to produce an entity of new complexity.

Vitamin D

A fat-soluble vitamin essential for calcium absorption, bone health, and immune function, produced by the body when the skin is exposed to sunlight.