Question

Study Time and Score. An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied $\left(x\right)$over $2$weeks and test score $\left(y\right)$at the end of the $2$weeks. Here are the results.

Short answer

The regression inference assumptions are graphically displayed in the diagram, and they appear to be met.

Step-by-step solution

Given Information

Given data:

Explanation

For satisfying regression inference assumptions $1-3$, constants ${\beta }_0$, ${\beta }_1$, and $\sigma$are used.

As a result, the test scores of all students in the beginning calculus course who study that amount of hours are normally distributed with mean ${\beta }_0+{\beta }_{1}x$and standard deviation $\sigma$for each total number of hours studied $\left(x\right)$.

The diagram is presented below.