### Home > INT1 > Chapter 4 > Lesson 4.2.3 > Problem4-86

4-86.

A human resources manager recorded the experience and hourly wage for a sample of 10 technology workers. 4-86 HW eTool

  Experience (years)  Hourly Wage ($) $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $12.00$ $13.25$ $14.00$ $16.00$ $17.00$ $18.00$ $19.50$ $21.00$ $22.00$ $23.25$ 1. Sketch a scatterplot showing the association between the wage and the years of experience. Describe the association. • Create a scatterplot with the $x$-axis labeled "Experience (years)" and the y-axis labeled "Hourly Wage ($)."

• See 4-86(a) Answer eTool. Remember to describe the association.

1. Sketch the residual plot. Is a linear model appropriate?

Refer to the Math Notes box in this lesson to review residual plots.

See 4-86(b) Residual Answer eTool. Is the linear model appropriate?
Why or why not?

2. What is the correlation coefficient? What does it tell you?

• Remember that the correlation coefficient, $r$, is a measure of how much or how little the data is scattered around the LSRL.

Use the eTool below to help you with this problem.
Click the link at right for the full version of the eTool: 4-86 HW eTool