CPM Homework Help : INT1 Problem 4-86

A human resources manager recorded the experience and hourly wage for a sample of $10$ technology workers.

Experience (years)	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
Hourly Wage ($)	$12.00$	$13.25$	$14.00$	$16.00$	$17.00$	$18.00$	$19.50$	$21.00$	$22.00$	$23.25$

Sketch a scatterplot showing the association between the wage and the years of experience. Describe the association.

Hint (a):
Create a scatterplot with the $x$ -axis labeled "Experience (years)" and the y-axis labeled "Hourly Wage ($)."
Answer (a):
See answer at right. Remember to describe the association.

First quadrant scatterplot, x axis labeled, experience in years, y axis labeled, Hourly Wage ($), with points from table, points with large x values, have larger y values.

Sketch the residual plot. Is a linear model appropriate?

Hint (b):
Refer to the Math Notes box in this lesson to review residual plots.
More Help (b):
Label the $x$ -axis "Experience (years)" and the $y$ -axis "Hourly Wage ($) as you did with the scatterplot.
Answer (b):
See answer at right. Is the linear model appropriate?
Why or why not?

First & fourth quadrant scatterplot, x axis labeled, experience (years), scaled from 0 to 10, y axis labeled ($), scaled from negative 6 to 6. Points are approximately as follows: (1, comma 1), (2, comma 1), (3, comma negative 4), (4, comma 3), (5, comma 0.5), (6, comma negative 2), (7, comma 0), (8, comma 2), (9, comma negative 0.5), (10, comma negative 1).

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

Hint (c):
Remember that the correlation coefficient, $r$ , is a measure of how much or how little data is scattered around the LSRL.

Click the link at right for the full version of the eTool: Int1 4-86 HW eTool