Below are the prices for several dumbbells (exercise weights) at different sizes. Each row refers to the price of
a single dumbbell (even though they are sold in pairs)
Weight (pounds)
1
2
Price (dollars)
$5.51
$5.01
3
$7.87
5
$8.02
8
$12.03
10
$15.03
12
$16.88
15
$21.12
20
$28.48
A)
Give the equation for the regression line for the price of weights. Write your answer in terms of pounds
and dollars.
B)
What is the value of the slope from your equation? What is the meaning of the slope in the context of
this problem?
C)
What is the value of the y-intercept from your equation? What is the meaning of the y-intercept in the
context of this problem?
D)
Find the r value, the Pearson Correlation Coefficient. Based on this value of r, do you think you could
use your equation to predict the price of a 16 pound weight? Why or why not?