The following data represent the weight of a person riding a bike and the rolling distance achieved after going down a hill without pedaling.

Weight (lbs.)
59
84
97
56
103
87
88
92
53
66
75
100
Distance (m.)
26
43
48
20
59
44
48
46
28
32
39
49

a. Identify the predictor and the predicted variables. Which one makes more sense to predict, weight or distance?


b. What is the correlation coefficient, r, from the calculator?

c. Here is a scatterplot of the data:

Use the correlation coefficient, , and scatterplot to describe the type of model, direction, and strength of the relationship between the explanatory and response variables by circling the most appropriate answer for each.
type of model: [ linear | nonlinear | no relation ]
direction: [ positive | negative | no direction ]
strength: [ none | weak | moderate | strong ]


d. Write the equation of the regression line for the given data.



e. What is the predicted distance of a student who weighed 75 pounds? Does the predicted value underestimate or overestimate the actual raw data value?