Sample Problems for the Final Exam (Ch. 14, 15, 21 and 22)
Statistics 110, Spring 2009
Page 1 of 5
Questions 1 – 6 are based on the following description:
For a group of military inductees, the weight,
x
, and exercise capacity,
y
, were recorded for ten
individuals. Use the output and scatterplot below to answer the following questions.
Regression line:
y
= 44.9 – 0.11*
x
r
2
=
0.604
Scatterplot of Weight and Exercise Capacity
13
18
23
28
33
120
140
160
180
200
220
240
260
Weight (pounds)
Exercise Capacity (# of sit-ups)
1.
What percent of the variation in exercise capacity is explained by a relationship with weight?
A)
11%
B)
77.7%
C)
60.4%
D)
44.9%
2.
What is the value of the linear correlation coefficient?
3.
Describe the form, direction, and strength of the relationship between the two variables.

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