Study Guide 5-1 (Set 1)
REGRESSION
1. The following data were collected on the height (inches) and weight (pounds) of
women swimmers: (Mary, 68 in, 132 lbs); (Sue, 64, 108); (Joyce, 62, 102); (Sally, 65,
115); (Sharon, 66, 128). If a swimmer’s height is 63 inches, what would you estimate her
weight to be?
2. The data shown below were collected on the monthly starting salaries and the grade
point averages for undergraduate students who had obtained a degree in political science:
(John, 2.6, $1400); (Joe, 3.4, $1700); (Bill, 3.6, $2100); (Tom, 3.2, $1600); (Tim, 3.5,
$2000); (Jeff, 2.9, $1700). Predict the monthly starting salary for a student with a 3.0
GPA.
3. Joe is interested in purchasing a pontoon boat. He found a study with data showing
how the pontoon speed in miles per hour (mph) affected fuel consumption in gallons per
hour. The data is shown as follows: (6.1 mph, 2.3 gal), (10.7 mph, 4.8 gal), (20.9 mph,
7.5 gal), (27.5 mph, 9.2 gal), (31.5 mph, 12.4 gal). What is the estimated fuel
consumption (in gallons per hour) if the pontoon speed is 25 mph?
4. A sales manager collected data on his sales team concerning their years of experience
and annual sales in thousands of dollars. Using the following data, predict annual sales
for a salesperson with 9 years experience.
(A, 1, $80), (B, 3, 97), (C, 4, 92), (D, 4, 102), (E, 6, 103), (F, 8, 111), (G, 10, 119), (H,
10, 123), (I, 11, 117), (J, 13, 136)
5. You work part-time for a real estate company. They know you have taken a course in
statistics and ask you to predict the selling price for a home with 2700 square feet. They
provide you with the following data regarding the selling price of new homes and the size
of the homes measured in terms of square footage: (A, 2500 sq ft, $124,000), (B, 2400,
$108,000), (C, 1800, $92,000), (D, 3000, $146,000), (E, 2300, $110,000)