QUESTIONS
Question 1
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting the number of games a baseball team wins in a season, given their runs scored and runs allowed
- predicting the number of miles on the odometer of a car, given its age
- predicting the weekly sales in thousands of dollars at a store of a big-box retail chain, given the store’s area in square feet and the number of employees
- predicting the number of flu cases in a flu season, given the average daily temperature over the preceding 3months
Question 2
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting the number of occupants of a building, given its height and the area of the ground floor
- predicting the starting salary for a recent college graduate, given the graduate’s grade point average (GPA)
- predicting the shoe size of an adult male, given his hat size and weight
- predicting the average daily commute time in minutes for employees, given the distance between their homes and their workplaces (in miles)
Question 3
Tara is an arborist who is looking to find an equation that predicts the trunk diameter of an Eastern white pine, y, in inches, given its height, x1, in feet and its age, x2, in years. She obtains the regression equation yˆ=6.32+0.205×1+0.022×2. Predict the trunk diameter of an Eastern white pine tree that is 81 feet tall and 55 years old, rounding to two decimal places.
Question 4
An assistant principal of a school wants to predict the annual salary, y, in thousands of dollars, of a teacher in a school district, given the number of years of teaching experience x1, the total number of years of education x2, and the average scores of the teacher’s students on a standardized test x3. She obtains the multiple regression equation yˆ=41.113+0.289x1+0.186x2+0.078x3. Predict the annual salary of a teacher (in dollars) with 6 years of teaching experience, 18 years of education, and whose students have an average score of 78. Round to the nearest whole dollar.
Question 5
Lindsey is the manager of a manufacturing plant. She wants to determine how an employee’s productivity rating over time (on a 100-point scale) is related to the number of years of experience and the amount of coffee the employee drinks per day, in ounces. What is the correct format for a multiple regression equation?
- yˆ=b1x1+b2x2
- yˆ=b0+b1x1+b2x2
- yˆ=b0+b1x1+b2x2+b3x3
- yˆ=b0+b1x1+b2x2+b3x3+b4x4
Question 6
Yvette is a veterinarian who wants to find an equation that relates the weight, in pounds, of a cat with its age, in years; its length, in inches; and its average daily intake of cat food, in calories. What is the correct format for a multiple regression equation?
What is the correct format for a multiple regression equation?
- yˆ=b1x1+b2x2+b3x3
- yˆ=b0+b1x1+b2x2
- yˆ=b0+b1x1+b2x2+b3x3+b4x4
- yˆ=b0+b1x1+b2x2+b3x3
Question 7
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting an athlete’s time in the 800-meter dash, given their times in the 400-meter dash and the 1,500-meter run
- predicting the value of a car in dollars, given its age and mileage
- predicting the annual average precipitation in a region, given the average temperature on July 1
- predicting the average attendance at a hockey team’s home games, given its average goals per game and the number of wins it had in the previous season
Question 8
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting the weight of an elephant, given its age and height
- predicting the annual soybean yield (in bushels per acre) given the number of acres planted and the number of acres harvested
- predicting the annual banana yield (in bushels per acre) given the amount of rainfall (in inches)
- predicting the height of an oak tree (in feet) given its age (in years)
Question 9
Andy works for a food vendor and wants to determine how the annual sales, in dollars, for a food truck is related to the average review of the food truck (on a 100-point scale) on a business review website and the number of hours per week that the food truck is open. What is the correct format for a multiple regression equation?
- yˆ=b1x1+b2x2
- yˆ=b0+b1x1+b2x2
- yˆ=b0+b1x1+b2x2+b3x3
- yˆ=b0+b1x1+b2x2+b3x3+b4x4
Question 10
Lily is an arborist who wants to determine how the height of a sequoia tree, in meters, can be related to its age and the diameter of its trunk, in meters. What is the correct format for a multiple regression equation?
- yˆ=b1x1+b2x2
- yˆ=b0+b1x1+b2x2+b3x3
- yˆ=b0+b1x1+b2x2+b3x3+b4x4
- yˆ=b0+b1x1+b2x2
Question 11
A manager for a company wants to predict the annual salary, y, in thousands of dollars for employees working for the company, given their starting annual salary in thousands of dollars, x1, the number of years at the company x2, and the number of years of education x3. She obtains the regression equation yˆ=22.882+0.672x1+0.495x2+0.713x3. Predict the salary (in dollars) of an employee who has been at the company for 12 years, started at an annual salary of $41,000, and has 16 years of education. Round to the nearest whole dollar.
Question 12
The owner of a company wants to predict the annual salaries of employees at a company, y, in thousands of dollars, given an employee’s annual starting salary, x1, in thousands of dollars and the number of years working for the company, x2. She obtains the regression equation yˆ=29.882+0.672x1+0.495x2. Predict the salary (in dollars) of an employee who has been working for the company for 12 years and who had an annual starting salary of $41,000. Round to the nearest whole dollar.
ANSWERS:
Question 1
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting the number of games a baseball team wins in a season, given their runs scored and runs allowed
- predicting the number of miles on the odometer of a car, given its age
- predicting the weekly sales in thousands of dollars at a store of a big-box retail chain, given the store’s area in square feet and the number of employees
- predicting the number of flu cases in a flu season, given the average daily temperature over the preceding 3months
Answer
predicting the number of games a baseball team wins in a season, given their runs scored and runs allowed
predicting the weekly sales in thousands of dollars at a store of a big-box retail chain, given the store’s area in square feet and the number of employees
Question 2
In which of the following situations can multiple regression be performed? Select all that apply.
- predicting the number of occupants of a building, given its height and the area of the ground floor
- predicting the starting salary for a recent college graduate, given the graduate’s grade point average (GPA)
- predicting the shoe size of an adult male, given his hat size and weight
- predicting the average daily commute time in minutes for employees, given the distance between their homes and their workplaces (in miles)
Answer
predicting the number of occupants of a building, given its height and the area of the ground floor
predicting the shoe size of an adult male, given his hat size and weight
Question 3
Tara is an arborist who is looking to find an equation that predicts the trunk diameter of an Eastern white pine, y, in inches, given its height, x1, in feet and its age, x2, in years. She obtains the regression equation yˆ=6.32+0.205×1+0.022×2. Predict the trunk diameter of an Eastern white pine tree that is 81 feet tall and 55 years old, rounding to two decimal places.
Answer
24.14 inches
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