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Many statistics courses cover a topic called multiple regression. This provides a means to predict the value of a dependent variable y based on two or more independent variables x1, x2, ..., xn. The model y = ax1 + bx2 + c is a linear model that predicts y based on two independent variables x1 and x2. While statistical techniques may be used to find the values of a, b, and c based on a large number of data points, we can form a crude model given three data values (x1, x2, y). Use the information given in Exercise to form a system of three equations and three variables to solve for a, b, and c. The gas mileage y (in mpg) for city driving is given based on the weight of the vehicle x1 (in Ib) and on the number of cylinders. Weight (Ib) x, Cylinders x, Mileage (mpg) y 3500 20 3200 4 26 4100 18 a. Use the data to create a model of the form y = ax1 + bx2 + c. b. Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 lb and has 6 cylinders.

Many statistics courses cover a topic called multiple regression. This provides a means to predict the value of a dependent variable y based on two or more independent variables x1, x2, ..., xn. The model y = ax1 + bx2 + c is a linear model that predicts y based on two independent variables x1 and x2. While statistical techniques may be used to find the values of a, b, and c based on a large number of data points, we can form a crude model given three data values (x1, x2, y). Use the information given in Exercise to form a system of three equations and three variables to solve for a, b, and c. The gas mileage y (in mpg) for city driving is given based on the weight of the vehicle x1 (in Ib) and on the number of cylinders. Weight (Ib) x, Cylinders x, Mileage (mpg) y 3500 20 3200 4 26 4100 18 a. Use the data to create a model of the form y = ax1 + bx2 + c. b. Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 lb and has 6 cylinders.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
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Many statistics courses cover a topic called multiple regression. This provides a means to predict the value of a dependent variable y based on two or more independent variables x1, x2, ..., xn. The model y = ax1 + bx2 + c is a linear model that predicts y based on two independent variables x1 and x2. While statistical techniques may be used to find the values of a, b, and c based on a large number of data points, we can form a crude model given three data values (x1, x2, y). Use the information given in Exercise to form a system of three equations and three variables to solve for a, b, and c. The gas mileage y (in mpg) for city driving is given based on the weight of the vehicle x1 (in Ib) and on the number of cylinders. Weight (Ib) x, Cylinders x, Mileage (mpg) y 3500 20 3200 4 26 4100 18 a. Use the data to create a model of the form y = ax1 + bx2 + c. b. Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 lb and has 6 cylinders.
Transcribed Image Text:Many statistics courses cover a topic called multiple regression. This provides a means to predict the value of a dependent variable y based on two or more independent variables x1, x2, ..., xn. The model y = ax1 + bx2 + c is a linear model that predicts y based on two independent variables x1 and x2. While statistical techniques may be used to find the values of a, b, and c based on a large number of data points, we can form a crude model given three data values (x1, x2, y). Use the information given in Exercise to form a system of three equations and three variables to solve for a, b, and c. The gas mileage y (in mpg) for city driving is given based on the weight of the vehicle x1 (in Ib) and on the number of cylinders. Weight (Ib) x, Cylinders x, Mileage (mpg) y 3500 20 3200 4 26 4100 18 a. Use the data to create a model of the form y = ax1 + bx2 + c. b. Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 lb and has 6 cylinders.
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