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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. X. ... X. The model y = ax, +bx,+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. V). Use the information given 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 1b) and on the number of cylinders x2. Weight (1b) x1 Cylinders X2 Mileage (mpg) y 3500 6 18 3200 20 4200 8 14 Part: 0/2 Part 1 of 2 (a) Use the data to create a model of the form y = ax,+bx,+c. Enter all numbers as simplified fractions or as integers. The model is y =-0.005x, - 0.25x, + 37 X2

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. X. ... X. The model y = ax, +bx,+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. V). Use the information given 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 1b) and on the number of cylinders x2. Weight (1b) x1 Cylinders X2 Mileage (mpg) y 3500 6 18 3200 20 4200 8 14 Part: 0/2 Part 1 of 2 (a) Use the data to create a model of the form y = ax,+bx,+c. Enter all numbers as simplified fractions or as integers. The model is y =-0.005x, - 0.25x, + 37 X2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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. ... X. The model y = ax, +bx,+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. V). Use the information given 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 1b) and on the number of cylinders x2. Weight (1b) x1 Cylinders X2 Mileage (mpg) y 3500 6 18 3200 20 4200 8 14 Part: 0/2 Part 1 of 2 (a) Use the data to create a model of the form y = ax,+bx,+c. Enter all numbers as simplified fractions or as integers. The model is y =-0.005x, - 0.25x, + 37 X2
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. ... X. The model y = ax, +bx,+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. V). Use the information given 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 1b) and on the number of cylinders x2. Weight (1b) x1 Cylinders X2 Mileage (mpg) y 3500 6 18 3200 20 4200 8 14 Part: 0/2 Part 1 of 2 (a) Use the data to create a model of the form y = ax,+bx,+c. Enter all numbers as simplified fractions or as integers. The model is y =-0.005x, - 0.25x, + 37 X2
Part 2 of 2 (b) Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 ib and has 3 cylinders. The predicted gas mileage is mpg. Round to the nearest mpg.
Transcribed Image Text:Part 2 of 2 (b) Use the model from part (a) to predict the gas mileage of a vehicle that is 3800 ib and has 3 cylinders. The predicted gas mileage is mpg. Round to the nearest mpg.
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