12 Many statistics courses cover a topic called multiple regression. This provides a means to predict the value of a dependent variabley based on two or more independent variables X1. X2. .- X. The model y = ax, +bx,+c is a linear model that predicts y basedon two independent variables x1 and x3. While statistical techniques may be used to find the values of a, b, and c based on a largenumber of data points, we can form a crude model given three data values (X1, X2. ). Use the information given to form a systemof 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 ofcylinders x2.Weight (1b) x1Cylinders X2Mileage (mpg) y350061832004204200814Part: 0/2Part 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=

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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 x3. 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 18 3200 4 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 =