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 x, and x,. 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 (x, x2, y). 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 x, (in lb) and on the number of cylinders x. Weight (16) x Cylinders x, Mileage (mpg) y 3500 8 18 3300 6 26 4100 10 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 =

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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 x, and x,. 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 (x, x, y). 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 x, (in lb) and on the number of
cylinders x3.
Weight (1b) x,
Cylinders x,
Mileage (mpg) y
3500
8
18
3300
6
26
4100
10
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 =
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, x, ..., x, The model y = ax, + bx, +c is a linear model that predicts y based on two independent variables x, and x,. 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 (x, x, y). 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 x, (in lb) and on the number of cylinders x3. Weight (1b) x, Cylinders x, Mileage (mpg) y 3500 8 18 3300 6 26 4100 10 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 =
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