Question

Write the simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable. How might the car rental company use this model

Answer 1

The simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable is

M = $\beta$0 + $\beta$1W + ε

The car rental company can use this model to determine the effect of weight (of the car) on miles per gallon.

Given: To write a simple linear regression equation with Miles per gallon as the response variable and weight as the predictor variable.

What is simple linear regression?

Simple linear regression is used to estimate the relationship between two quantitative variables.

Let's say "Miles per gallon" is represented as M and

"Weight" be represented as W

The simple linear regression equation is :

M = $\beta$0 + $\beta$1W + ε

where,

• M is Miles per gallon, the response variable also known as the dependent variable shows a predicted value for any given value of the independent variable W.
• $\beta$0 is the intercept, the predicted value of M when W is 0
• $\beta$1 is the regression coefficient -  how much we expect M to change as W increases.
• W is the predictor variable also known as the independent variable ( the variable that is influencing M )
• ε is the error of the estimate, or how much variation there is in our estimate of the regression coefficient.

How might the car rental company use this model?

The car rental company might use the regression model to determine the

• Effect of weight (of car) on miles run per gallon

Know more about "simple linear regression" here: brainly.com/question/14313391

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