Response and Predictor Variables Using all of the Tour de Fran...

Question

Response and Predictor Variables Using all of the Tour de France bicycle race results up to a recent year, we get this multiple regression equation: Speed = 29.2-0.00260Distance + 0.540Stages + 0.0570Finishers, where Speed is the mean speed of the winner (km/h), Distance is the length of the race (km), Stages is the number of stages in the race, and Finishers is the number of bicyclists who finished the race. Identify the response and predictor variables.

Accepted Answer

Hello everyone. Let's take a look at this question together. A multiple regression model was developed to predict the fuel efficiency in MPG or MPG of cars based on three factors, which are engine size in liters, vehicle weight in kilograms, and horsepower. We get this multiple regression equation, which is MPG. is equal to 45.6 minus 3.12 multiplied by engine size minus 0.015, multiplied by weight, plus 0.032 multiplied by horsepower, where MPG is the fuel efficiency, engine size is the engine displacement, weight is the vehicle's weight, and horsepower is the engine's power output. And we have to identify the response and predictor variables. Is it answer choice A? The response variable is weight, and the predictor variables are MPG, engine size, and horsepower. Answer choice B, the response variable is MPG and the predictor variable is only engine size. Answer choice C, the response variable is MPG and The predictor variables are engine size, weight, and horsepower, or answer choice D, the response variable is engine size, and the predictor variables are MPG, weight, and horsepower. So in order to solve this question, we have to recall what we have learned about what a response variable is and what a predictor variable is to determine which of the following are the response. And predictor variables. Well, we can recall that we know the response variable is the variable being predicted, which looking at the equation that is provided, we know that the variable being predicted or the dependent variable is the MPG, which is the fuel efficiency that we are trying to find. Therefore, the equation is. MPG. So the response variable is MPG, and we also know that the predictor variables are the factors that are used to predict the response variable. And since the response variable is MPG, the factors that are used to predict MPG, we can identify are the engine size, the vehicle weight. And the horsepower. So the factors affecting MPG are engine size, vehicle weight, and horsepower, making those the predictor variables. And looking at our answer choices, we can identify that answer choice C is the correct answer, as Answer choice C says the response variable is MPG, and the predictor variables are engine size, weight, and horsepower. So answer choice C is the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

Key Concepts

Response Variable

Predictor Variables

Multiple Regression

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