An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.CarWeight (pounds), XMiles per Gallon, yA2625 2935 3260 3860 413027.6 26.6BDQue(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.2120.218.8Write the equation for the least-squares regression line.(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)(b) Interpret the slope and intercept, if appropriate.Choose the best interpretation for the slope.O A. The slope indicates the mean miles per gallon.O B. The slope indicates the mean weight.O C. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight.O D. The slope indicates the ratio between the mean weight and the mean miles per gallon.O E. It is not appropriate to interpret the slope because it is not equal to zero.Click to select your answer(s)O Type here to search7:34 PM3/12/2021Panasonic C-54TOUGHBOO1SAGCDSS-4852F11F12PrtScScrollLockF6F7F8F10NumLockF1F2F3F4F5Esc&Backspas%D67 08 89 9MAXA/C1 A12 A2WETYU415TabH.田23%24%#3Co An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.CarAWeight (pounds), xMiles per Gallon, yC2625 2935 3260 3860 4130E27.6 26.621Choose the best interpretation for the y-intercept.20.2 18.8O A. The y-intercept indicates the mean miles per gallon for a car that weighs 0 pounds.O B. The y-intercept indicates the miles per gallon of the lightest car in the population.O C. The y-intercept indicates the miles per gallon for a new car.O D. The y-intercept indicates the mean miles for a car that weighs 0 pounds.O E. It is not appropriate to interpret the y-intercept because it does not make sense to talk about a car that weighs 0 pounds.(c) Predict the miles per gallon of car C and compute the residual, Is the miles per gallon of this car above average or below average for cars of this weight?The predicted value ismiles per gallon.(Round to two decimal places as needed.)The residual is miles per gallon.(Round to two decimal places as needed.)le the valua ahove or halnu avorana?Click to select your answer(s).O Type here to searchPanasonicCF-54OFF9OG DCDSS 4852TOMO T04Prt SSysF8F10F11F12NumLockF1F2F3F4F5F6F7Esc&244.!%237 08 899AXA/CA12 42U4T15

Answered: Image /qna-images/answer/85e81371-2596-4c63-8946-c929e5c8958d.jpg

An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon. Car B 2625 2935 3260 3860 4130 27.6 26.6 21 D Weight (pounds), X Miles per Gallon, y 20.2 18.8 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the least-squares regression line. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. O A. The slope indicates the mean miles per gallon. O B. The slope indicates the mean weight O C. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight. O D. The slope indicates the ratio between the mean weight and the mean miles per gallon O E. It is not appropriate to interpret the slope because it is not equal to zero. Click to select your answer(s)

An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon. Car B 2625 2935 3260 3860 4130 27.6 26.6 21 D Weight (pounds), X Miles per Gallon, y 20.2 18.8 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the least-squares regression line. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. O A. The slope indicates the mean miles per gallon. O B. The slope indicates the mean weight O C. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight. O D. The slope indicates the ratio between the mean weight and the mean miles per gallon O E. It is not appropriate to interpret the slope because it is not equal to zero. Click to select your answer(s)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.
Car
Weight (pounds), X
Miles per Gallon, y
A
2625 2935 3260 3860 4130
27.6 26.6
B
D
Que
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
21
20.2
18.8
Write the equation for the least-squares regression line.
(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)
(b) Interpret the slope and intercept, if appropriate.
Choose the best interpretation for the slope.
O A. The slope indicates the mean miles per gallon.
O B. The slope indicates the mean weight.
O C. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight.
O D. The slope indicates the ratio between the mean weight and the mean miles per gallon.
O E. It is not appropriate to interpret the slope because it is not equal to zero.
Click to select your answer(s)
O Type here to search
7:34 PM
3/12/2021
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