1 CarWeight (pounde)NXMiles per Gallon, y2590 2985 3360 3045418024.7 24.2 17.1 18.511.3no as uia yaOA The y-intercept indicates the mies per gailon of the lightest car in the population.OB. The y-intercept indicates the mies per gallon for a new car.O C. The yintercept indicates the mean miles for a car that weighs 0 pounds.OD. The y-intercept indicates the mean mies per gallon 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 O pounds.(c) Prodict the miles per gallon of car Dand 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 ismiles per galon.(Round to two decimal places as needed.)Is the value above or below average?O t is above average.O t is below average.(d) Draw the least-squares regression line on the scatter diagram of the data and label the residual. An engineer wants to detemmine how the weight of a car, x, affects gae mileage, y. The folowing data represent the weights of various cars and their mles per galonCarE O2590 2985 3380 3645 418018.5 11.3DWeight (pounds), xMiles per Gallon, y24.7 24.2 17.1(a) Find the least-squares regression ine treating weight as the explanatory variable and miles per galon as the response variable.Write the equation for the least-aquares regression line.(Round the x coeficient 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.OA. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weightB. The slope indicates the mean miles per gallon.O C. The slope indicates the ratio between the mean weight and the mean miles per gallon.OD. The slope indicates the mean weight.O E. It is not appropriate to interpret the slope because it is not equal to zero.Choose the best interpretation for the y-intercept.O A. The y-intercept indicates the miles per gallon of the lightest car in the population.OB. The y-intercept indicates the miles per gallon for a new car.nc The vinterrent intinatee the maan milee fnr a nar that wninhe n ninvfeStatorunch

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Car Weight (pounde Miles per Gallon, y 20 25330345A160 247 242 171 18.5 11S RA s y A The y-intercept indicates the miles per gailon of the lightest car in the population. B. The y-intercept indicates the miles per galon for a new car. E. The y-intercept indicates the mean miles for a car that weighs O pounds The y-intercept indicates the mean miles per gallon for a car that weighs 0 pounds -nis not appropriate to interpret the y-intercept because it does not make sense to ak abot a car that weighs 0 pounds adict the miles per galon of car D and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight? edicted value is miles per gallon. to two decimal places as needed.) kdual ismiles per galon. to two decimal places as needed.) we above or below average? above average. nelow average. e least-aquares regression line on the scatter diagram of the data and label the residual.

Car Weight (pounde Miles per Gallon, y 20 25330345A160 247 242 171 18.5 11S RA s y A The y-intercept indicates the miles per gailon of the lightest car in the population. B. The y-intercept indicates the miles per galon for a new car. E. The y-intercept indicates the mean miles for a car that weighs O pounds The y-intercept indicates the mean miles per gallon for a car that weighs 0 pounds -nis not appropriate to interpret the y-intercept because it does not make sense to ak abot a car that weighs 0 pounds adict the miles per galon of car D and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight? edicted value is miles per gallon. to two decimal places as needed.) kdual ismiles per galon. to two decimal places as needed.) we above or below average? above average. nelow average. e least-aquares regression line on the scatter diagram of the data and label the residual.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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