. Interpret your result from part (a) if the assumptions for regression inferences hold. Choose the correct interpretation below. A.Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the common population standard deviation,σ,of ages for all Corvettes of any particular price. B.Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the slope,β1,of the population regression equation for ages for all Corvettes of any particular price. C.Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the common population standard deviation,σ,of prices for all Corvettes of any particular age. D.Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the slope,β1,of the population regression equation for prices for all Corvettes of any particular age. Decide whether the assumptions for regression inference can reasonably be considered to be met. Choose the correct choice below. A.Taking into account the small sample size, the residual plot and normal probability plot do not show any violations of the assumptions for regression inference. B.While the residual plot shows the residuals falling in a roughly horizontal band about the x-axis, the normal probability plot is not linear. C.Both the residual plot and the normal probability plot show violations of the assumptions for regression inference. D.While the normal probability plot is linear, the residual plot shows nonconstant standard deviation for different values of the predictor variable. Following are age and price data for 10 randomly selected Corvettes between 1 and6 years old. Here, x denotes age, in years, and y denotes price, in hundreds ofdollars. For the accompanying sample data and the regression equationy=440.579 - 22.685x, complete parts (a) through (d) below.X6 6 6 2 3 3 3 6 1 6y 296 285 292 425 391 324 361 330 419 330Click the icon to view the table of normal scores.a. Compute the standard error of the estimate and interpret your answer.Se(Round to three decimal places as needed.)Interpret your result for se. Choose the correct interpretation below.O A. Approximately 95% of cars in the population have an actual price that differsfrom the predicted price by at most an amount equal to the standard error ofthe estimate, in hundreds of dollars.O B. Approximately 95% of cars in the sample have an actual price that differsfrom the predicted price by at most an amount equal to the standard error ofthe estimate, in hundreds of dollars. c. Obtain a residual plot and a normal probability plot of the residuals. Choose thecorrect residual plot below.O A.450--50--50ResidualrnResidualB.50--50-0XO C.Residual2400--200-0XD.450--50-0Residual24

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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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. Interpret your result from part (a) if the assumptions for regression inferences hold. Choose the correct interpretation below.

Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the common population standard deviation,

σ,

of ages for all Corvettes of any particular price.

Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the slope,

β1,

of the population regression equation for ages for all Corvettes of any particular price.

σ,

of prices for all Corvettes of any particular age.

Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the slope,

β1,

of the population regression equation for prices for all Corvettes of any particular age.

Decide whether the assumptions for regression inference can reasonably be considered to be met. Choose the correct choice below.

Taking into account the small sample size, the residual plot and normal probability plot do not show any violations of the assumptions for regression inference.

While the residual plot shows the residuals falling in a roughly horizontal band about the x-axis, the normal probability plot is not linear.

Both the residual plot and the normal probability plot show violations of the assumptions for regression inference.

While the normal probability plot is linear, the residual plot shows nonconstant standard deviation for different values of the predictor variable.