I just need an explanation with the answers for numbers 18-20. Thanks List the r

Question

I just need an explanation with the answers for numbers 18-20. Thanks

List the regression equation used for the polynomial model. What type of polynomial is used for the regression model? How much of the variation in the polynomial model can be explained by the non-linear regression? Does the polynomial model fit the points better than the linear model? If yes, how much better? If no, how much worse? Define residual. Use the regression plot to estimate the residual when the horsepower is 215. What type of statistical test was used to test the significance of the equation? List the test statistic, p-value and the conclusion for the equation test. Summarize the results of the data collection on automobile characteristics, making specific references to the relationship between car prices and horsepower (at least one page). Break up your summary into two parts. In part 1 make specific references to the numbers in the outputs and explain what the numbers mean. In part 2 incorporate your thoughts about what may have influenced the relationship between the price of an automobile and its horsepower including cause-effect, extraneous variables, homogeneous grouping, measurement error and sampling.

Explanation / Answer

Q.18 Regression Equation here for the polynomial model is :

y = 21834 - 521 X + 557X2 - 0.018 X3

Q.19 Here 3rd degree of polynomial is used for the regresssion model.

Q.20 HEre as R-sq is 0.556 so 55.6% of the variation in the polynomial model is explained by non-linear regression.

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