A study was conducted on automobile engines to examine the relationship between engine speed measured in revolutions
Question:
A study was conducted on automobile engines to examine the relationship between engine speed measured in revolutions per minute (RPM) and engine torque with the goal of predicting engine torque.
a. Fit a quadratic regression model and state the quadratic regression equation. (Round the X1i coefficient to four decimal places as needed. Round the X1i2 coefficient to six decimal places as needed. Round all other values to one decimal place as needed.)
b. Predict the mean torque for an RPM of 5,000. (Round to two decimal places as needed.)
c. Analyze the residual plots and determine whether the regression model is valid.
d. At the 0.05 level of significance, is there a significant quadratic relationship between torque and RPM? Determine the p-value. (Round to three decimal places as needed.)
e. State the conclusion of the test. Using the following keywords {less than, higher than, reject, do not reject, accept, is, is not}, fill in the blanks and complete the below argument in the most correct way. You don’t need to use all the keywords.
“Since the p-value is ________, the level of significance, _________ H0. There _______a significant quadratic relationship between torque and RPM.
Statistics For Managers Using Microsoft Excel
ISBN: 9780134173054
8th Edition
Authors: David M. Levine, David F. Stephan, Kathryn A. Szabat