Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 9, Problem 25E
Breakfast cereals again We saw a model in Exercise 24 for the calorie count of a breakfast cereal. Can we predict the calories of a serving from its vitamin and mineral content? Here’s a multiple regression model of Calories per serving on its Sodium (mg), Potassium (mg), and Sugars (g):
Dependent variable is: Calories
R-squared = 38.4% s = 15.60
Assuming that the conditions for multiple regression are met,
- a) What is the regression equation?
- b) To check the conditions, what plots of the data might you want to examine?
- c) Will adding Potassium to a breakfast cereal lower its Calories? Explain briefly.
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Breakfast cereals again We saw in Chapter 7 that thecalorie count of a breakfast cereal is linearly associatedwith its sugar content. Can we predict the calories of aserving from its vitamin and mineral content? Here’s amultiple regression model of Calories per serving on itsSodium (mg), Potassium (mg), and Sugars (g):Dependent variable is CaloriesR-squared = 38.4, R-squared (adjusted) = 35.9,s = 15.60 with 77 - 4 = 73 degrees of freedomSource
Sum ofSquares dfMeanSquare F-Ratio P-ValueRegression 11091.8 3 3697.28 15.2 60.0001Residual 17760.1 73 243.289Variable Coefficient SE(Coeff) t-Ratio P-ValueIntercept 83.0469 5.198 16.0 60.0001Sodium 0.05721 0.0215 2.67 0.0094Potass -0.01933 0.0251 -0.769 0.4441Sugars 2.38757 0.4066 5.87 60.0001Assuming that the conditions for multiple regressionare met,a) What is the regression equation?b) Do you think this model would do a reasonably goodjob at predicting calories? Explain.c) Would you consider removing any of these predictorvariables from the…
Acid rain Biologists studying the effects of acid rain on
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And here is part of the regression analysis:Dependent variable is: BCIR-squared = 27.1%s = 140.4 with 163 - 2 = 161 degrees of freedomVariable Coefficient SE(Coeff)Intercept 2733.37 187.9pH -197.694 25.57a) State the null and alternative hypotheses underinvestigation.
b) Assuming that the assumptions for regression infer-ence are reasonable, find the t- and P-values.
c) State your conclusion.
For the provided data, develop a regression model for overall satisfaction as a function of years of service and department that has the largest
R2.
Note that the categorical variable department has multiple levels and will require the use of multiple dummy variables. Which department, if any, has the highest impact on satisfaction?
Question content area bottom
Part 1
Determine the regression model for overall satisfaction as a function of years of service and department that has the largest
R2.
Let "Administrative" be the baseline department, let
X1
represent Maintenance, let
X2
represent Management, let
X3
represent Production, let
X4
represent Quality Control, and let
X5
represent Shipping / Receiving, coding each department variable with a 1 if the person is in that department and 0 otherwise. In addition, let
X6
represent Years. Enter the terms of the equation so that the
Xk-values
are in ascending numerical order by base. Select the correct choice below and…
Chapter 9 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 9.4 - Recall the regression example in Chapter 7 to...Ch. 9.4 - Prob. 2JCCh. 9.4 - Prob. 3JCCh. 9 - Housing prices The following regression model was...Ch. 9 - Candy sales A candy maker surveyed chocolate bars...Ch. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Movie profits once more Look back at the...
Ch. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - More indicators For each of these potential...Ch. 9 - Interpretations A regression performed to predict...Ch. 9 - Prob. 12ECh. 9 - Prob. 13ECh. 9 - Scottish hill races Hill runningraces up and down...Ch. 9 - Prob. 15ECh. 9 - Candy bars per serving: calories A student...Ch. 9 - Prob. 17ECh. 9 - More hill races Here is the regression for the...Ch. 9 - Prob. 19ECh. 9 - Home prices II Here are some diagnostic plots for...Ch. 9 - Admin performance The AFL-CIO has undertaken a...Ch. 9 - GPA and SATs A large section of Stat 101 was asked...Ch. 9 - Prob. 23ECh. 9 - Breakfast cereals We saw in Chapter 7 that the...Ch. 9 - Breakfast cereals again We saw a model in Exercise...Ch. 9 - Prob. 26ECh. 9 - Hand dexterity Researchers studied the dexterity...Ch. 9 - Candy bars with nuts The data on candy bars per...Ch. 9 - Scottish hill races, men and women The Scottish...Ch. 9 - Scottish hill races, men and women climbing The...
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