Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
7th Edition
ISBN: 9781337298353
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: South-Western College Pub
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Textbook Question
Chapter 15.7, Problem 33E
Consider a regression study involving a dependent variable y, a quantitative independent variable
- How many dummy variables are required to represent the categorical variable?
- Write a multiple regression equation relating and the categorical variable to y.
- Interpret the parameters in your regression equation.
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Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical independent variable with three possible levels (level 1, level 2, and level 3).
How many dummy variables are required to represent the categorical variable?
Write a multiple regression equation relating and the categorical variable to y.
Interpret the parameters in your regression equation.
Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical independent variable with three possible levels (level 1, level 2, and level 3).
(i) How many dummy variables are required to represent the categorical variable?
(ii) Write a multiple regression equation relating x1, and the categorical variable to y.
PLEASE SHOW ALL HAND WRITTEN STEPS AND DO NOT USE EXCEL OR ANY SOFTWARE
In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 is also rejected. This statement is ___________ true.
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Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardGiven the equation of a regression line is y = -5.5x - 9.4, what is the best predicted value for y given x = -3.1? Assume that the variables x and y have a significant correlation.arrow_forwardA researcher is interested in comparing the effectiveness of three popular diets for weightloss: The Paleo diet, Keto, and the Atkins diet. She randomly assigns participants to follow one of the three diet trends for 6 months, and then compares the amount of weight lost in each group. What is the most appropriate test statistic to use to test the hypothesis in scenario 5? Group of answer choices A)Regression Analysis B)One sample Z-Test C)Correlation Coefficient D)P-test E)Independent samples t-Test F)Z-score E)Dependent samples t-Test F)One-way ANOVAarrow_forward
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