Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 9.4, Problem 1P
Statistical Literacy Given the linear regression equation
- (a) Which variable is the response variable? Which variables are the explanatory variables?
- (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.
- (c) If x2 = 2, x3 = 1, and x4 = 5, what is the predicted value for x1?
- (d) Explain how each coefficient can be thought of as a “slope” under certain conditions. Suppose x3 and x4 were held at fixed but arbitrary values and x2 was increased by 1 unit. What would be the corresponding change in x1? Suppose x2 increased by 2 units. What would be the expected change in x1? Suppose x2 decreased by 4 units. What would be the expected change in x1?
- (e) Suppose that n = 12 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.419. Construct a 90% confidence interval for the coefficient of x2.
- (f) Using the information of part (e) and level of significance 5%, test the claim that the coefficient of x2 is different from zero. Explain how the conclusion of this test would affect the regression equation.
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Chapter 9 Solutions
Understandable Statistics: Concepts and Methods
Ch. 9.1 - Statistical Literacy When drawing a scatter...Ch. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Critical Thinking: Lurking Variables Over the past...
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