Statistics for Business & Economics
12th Edition
ISBN: 9781285528830
Author: David R. Anderson
Publisher: Cengage Learning US
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Chapter 16.1, Problem 3E
a.
To determine
Decide whether there appears to be linear relationship between x and y.
b.
To determine
Construct the estimated regression equation that relates x and y.
c.
To determine
Plot the standardized residual versus the
Explain whether the model assumptions appear to be satisfied.
d.
To determine
Perform a logarithmic transformation on the variable y.
Construct the estimated regression equation using the transformed dependent variable.
Decide whether the model assumptions appear to be satisfied by using the transformed dependent variable.
Explain whether a reciprocal transformation works better in this case.
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3. Consider the following data for two variables, x and y.
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4
5
7
7
7
8
9.
y
4
4
6 4
6 9
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Does there appear to be a linear relationship between x and y? Explain.
b. Develop the estimated regression equation relating x and y.
Plot the standardized residuals versus ŷ for the estimated regression equation devel-
oped in part (b). Do the model assumptions appear to be satisfied? Explain.
d. Perform a logarithmic transformation on the dependent variable y. Develop an esti-
mated regression equation using the transformed dependent variable. Do the model
assumptions appear to be satisfied by using the transformed dependent variable?
Does a reciprocal transformation work better in this case? Explain.
а.
с.
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the
participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of
helmet safety standards. Snel| "SA" (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire
protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and
price for 18 SA helmets (SoloRacer website).
Helmet
Weight (oz)
Price ($)
Pyrotect Pro Airflow
64
241
Pyrotect Pro Airflow Graphics
64
276
RCi Full Face
64
202
RaceQuip RidgeLine
64
197
HJC AR-10
58
291
HJC Si-12
47
708
HJC HX-10
49
910
Impact Racing Super Sport
59
331
Zamp FSA-1
66
197
Zamp RZ-2
58
292
Zamp RZ-2…
Chapter 16 Solutions
Statistics for Business & Economics
Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Prob. 3ECh. 16.1 - A highway department is studying the relationship...Ch. 16.1 - In working further with the problem of exercise 4,...Ch. 16.1 - A study of emergency service facilities...Ch. 16.1 - In 2011, home prices and mortgage rates fell so...Ch. 16.1 - Corvette, Ferrari, and Jaguar produced a variety...Ch. 16.1 - Kiplingers Personal Finance Magazine rated 359...Ch. 16.2 - In a regression analysis involving 27...
Ch. 16.2 - In a regression analysis involving 30...Ch. 16.2 - The Ladies Professional Golfers Association (LPGA)...Ch. 16.2 - Refer to exercise 12. a. Develop an estimated...Ch. 16.2 - A 10-year study conducted by the American Heart...Ch. 16.2 - In baseball, an earned run is any run that the...Ch. 16.4 - A study provided data on variables that may be...Ch. 16.4 - The Ladies Professional Golfers Association (LPGA)...Ch. 16.4 - Jeff Sagarin has been providing sports ratings for...Ch. 16.4 - Prob. 19ECh. 16.5 - Consider a completely randomized design involving...Ch. 16.5 - Prob. 21ECh. 16.5 - Prob. 22ECh. 16.5 - The Jacobs Chemical Company wants to estimate the...Ch. 16.5 - Four different paints are advertised as having the...Ch. 16.5 - An automobile dealer conducted a test to determine...Ch. 16.5 - A mail-order catalog firm designed a factorial...Ch. 16.6 - The following data show the daily closing prices...Ch. 16.6 - Refer to the Cravens data set in Table 16.5. In...Ch. 16 - A sample containing years to maturity and yield...Ch. 16 - Consumer Reports tested 19 different brands and...Ch. 16 - A study investigated the relationship between...Ch. 16 - Refer to the data in exercise 31. Consider a model...Ch. 16 - Refer to the data in exercise 31. a. Develop an...Ch. 16 - Prob. 34SECh. 16 - Rating Wines from the Piedmont Region of Italy...
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