Student's Solutions Manual For Statistics For Business And Economics
13th Edition
ISBN: 9780134513034
Author: Boudreau, Nancy
Publisher: PEARSON
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Textbook Question
Chapter 12.3, Problem 12.2LM
Minitab was used to fit the model E(y) = (β0 + β1x1 + β2x2 to n = 20 data points, and the printout shown below was obtained.
a. What are the sample estimates of βo, β1. and β2?
b. What is the least squares prediction equation?
c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.
d. Test H0: β1 = 0 against H0: β1 ≠ 0 Use α = .05.
e. Use a 95% confidence
f. Find R2 and
g. Find the test statistic for testing H0: β1 = β2 = 0.
h. Find the observed significance level of the test, part g. Interpret the result.
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Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ? is the age of the crab in months and ?̂ is the predicted value of ?, the size of the male crab in cm.
?̂=8.2052+0.5693?
What is the value of ?̂ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal place
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ? is the age of the crab in months and ?ˆ is the predicted value of ?, the size of the male crab in cm.
?ˆ=8.1312+0.5226?
What is the value of ?ˆ when a male crab is 23.0736 months old? Provide your answer with precision to two decimal places.
?ˆ =
Interpret the value of ?. The value of ?ˆis
the predicted size of a crab when it is 23.0736 months old.
the predicted incremental increase in size for every increase in age by 23.0736 months.
the predicted number of crabs out of the 1,000 crabs collected that will be 23.0736 months old.
the probability that a crab will be 23.0736 months old.
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. The least-squares regression equation for these data is Yi=−1.068+1.394Xi and the standard error of the estimate is SYX=19.412. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Significance level at 0.05 . Complete parts (a) and (b) below.
Chapter 12 Solutions
Student's Solutions Manual For Statistics For Business And Economics
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