Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 5.3, Problem 44E
The residuals from the least-squares line for the data given in the previous exercise are shown in the accompanying table.
- a. The observation (3928, 46.8) has a large residual. Is this data point also an influential observation?
- b. The two points with unusually large x values (19,504 and 20,440) were not thought to be influential observations even though they are far removed in the x direction from the rest of the points in the
scatterplot . Explain why these two points are not influential. - c. Partial Minitab output resulting from fitting the least-squares line is shown here. What is the value of se? Write a sentence interpreting this value.
The regression equation is
- d. What is the value of r2 for this data set (see Minitab output in Part (c))? Is the value of r2 large or small? Write a sentence interpreting the value of r2.
5.43 ● The relationship between x = Total number of salmon in a creek and y = Percentage of salmon killed by bears that were transported away from the stream prior to the bear eating the salmon was examined in the paper “Transportation of Pacific Salmon Carcasses from Streams to Riparian Forests by Bears” (Canadian Journal of Zoology [2009]: 195–203).
Data for the 10 years from 1999 to 2008 is given in the accompanying table.
- a. Construct a scatterplot of the data.
- b. Does there appear to be a relationship between the total number of salmon in the stream and the percentage of salmon killed by bears that are transported away from the stream?
- c. Find the equation of the least-squares line. Draw the least-squares line on the scatterplot from Part (a).
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Chapter 5 Solutions
Introduction To Statistics And Data Analysis
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