Math 1530-017 Exam 1 With Answer Key - 2009 Page 8
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1130. Which of the following phrases best describes the association between horsepower and MPG?
(a) Strong and positive.
(b) Strong and negative.
(c) Negative and no association.
(d) Little or no association.
(e) Weak and positive.
31. Listed below are some “facts” about least-squares regression. However, one of these facts is not
correct. Which fact is FALSE?
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(a) The square of the correlation, r
(often written as R
) is the fraction of the variation in the
values of y that is explained by the regression or y on x.
(b) The regression line always passes through the point (x, y).
(c) The distinction between explanatory and response variable is essential when computing the
parameters for a regression model.
(d) The regression line will always pass through every point shown in a scatterplot.
(e) Along the regression line, a change of one standard deviation in x corresponds to a change of r
standard deviations in y.
Use the following information and scatterplot to answer the next two questions.
32. Wild bears in a sample of size n = 143 were anesthetized, and their bodies were measured and
weighed. One goal of the study was to make tables for hunters, so they could estimate the weight
of a bear based on other measurements. This scatterplot shows the fitted least-squares regression
line that models the linear association between weight (lbs.) and neck girth (in.). Notice that the
equation of least-squares regression that models the data is given with the graph. Which is the
proper interpretation of the slope in that equation? For the sampled bears (see next page)
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