Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter R, Problem 2.31RE
a.
To determine
Find the percent of variation in January temperature can be explained by variation in Latitude.
b.
To determine
Explain the indication of the fact that the correlation is negative.
c.
To determine
Obtain the equation of the line of regression for predicting average January temperature from latitude.
d.
To determine
Explain the meaning of slope.
e.
To determine
Explain whether the meaning of y-intercept is meaningful.
f.
To determine
Predict the mean January temperature for the latitude of Denver of
g.
To determine
Explain the meaning if the residual for the city is positive.
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Students have asked these similar questions
Winter in the city Summary statistics for the data relat-ing the latitude and average January temperature for 55
large U.S. cities are given below.
a) What percent of the variation in January Temperaturescan be explained by variation in Latitude?b) What is indicated by the fact that the correlation isnegative?
c) Write the equation of the line of regression for predict-ing January Temperature from Latitude.
d) Explain what the slope of the line means.e) Do you think the y-intercept is meaningful? Explain.f) The latitude of Denver is 40° N. Predict the meanJanuary temperature there.g) What does it mean if the residual for a city is positive?
Variable Mean StdDevLatitude 39.02 5.42JanTemp 26.44 13.49Correlation = -0.848
Roller coaster The Mitch Hawker poll ranked the Top 10
steel roller coasters in 2011. A table in the previous chap-ter’s exercises shows the length of the initial drop (in feet)
and the duration of the ride (in seconds). A regression topredict Duration from Drop has R2 = 15.2,.a) What are the variables and units in this regression?b) What units does the slope have?c) Do you think the slope is positive or negative? Explain.
Using data from the U.S. Census Bureau, we will analyze the relationship
between living below the poverty line and access to health care for a
selected sample of 14 states. Use the percentage of the population
without health insurance as the dependent variable to calculate the slope
and provide an interpretation of the slope. Do include the value of the
slope in your answer.
State
% uninsured
% below poverty line
Arkansas
9.6
16.2
California
8.3
11.8
Florida
16.1
12.7
Indiana
9.7
11.9
Kentucky
6.7
16.3
8.7
9.2
New Jersey
11.5
18.2
New Mexico
6.3
13.0
New York
8.1
10.6
North Dakota
12.0
6.7
Pennsylvania
10.8
4.8
Rhode Island
13.6
19.9
Texas
9.8
7.5
Washington
10.4
6.5
Wisconsin
Soece AmercanCommunt ivex 2019
Chapter R Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
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