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
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
Medical records indicate that people with more education tend to live longer; the correlation is 0.82. The slope of the linear model that predicts lifespan from years of education suggests that on average people, tend to live 1.3 extra years for each additional year of education they have. The slope of the line that would predict lifespan from years of education is
a. 130
b. 1.3
c. 82
d. 0.82
Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.
Assuming a linear relationship, use the least- squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.
Interpret the meaning of the slope in this equation.
Predict the mean height for a tree that has a breast height diameter of 25 inches.
Height
Diameter at breast height
Bark thickness
122.0
20
1.1
193.5
36
2.8
166.5
18
2.0
82.0
10
1.2
133.5
21
2.0
156.0
29
1.4…
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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