Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Concept explainers
Question
Chapter 8, Problem 44E
a.
To determine
Explain whether the linear model is appropriate for the post-1980 data.
b.
To determine
Interpret the meaning of slope in the equation about marriage ages.
c.
To determine
Explain the reason of not interpret the y-intercept.
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A researcher interested in explaining the level of foreign reserves for the country of Barbados estimated the following multiple regression model using yearly data spanning the period 2001 to 2016:
??=?+????+????+???I
Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports ($000’s) and FDI = annual foreign direct investment ($000’s). The sample of data was processed using MINITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
t-ratio
p-value
Constant
5491.38
2508.81
2.1888
0.0491
Oil
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
*
0.0057
FDI
-396.99
160.66
-2.471
**
S = 2.45 R – sq = 96.3% R – sq (adj) = 95.3%
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
3
1991.31
663.77
?
??
Error
12
77.4
6.45
Total
15
e) Perform the F Test making sure to state…
We wish to determine if there is a correlation between the birth weight (in grams) of nine newborn infants and the length of their mothers’ stay (in days) in the hospital. The results of a correlation and regression analysis are indicated in the Excel output below. The mean birth weight of the newborn infants (the independent variable) was 3162.5 grams, and the mean length of their mothers’ stay in the hospital (the dependent variable) was 7 days.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.862675
R Square
0.744208
Adjusted R Square
0.707666
Standard Error
6.02142
Observations
9
ANOVA
df
SS
MS
F
Significance F
Regression
1
738.4198
738.4198
20.36599
0.002756
Residual
7
253.8025
36.25749
Total
8
992.2222…
Chapter 8 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 8.3 - Each of these scatterplots shows an unusual point....Ch. 8.3 - Prob. 2JCCh. 8.3 - Prob. 3JCCh. 8.7 - Prob. 4JCCh. 8.7 - Prob. 5JCCh. 8.7 - Prob. 6JCCh. 8 - Credit card spending An analysis of spending by a...Ch. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - Prob. 4E
Ch. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - Prob. 10ECh. 8 - Skinned knees There is a strong correlation...Ch. 8 - Prob. 12ECh. 8 - Prob. 13ECh. 8 - Average GPA An athletic director proudly states...Ch. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - BK protein Recall the data about the Burger King...Ch. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Prob. 20ECh. 8 - Prob. 21ECh. 8 - Prob. 22ECh. 8 - Prob. 23ECh. 8 - Prob. 24ECh. 8 - Good model? In justifying his choice of a model, a...Ch. 8 - Prob. 26ECh. 8 - Movie dramas Heres a scatterplot of the production...Ch. 8 - Prob. 28ECh. 8 - Oakland passengers 2016 The scatterplot below...Ch. 8 - Prob. 30ECh. 8 - Unusual points Each of these four scatterplots...Ch. 8 - More unusual points Each of the following...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Whats the effect? A researcher studying violent...Ch. 8 - Reading To measure progress in reading ability,...Ch. 8 - Prob. 38ECh. 8 - Heating After keeping track of his heating...Ch. 8 - Speed How does the speed at which you drive affect...Ch. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - TBill rates 2016 revisited In Exercise 41, you...Ch. 8 - Prob. 44ECh. 8 - Prob. 45ECh. 8 - Prob. 46ECh. 8 - Elephants and hippos We removed humans from the...Ch. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Inflation 2016 The Consumer Price Index (CPI)...Ch. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - Prob. 60ECh. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - Boyle Scientist Robert Boyle examined the...Ch. 8 - Brakes The following table shows stopping...Ch. 8 - Pendulum A student experimenting with a pendulum...Ch. 8 - Planets Here is a table of the 9 sun-orbiting...Ch. 8 - Is Pluto a planet? Lets look again at the pattern...Ch. 8 - Planets and asteroids The asteroid belt between...Ch. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - Logs (not logarithms) The value of a log is based...Ch. 8 - Prob. 74ECh. 8 - Life expectancy history The table gives the Life...Ch. 8 - Prob. 76ECh. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80E
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forward
- What is regression analysis? Describe the process of performing regression analysis on a graphing utility.arrow_forwardThe U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?arrow_forwardLife Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forward
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