Pearson eText for Statistical Reasoning for Everyday Life -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137561544
Author: Jeffrey Bennett, William Briggs
Publisher: PEARSON+
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Chapter 7, Problem 10CQ
To determine
Explain whether the statement is true or false.
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2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model
below:
1
y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €.
See Question 2, Tutorial 3 for the meaning of the variables in the above model.
The following results are obtained:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.302e+03 4.320e+02 3.015 0.00307
x4
x6
x8
x4:x8
x6:x8
-1.442e+02
2.056e+01 -7.013 1.02e-10
6.340e-01 6.099e+00 0.104 0.91737
-9.455e-02 5.802e-02 -1.630
0.10550
2.882e-02 2.589e-03 11.132
1.673e-03 7.215e-04 2.319
F)
x4
1
3486722
3486722
17.9286 4.214e-05
x6
1
14595537
x8
x4:x8
x6:x8
1
132.4836 < 2.2e-16
1045693
194478
5.3769 0.02191
1 1198603043 1198603043 6163.1900 < 2.2e-16
1 25765100 25765100
1045693
Residuals 135 26254490
Estimated variance matrix
(Intercept)
x4
x6
x8
x4:x8
x6:x8
(Intercept)
x4
x6
x8
x4:x8
x6:x8
0.18875694
1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953
-5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013
-2.322825e+03…
In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF
where 1 > 0 is a parameter, and c is a constant.
(a) Find the expression of c in terms of 1.
(b) Find E(X).
(Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)
Suppose that X ~Bin(n,p). Show that
E[(1 - p)] = (1-p²)".
Chapter 7 Solutions
Pearson eText for Statistical Reasoning for Everyday Life -- Instant Access (Pearson+)
Ch. 7.1 - Correlation. What is a correlation? Give three...Ch. 7.1 - Scatterplot. What is a scatterplot, and how is one...Ch. 7.1 - Types of Correlation. Define and distinguish...Ch. 7.1 - Correlation Coefficient. What does the correlation...Ch. 7.1 - Does It Make Sense? For Exercises 58, determine...Ch. 7.1 - Does It Make Sense? For Exercises 58, determine...Ch. 7.1 - Does It Make Sense? For Exercises 58, determine...Ch. 7.1 - Does It Make Sense? For Exercises 58, determine...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...
Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Correlation. Exercises 916 list pairs of...Ch. 7.1 - Crickets and Temperature. One classic example of a...Ch. 7.1 - Two-Day Forecast. Figure 7.8 shows a scatterplot...Ch. 7.1 - Properties of the Correlation Coefficient. For...Ch. 7.1 - Properties of the Correlation Coefficient. For...Ch. 7.1 - Properties of the Correlation Coefficient. For...Ch. 7.1 - Properties of the Correlation Coefficient. For...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Prob. 26ECh. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Scatterplot and Correlation. In Exercises 2330,...Ch. 7.1 - Your Own Positive Correlations. Give examples of...Ch. 7.1 - Your Own Negative Correlations. Give examples of...Ch. 7.2 - Outliers. Briefly explain how an outlier can make...Ch. 7.2 - Grouped Data. Briefly explain how data that...Ch. 7.2 - Explanations for Correlation. What are the three...Ch. 7.2 - Prob. 4ECh. 7.2 - Does It Make Sense? For Exercises 58, determine...Ch. 7.2 - Does It Make Sense? For Exercises 58, determine...Ch. 7.2 - Does It Make Sense? For Exercises 58, determine...Ch. 7.2 - Does It Make Sense? For Exercises 58, determine...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Correlation and Causality. Exercises 916 present...Ch. 7.2 - Outlier Effects. Consider the scatterplot in...Ch. 7.2 - Outlier Effects. Consider the scatterplot in...Ch. 7.2 - Footprint and Height. The following table lists...Ch. 7.2 - January and July High Temperatures. The following...Ch. 7.2 - Birth and Death Rates. Figure 7.17 shows the birth...Ch. 7.2 - Penny Weight and Date. The scatterplot in Figure...Ch. 7.3 - Best-Fit Line. What is a best-fit line? How is a...Ch. 7.3 - Prob. 2ECh. 7.3 - Interpreting r2. What does the square of the...Ch. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Does It Make Sense? For Exercises 58, determine...Ch. 7.3 - Does It Make Sense? For Exercises 58, determine...Ch. 7.3 - Does It Make Sense? For Exercises 58, determine...Ch. 7.3 - Best-Fit Lines. Exercises 916 refer to tables in...Ch. 7.3 - Best-Fit Lines. Exercises 916 refer to tables in...Ch. 7.3 - Prob. 11ECh. 7.3 - Best-Fit Lines. Exercises 916 refer to tables in...Ch. 7.3 - Best-Fit Lines. Exercises 916 refer to tables in...Ch. 7.3 - Best-Fit Lines. Exercises 916 refer to tables in...Ch. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.4 - Correlation and Causality. What is the difference...Ch. 7.4 - Prob. 2ECh. 7.4 - Establishing Causality. Briefly state in your own...Ch. 7.4 - Confidence in Causality. Describe three levels of...Ch. 7.4 - Prob. 5ECh. 7.4 - Does It Make Sense? For Exercises 58, determine...Ch. 7.4 - Does It Make Sense? For Exercises 58, determine...Ch. 7.4 - Does It Make Sense? For Exercises 58, determine...Ch. 7.4 - Physical Models. For Exercises 912, determine...Ch. 7.4 - Physical Models. For Exercises 912, determine...Ch. 7.4 - Physical Models. For Exercises 912, determine...Ch. 7.4 - Physical Models. For Exercises 912, determine...Ch. 7.4 - Altitude and Health. When some people climb to...Ch. 7.4 - Smoking and Lung Cancer. There is a strong...Ch. 7.4 - Other Lung Cancer Causes. Several things besides...Ch. 7.4 - Longevity of Orchestra Conductors. A famous study...Ch. 7.4 - Older Moms. A study reported in Nature claims that...Ch. 7.4 - High-Voltage Power Lines. Suppose that people...Ch. 7.4 - Gun Control. Those who favor gun control often...Ch. 7.4 - Vasectomies and Prostate Cancer. The article Does...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - Pizza and the Subway. For Exercises 16, refer to...Ch. 7 - For 10 pairs of sample data values, the...Ch. 7 - In a study involving randomly selected subjects,...Ch. 7 - A researcher collects paired sample data values...Ch. 7 - Estimate the value of the linear correlation...Ch. 7 - Fill in the blanks: Every possible correlation...Ch. 7 - Which of the following are likely to have a...Ch. 7 - For a collection of 50 pairs of sample data...Ch. 7 - Estimate the correlation coefficient for the data...Ch. 7 - Refer again to the scatterplot in Figure 7.24....Ch. 7 - Fill in the blank: If r = 0.900, then _____ % of...Ch. 7 - In Exercises 710, determine whether the given...Ch. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - Prob. 10CQ
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