Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)
5th Edition
ISBN: 9780135990278
Author: Bennett, Jeffrey O., Briggs, William L., Triola, Mario F.
Publisher: PEARSON
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Textbook Question
Chapter 7.1, Problem 8E
Does It Make Sense? For Exercises 5–8, determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these statements have definitive answers, so your explanation is more important than your chosen answer.
- 8.
Correlation Coefficient . The two variables I studied showed such a strong correlation that they had a correlation coefficient of r = 1.50.
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Give one real life example of a positive correlation, two examples of negative correlation, and thee examples of zero correlation.
Coefficient of correlation lies between:
a.
–1 and +1
b.
0 and –1
c.
-3 and +3
d.
0 and +1
Select statement below that is true about correlations.
A. Correlations are a measure of how much one variable changes as the other variable changes
B. A negative correlation implies no relationship between variables
C. Correlations can only be negative
D. Correlations are a measure used to determine the degree to which two variables are related.
Chapter 7 Solutions
Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)
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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- Solve for the following: Expressed final answers in 4-decimal places. Compute for the coefficient of correlation coefficient and interpret its meaning.arrow_forwardWhich of these correlations is the strongest?A. -0.71B. 0.08C. 0.62D. -0.12arrow_forwardJohn used the formula for calculating the linear correlation coefficient r and got the value 1.3284. Is he right or wrong? Explain with reasoning.arrow_forward
- E4-44arrow_forwardDr. Erie, a researcher at the Moore County Botany Institute, reported the following correlations. The correlation between pH level of soil and tomato weight is r₁ = -0.4. The correlation between hours of sunlight and tomato weight is r2 = 0.1. According to this information, which of the following statements are true? Select all that apply. Larger tomatoes result from more daily hours of sunlight. Larger tomatoes result from higher soil pH level. Tomato size is related more strongly to hours of sunlight than to soil pH level. None of these are true.arrow_forwardDr. Clark, a researcher at the Scott County Botany Institute, reported the following correlations. The correlation between pH level of soil and tomato weight is r₁ of sunlight and tomato weight is r₂ = 0.7. = 0.9. The correlation between hours According to this information, which of the following statements are true? Select all that apply. O Larger tomatoes result from more daily hours of sunlight. ✔ Larger tomatoes result from lower soil pH level. ✔Tomato size is related more strongly to soil pH level than to hours of sunlight. None of these are true.arrow_forward
- look at the picture and explain results in all six panels. think of examples from life that can give you such correlation coefficients. note: we are talking about pearson correlation.arrow_forwardApplying the Concepts and SkillsIn Exercises, we repeat data from exercises in Section 14.2. For each exercise here,a. obtain the linear correlation coefficient.b. interpret the value of r in terms of the linear relationship between the two variables in question.c. discuss the graphical interpretation of the value of r and verify that it is consistent with the graph you obtained in the corresponding exercise in Section 14.2.d. square r and compare the result with the value of the coefficient of determination you obtained in the corresponding exercise in Section 14.3.Crown-Rump Length. Following are the data on age and crown-rump length for fetuses from Exercises. x 10 10 13 13 18 19 19 23 25 28 y 66 66 108 106 161 166 177 228 235 280arrow_forwardApplying the Concepts and SkillsIn Exercises, we repeat data from exercises in Section 14.2. For each exercise here,a. obtain the linear correlation coefficient.b. interpret the value of r in terms of the linear relationship between the two variables in question.c. discuss the graphical interpretation of the value of r and verify that it is consistent with the graph you obtained in the corresponding exercise in Section 14.2.d. square r and compare the result with the value of the coefficient of determination you obtained in the corresponding exercise in Section 14.3.Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercises 14.61 and 14.101. x 57 85 57 65 52 67 62 80 77 53 68 y 8.0 22.0 10.5 22.5 12.0 11.5 7.5 13.0 16.5 21.0 12.0arrow_forward
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