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21. Oscars Listed below are ages of Oscar winners matched by the years in which the awards were won (from Data Set 14 “Oscar Winner Age” in Appendix B). Is there sufficient evidence to conclude that there is a linear correlation between the ages of Best Actresses and Best Actors? Should we expect that there would be a correlation?
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Elementary Statistics (13th Edition)
- A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…arrow_forwardA study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…arrow_forwardKia assesses people's levels of gratitude and stress that occur naturally to determine if a relationship exists between the two variables. Kia is using a(n): a. quasi-experimental design b. experimental design c. descriptive design d. correlational designarrow_forward
- Statistical technique used to determine the degree to which two variables are related is known as a. Regression b. Correlation c. None of these d. Dispersionarrow_forwardUse the table below to answer the following questions: (a) Find the value of the linear correlation coefficient. (b) Assuming a 0.01 significance level, find the critical values. (c) Is there sufficient evidence to support the claim of a linear correlation? Explain your reasoningarrow_forwardGive an example of a correlation study, and identify the independent and dependent variables.arrow_forward
- Use table of critical values for correlation coefficient.arrow_forwardThanks!arrow_forwardThe correlation coefficient (r) measures O how many data points are shown on a scatterplot. O whether or not a scatterplot shows an interesting pattern. O whether a cause and effect relationship exists between two variables. O the strength and direction of the linear relationship between two quantitative variables.arrow_forward
- Cigarette Tar and Nicotine The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands (from Data Set 13 “Cigarette Contents” in Appendix B). a. Is there is sufficient evidence to support a claim of a linear correlation between tar and nicotine? b. What percentage of the variation in nicotine can be explained by the linear correlation between nicotine and tar? c. Letting y represent the amount of nicotine and letting x represent the amount of tar, identify the regression equation. d. The Raleigh brand king size cigarette is not included in the table, and it has 23 mg of tar. What is the best predicted amount of nicotine? How does the predicted amount compare to the actual amount of 1.3 mg of nicotine?arrow_forwarddata set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α=0.05. Click here to view a table of critical values for the correlation coefficient. LOADING... Correlation matrix: Variables Paper Glass Paper 1 0.4325 Glass 0.4325 1 Determine the null and alternative hypotheses. Identify the test statistic, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A.There are two critical values at r=± ______ B.There is one critical value at r= _____ State the conclusion. Because the absolute value of the test statistic is ▼ greater than or…arrow_forwardA researcher is conducting a study to examine the relationship between age and agility. She recruited a sample of 50 participants, ranging in age from 20 – 65 years old, and asked them to perform a series of agility tests. Afterward, participants were given an average agility score, which was then used in a correlation analysis against participant age. The results of the study are as follows [r(50) = -0.97, p < 0.001]. Identify the correct interpretation below. A. There is a non-significant, weak, negative correlation between age and agility, suggest that as age increases, agility decreases B. There is a statistically significant, strong, negative correlation between age and agility, suggesting that as age increases, agility decreases C. There is a non-significant, moderate, positive correlation between age and agility, suggesting that there is no relationship between these two variables D. There is a statistically significant, strong positive correlation between age and…arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill