on... (a) Select the scatterplot that shows the strongest linear correlation. ents O Q (b) Matching. Select the error in the conclusion that follows each given scenario. (Each error at the bottom of this problem corresponds to one and only one of the conclusions. Select a, b, c, or d from the drop down menus in front of the given scenarios and conclusions to match them to the errors.) Given Scenarios and Conclusions - Given: Each school in a state reports the average SAT score of its students. There is a significant linear correlation between the average SAT score of a school and the average annual income in the district in which the school is located. Conclusion: There is a significant linear correlation between the individual SAT scores and family income. - Given: The linear correlation coefficient between scores on a math test and scores on a test of athletic ability is negative and close to zero. Conclusion: People who score high on the math test tend to score lower on the test of athletic ability. - Given: There is no significant linear correlation between scores on the math test and scores on the verbal test. Conclusion: There is no relationship between the scores on the math test and the scores on the verbal test. - Given: There is significant linear correlation between the number of homicides in a town and the number of movie theaters in a town. Conclusion: Building more movie theaters will cause the homicide rate to rise. Errors a. Error: A lack of significant linear correlation does not imply that no relationship at all exists between the two variables. b. Error: Averages suppress individual variation and tend to inflate the value of the linear correlation coefficient. c. Error: Significant correlation does not imply causality. d. Error: The linear correlation coefficient is probably not significant, so no conclusion can be in between the two variables