7.4 Topic 4: Correlation and Regression 30. What does correlation do? Select the correct word to complete each sentence. (a) Correlation measures the strength of the relationship between two variables. (categorical/quantitative (b) Correlation measures strength (and/not) direction of the relationship. (linear/all) relationships. (increases/decreases/remains the same) when the units are converted (c) Correlation is appropriate for (d) Correlation from feet to inches. 31. A detailed study of the veined squid (Loligo forbesii) by Emam et al. showed several interesting linear relationships in body proportions. Consider the following related data sets. Data 1 Mantel Width: 2.5, 2.1, 2.6, 3, 3.5, 4, 4.4 Mantel Length: 0.4, 1.5, 3.7, 3.6, 4.3, 4.5, 4.9 Data 2 Mantel Width: 2.5, 2.1, 2.6, 3, 3.5, 4, 4.4 Fin Length: 2.3, 2.4, 3.2, 2.9, 3.8, 4.6, 4.3 (a) Find the correlation of each data set. (b) Is mantel length or fin length better for predicting mantel width? Explain. 32. Match the correlation with the plot in Figure 7.8. (a) -0.3796 (b) 0.3705 (d) -0.9564 (c) 0.9271 Figure 7.8: Matching Correlations Plot 2 Plot 1 10 2. 10 Plot 4 Plot 3 10 4. 8. -8 -2

て What is BD? B. 10 9. 13 8. D. O A. 10 O B. 12 C. 13 OD. 14 Re

This table shows how many students from two high schools attended a football game. Did not attend the game Attended the game Total Westville 60 90 150 North Beach 90 110 200 Total 150 200 350 A student is randomly selected. What is the probability that a student attended the game, given that the student is from North Beach? Round your answer to two decimal places.

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