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
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
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Publisher:James Stewart, Lothar Redlin, Saleem Watson
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Question 31 parts A and B
Transcribed Image Text: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
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