(a) Correlation measures the strength of the relationship between two variables. (categorical/quantitative (b) Correlation measures strength (and/not) direction of the relationship. (c) Correlation is appropriate for (linear/all) relationships. (d) Correlation from feet to inches (increases/decreases/remains the same) when the units are converted

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Chapter4: Equations Of Linear Functions
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Q30, ABCD
06
-4 Topic 4: Correlation and Regression
30. What does correlation do? Select the correct word to complete each sentence.
(categorical/quantitative)
(a) Correlation measures the strength of the relationship between two
variables.
(and/not) direction of the relationship.
(b) Correlation measures strength
(c) Correlation is appropriate for
_(linear/all) relationships.
(d) Correlation
from feet to inches.
(increases/decreases/remains the same) when the units are converted
1. 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.
Match the correlation with the plot in Figure 7.8.
(h) 0 2705
(c) 0 9271
(d) -0 9564
Transcribed Image Text:06 -4 Topic 4: Correlation and Regression 30. What does correlation do? Select the correct word to complete each sentence. (categorical/quantitative) (a) Correlation measures the strength of the relationship between two variables. (and/not) direction of the relationship. (b) Correlation measures strength (c) Correlation is appropriate for _(linear/all) relationships. (d) Correlation from feet to inches. (increases/decreases/remains the same) when the units are converted 1. 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. Match the correlation with the plot in Figure 7.8. (h) 0 2705 (c) 0 9271 (d) -0 9564
Expert Solution
Answer

a)

Correlation measures the strength of the relationship between two quantitative variables.

 

b)
Correlation measures the strength and direction of the relationship.

 

 

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