7.4 Topic 4: Correlation and Regression30. What does correlation do? Select the correct word to complete each sentence.(a) Correlation measures the strength of the relationship between twovariables.(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) Correlationfrom feet to inches.31. A detailed study of the veined squid (Loligo forbesii) by Emam et al. showed several interestinglinear relationships in body proportions. Consider the following related data sets.Data 1 Mantel Width: 2.5, 2.1, 2.6, 3, 3.5, 4, 4.4Mantel Length: 0.4, 1.5, 3.7, 3.6, 4.3, 4.5, 4.9Data 2 Mantel Width: 2.5, 2.1, 2.6, 3, 3.5, 4, 4.4Fin 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) 0.9271Figure 7.8: Matching CorrelationsPlot 2Plot 1102.10Plot 4Plot 3104.8.-8-2

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Question 31 parts A and B

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Step 1

a).

The correlation between Mantel Width and Mantel length is as follows:

Step-by-step procedure to obtain the correlation using Excel is as follows:

• First enter the data set into Excel spread sheet.
• Go to data option in ribbon pan.
• Select data analysis.
• Click on Correlation and select the input range.
• Click Ok.
Step 2

Output obtained using Excel is represented as follows:

Thus, the correlation between Mantel Width and Mantel length is 0.8114.

Step 3

The correlation between Mantel Width and Fin length is as follows:

Step-by-step procedure to obtain the correlation using Excel is as follows:

• First enter the data set into Excel spread sheet.
• Go to data option in ribbon pan.
• Select data analysis.
• Click on Correlation and select the input range.
• Click ok.

Output obtained using Excel is as follows:

Fro...

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