Assignment Solution: Analyzing the Relationship Between Height and Foot Length: Correlation, Regression, and Prediction
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A statistical assignment applying correlation and regression analysis to height and foot length relationships.
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Assignment Solution Assignment Objectives: Construct a scatter plot for two variables; compute a correlation coefficient, and a regression equation. Use the regression equation to predict a value of the dependent variable. Purpose: In this week's assignment, we will use our height/length of foot data from week 2 to calculate and interpret the correlation coefficient. We also find a regression equation and use it to predict length of foot based on height. Assignment Description: This week we will use the data collected in week one for height and length of foot. We will determine whether there is a significant relationship between the two variables. 1. Create a scatter plot for height and length of foot. We will assume here that height influences length of foot so height will be the independent variable. Does it appear from the plot that there is a relationship between the two variables? What type of relationship would that be? The scatter plot for the height and length of foot is given as below: From this scatter plot, it is observed that there is strong positive linear relationship exists between the given two variables height and length of foot. This is a positive linear relationship. 2. Using excel, calculate the correlation coefficient, r , for the two variables. How would you interpret this measure? 0 1 2 3 4 5 6 7 8 9 10 0 10 20 30 40 50 60 70 80 90 Foot size (Inch) Foot size (Inch)
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