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Assignment Solution: Analyzing the Relationship Between Height and Foot Length: Correlation, Regression, and Prediction

A statistical assignment applying correlation and regression analysis to height and foot length relationships.

Benjamin Clark
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Assignment SolutionAssignment Objectives:Construct a scatter plot for two variables; compute a correlationcoefficient, and a regression equation.Use the regression equation to predict a value of thedependent variable.Purpose:In this week'sassignment, we will use our height/length of foot data from week 2 tocalculate and interpret the correlation coefficient.We also find a regression equation and useit to predict length of foot based on height.Assignment Description:This week we will use the data collected in week one for height andlength of foot.We will determine whether there is a significant relationship between the twovariables.1.Create a scatter plot for height and length of foot.We will assume here that heightinfluences length of foot so height will be the independent variable.Does it appearfrom the plotthat there is a relationship between the two variables?What type ofrelationship 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 relationshipexists between the given two variables height and length of foot. This is a positivelinear relationship.2.Using excel, calculate the correlation coefficient,r, for the two variables.How wouldyou interpret this measure?0123456789100102030405060708090Foot size (Inch)Foot size (Inch)

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