2.         Complete the following in regard to the footlength and height categories of the data set:                                                                                                      a.   In the region to...

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Statistics

2.         Completethe following in regard to the footlength and height categories ofthe dataset:                                                                                                     

a.   In the region to the right, produce ascatterplot of the height versus footlength data (remember thismeans footlength runs along the horizontal axis as the independentvariable and height along the vertical axis as the dependentvariable.)  Based upon your scatterplot, briefly discussbelow your thoughts on whether the “visual” trend between theindividuals’ footlength and height appears linear, curvilinear, orhas no general trend atall.                                                                                      

b.  Complete thefollowing:                                                                                      

      i.           Includethe trend line's graph and equation on the scatterplot created inpart a.  Give the line's equation below and explainwithin this context what the \"x\" and \"y\" variables represent in theequation.                                                                                

ii.         Below,explicitly state the slope of your trend line and discuss what thevalue of the slope signifies in terms of this context.  

c.          Determinethe value of the correlation coefficient (r) for this paireddata.  Explain what this value tells you regarding thesetwo variables.  Determine the value of the coefficient ofdetermination (r^2) for this paired data.  Explain whatthis value tells you regarding these twovariables.                                                                    

d.         Usingthe predicition equation from part bi. above, predict the height ofan individual whose footlength is 24.5cm.                                                                   

e.         Finally,critique the statement “since the correlation coefficient isstatistically significant then this means that having a long footcauses one to be tall.”  Specifically, address the issueof “causation” in relation to significant statisticalcorrelation.

Foot LengthHeight
24.5162.5
25.5175.5
23160
25.5175
24158
25163
31186
24.5165
21155
23165
25.5172
27168
27175.5
22.5158
27188.5
24.5162.5
31183
26162.5
29180.5
24171
28180.5
26180.5
26.5176
24175
27173
25.5165.5
24160
24161.5
25174
24.5165
27.5178
20164
20.5153
24183
21.5162.5
32178
25178
25168.5
23.5162.5
27.5185.5
27.5176.5
27188
23167
23155
22.5160.5
27173
28177.5
28180
26.5178
25171.5
24168
23164.5
25170.5
23168
22160.5
23.5165
21157
24161.5
23.5157.5
28173

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3.6 Ratings (468 Votes)
aFrom scatter plot we observe that as Foot length increases thenheight also increases hence there exists positive    See Answer
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