2.         Completethe following in regard to the footlength and height categories ofthe dataset:                                                                                                    Â
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.                                                                                     Â
b.  Complete thefollowing:                                                                                     Â
      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.                                                                               Â
ii.         Below,explicitly state the slope of your trend line and discuss what thevalue of the slope signifies in terms of this context. Â
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.                                                                   Â
d.         Usingthe predicition equation from part bi. above, predict the height ofan individual whose footlength is 24.5cm.                                                                  Â
e.         Finally,critique the statement “since the correlation coefficient isstatistically significant then this means that having a long footcauses one to be tall.â€Â  Specifically, address the issueof “causation†in relation to significant statisticalcorrelation.
Foot Length | Height |
24.5 | 162.5 |
25.5 | 175.5 |
23 | 160 |
25.5 | 175 |
24 | 158 |
25 | 163 |
31 | 186 |
24.5 | 165 |
21 | 155 |
23 | 165 |
25.5 | 172 |
27 | 168 |
27 | 175.5 |
22.5 | 158 |
27 | 188.5 |
24.5 | 162.5 |
31 | 183 |
26 | 162.5 |
29 | 180.5 |
24 | 171 |
28 | 180.5 |
26 | 180.5 |
26.5 | 176 |
24 | 175 |
27 | 173 |
25.5 | 165.5 |
24 | 160 |
24 | 161.5 |
25 | 174 |
24.5 | 165 |
27.5 | 178 |
20 | 164 |
20.5 | 153 |
24 | 183 |
21.5 | 162.5 |
32 | 178 |
25 | 178 |
25 | 168.5 |
23.5 | 162.5 |
27.5 | 185.5 |
27.5 | 176.5 |
27 | 188 |
23 | 167 |
23 | 155 |
22.5 | 160.5 |
27 | 173 |
28 | 177.5 |
28 | 180 |
26.5 | 178 |
25 | 171.5 |
24 | 168 |
23 | 164.5 |
25 | 170.5 |
23 | 168 |
22 | 160.5 |
23.5 | 165 |
21 | 157 |
24 | 161.5 |
23.5 | 157.5 |
28 | 173 |
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