Question
Let's look at the correlation between (a) height and arm span and (b) hand span and left forearm length for 12 students. (cm) St 1
Let's look at the correlation between (a) height and arm span and
(b) hand span and left forearm length for 12 students.
(cm) | St 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Height | 165 | 158 | 140 | 165 | 168 | 158 | 169 | 165 | 165 | 163 | 165 | 170 |
Arm Span | 167 | 152 | 140.5 | 164.5 | 160 | 160 | 170 | 155 | 163.5 | 152 | 162 | 180 |
Left forearm length | 45 | 40 | 42 | 45.5 | 43.5 | 42 | 43 | 42.5 | 43 | 41 | 45 | 48 |
Left hand span | 21.5 | 18 | 20 | 17 | 20.5 | 19.5 | 17.5 | 22 | 19 | 20 | 21 | 17 |
Are these two associations weakly or strongly correlated? Construct a scatterplot and determine the degree of association for both associations. When done, carry out a linear regression analysis for both cases, constructing the equations for both associations.
once you have determined both equations, use them to predict the following: (a) Dr. Simon has an arm span of 70 inches. Based on your linear regression equation, how tall is he? (b) Dr. Simon's left hand spans 8 inches. Based on your linear regression equation, what is the length of his left forearm?
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