Conduct a simple linear regression analysis of the Galton data, using Minitab wi
ID: 3301588 • Letter: C
Question
Conduct a simple linear regression analysis of the Galton data, using Minitab with the Mid-Parent Height as the predictor variable. Paste the output from the Minitab regression analysis into your word file.
Child Midparent
61.7 70.5
61.7 68.5
61.7 65.5
61.7 64.5
61.7 64.0
62.2 67.5
62.2 67.5
62.2 67.5
62.2 66.5
62.2 66.5
62.2 66.5
62.2 64.5
63.2 70.5
63.2 69.5
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63.2 66.5
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63.2 64.5
63.2 64.5
63.2 64.5
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63.2 64.0
63.2 64.0
64.2 69.5
64.2 69.5
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64.2 64.5
64.2 64.0
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64.2 64.0
64.2 64.0
65.2 71.5
65.2 70.5
65.2 69.5
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65.2 68.5
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65.2 65.5
65.2 65.5
65.2 64.5
65.2 64.0
66.2 71.5
66.2 71.5
66.2 71.5
66.2 70.5
66.2 69.5
66.2 69.5
66.2 69.5
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66.2 69.5
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66.2 64.5
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66.2 64.0
66.2 64.0
67.2 71.5
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67.2 64.5
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67.2 64.0
67.2 64.0
68.2 72.5
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68.2 70.5
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68.2 65.5
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68.2 64.0
69.2 72.5
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70.2 72.5
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72.2 73.0
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73.2 73.0
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73.7 72.5
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61.7 70.5
Explanation / Answer
Here we have given that
X : Mid parent height
Y : child parent height
Now we can perform regression analysis using MINITAB SOFTWARE
STAT <<< REGRESSION << PUT ( y (RESPONSE) AND (x ) PREDICTOR
<<<< OK
We get the following output
Regression Analysis: child ( Y) versus Mid parent ( X)
The regression equation is
child ( Y) = 24.3 + 0.641 Mid parent ( X)
Predictor Coef SE Coef T P
Constant 24.327 2.826 8.61 0.000
Mid parent ( X) 0.64053 0.04135 15.49 0.000
S = 2.25194 R-Sq = 20.6% R-Sq(adj) = 20.5%
Analysis of Variance
Source DF SS MS F P
Regression 1 1216.9 1216.9 239.97 0.000
Residual Error 927 4701.0 5.1
Total 928 5918.0
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