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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
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62.2 64.5
63.2 70.5
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63.2 64.0
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64.2 69.5
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64.2 64.0
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65.2 71.5
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65.2 64.0
66.2 71.5
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66.2 70.5
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66.2 64.0
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67.2 71.5
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67.2 64.0
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68.2 72.5
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68.2 64.0
69.2 72.5
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73.7 72.5
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73.7 69.5
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73.7 69.5
73.7 69.5
73.7 69.5
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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