Use Minitab for this question. In Minitab , correlation is found under Stat/Basi

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Use Minitab for this question.

In Minitab, correlation is found under Stat/Basic. Remeber that a Spearman correlation is the correlation of the ranks. To calculate the natural logarithms of the data contained in, say, column 2 and put the results in, say, column 3, do the following. Under Editor, click Enble Commands, then type Let C3 = log(C2) at the MTB prompt.

Dry weights (Y) of 11 chick embryos ranging in age from 6 to 16 days (X) are given below.

Compute the values for the slope and intercept of the regression of Y on X.

Transform the weight data by taking the natural logarithm.

1.Determine the value of the Pearson correlation coefficient between transformed Y and X and the value of the Spearman correlation coefficient between transformed Y and X

X 6 7 8 9 10 11 12 13 14 15 16 Y 0.029 0.052 0.079 0.125 0.181 0.261 0.425 0.738 1.28 1.553 2.984

Explanation / Answer

regression of y on x

y^ = -1.884563636 +0.235018182*x

2) when log Y is regressed on x

Pearson correlation coefficient =

SUMMARY OUTPUT Regression Statistics Multiple R 0.850153531 R Square 0.722761027 Adjusted R Square 0.691956696 Standard Error 0.50886939 Observations 11 ANOVA df SS MS F Significance F Regression 1 6.075690036 6.07569 23.46297 0.000916 Residual 9 2.330532509 0.258948 Total 10 8.406222545 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -1.884563636 0.555322964 -3.39364 0.007953 -3.14079 -0.62834 -3.14079 -0.62834 x 0.235018182 0.048518793 4.843859 0.000916 0.125261 0.344775 0.125261 0.344775

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