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

Question

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. 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 1.37 1.49 2.938 Determine the value of the Pearson correlation coefficient between Y and X. [2 pt(s)] Submit Answe Tries o/3 Determine the value of the Spearman correlation coefficient between Y and X. 12 pt(s)] Submit Answe Tries 0/3 Compute the values for the slope and intercept of the regression of Yon X. What is B 2 pt(s)] Submit Answe Tries o/3 What B is 2 pt(s)] Submit Answe Tries o/3 Transform the weight data by taking the natural logarithm.

Explanation / Answer

1> To determine the value of correlation coefficint using minitab we use the following steps

i>At first store the values of x and y in two different columns then stat<>basic statistics<>corellation<>select the variables<>pearson

pearson=.853

spearsman=1

to find the value of regresion coefficient

2> stat<>basic statistics<>in response type y in continuous predictors type x go to storage select fits and coefficient the select ok

i>b0_hat=-1.865

ii>b1_hat= 0.2331

taking the logarithm using the given process and repeating the same steps as in 1

i>pearson=.998

ii>spearsman=1

iii>bo_hat=1.342

iv>b1_hat=0.523

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