(a) For what range of values can the coefficient of correlation of a sample of 52 pairs be considered significantly different from zero at the 1% level of significance? (b) Do the following for the data Days after emergence, X Yield (g/plant) Improved, Y2 Average dry matter Conventional, Y, 8. 50 180 35 52 170 49 71 91 250 270 104 270 310 Compute the coefficients of correlation between X and Y1, Yi and Y2, and X and Y2 Compute coefficients of determination between X and Y1, and X and Y2. Interpret these coefficients. 1) ii) Test the hypothesis that the population correlation coefficient between Yi and Y: is 0.80 against the al ternative that it is not. iii) İSimple Regression & Correlation]

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Q5. (a) For what range of values can the coefficient of correlation of a sample of 52 pairs be
considered significantly different from zero at the 1% level of significance?
(b) Do the following for the data
Days after emergence, X
Average dry matter
Conventional, Y,
Yield (g'plant) Improved,
Y2
9.
35
52
170
270
49
50
71
180
91
250
270
3 10
104
Compute the coefficients of correlation between X and Y1, Yi and Y2, and X and
Y2
Compute coefficients of determination between X and Y 1, and X and Y2. Interpret
these coefficients.
ii)
iii)
Test the hypothesis that the population correlation coefficient between Yi and Y:
is 0.80 against the alternative that it is not.
|Simple Regression & Correlation]
Transcribed Image Text:Q5. (a) For what range of values can the coefficient of correlation of a sample of 52 pairs be considered significantly different from zero at the 1% level of significance? (b) Do the following for the data Days after emergence, X Average dry matter Conventional, Y, Yield (g'plant) Improved, Y2 9. 35 52 170 270 49 50 71 180 91 250 270 3 10 104 Compute the coefficients of correlation between X and Y1, Yi and Y2, and X and Y2 Compute coefficients of determination between X and Y 1, and X and Y2. Interpret these coefficients. ii) iii) Test the hypothesis that the population correlation coefficient between Yi and Y: is 0.80 against the alternative that it is not. |Simple Regression & Correlation]
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