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(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]

(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]

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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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