1. A researcher claims that the yield in bushes per acre is related to the avera
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Question
1. A researcher claims that the yield in bushes per acre is related to the average temperature. Interpret the coefficient of determination if he collects data on 6 different regions and computed value of the correlation coefficient is 0.98. A. 98% of the yield is associated with temperature. B. 2% of the yield is associated with temperature C. 4% of changes of temperature is not associated with the region. D. 96% of regions have yield. E. 96% of changes of yield are associated with changes of temperature F None of the above o o o 2. The yield in bushes per acre is related to the average temperature. The attached sample data was obtained in a recent study. The least-square regression equation for yield in bushes and the average temperature is - A. y 1.31.1X - B. y 2.1+0.9 X -C. y -0.80.9 X - D. y -1.31.1X 3. Assuming a liners regression of y = 2.1 + 0.8X between temperature and yield, if average temperature is 15 degree, the value of yield in bushes per acre is . A. 33.5 - C. 14.1 D. None of the above 4. Assuming a linear regression of y 2.1 +0.8X between temperature and yield, interpret the value of 2.1 - A. It shows strength of association between yield and temperature . B. Yield is 2.1 times of temperature. - C. At zero temperature, yield is 2.1 . D. Yield and temperature go up together E. None of the above. 5. Assuming a linear regression of y 2.1 +0.8X between temperature and yield, interpret the value of +0.8 - A. It shows strength of association between yield and temperature . B. Yield is 0.8 times of temperature. - C. Yield changes 0.8 in each region. . D. For every extra yield there is 0.8 extra temperatures. E. None of the above.Explanation / Answer
Correlation Coefficient f = 0.98
Coefficient of Determination R2 = (0.98)2 = 0.9604 = 96.04%
96% of the variation in yield is explained by the variation in temprature.
Option E is correct
Q3) Y =2.1+0.8X = 2.1+0.8*15 = 2.1+12 =14.1
Option C) is correct
Q 4) Option C) At 0 temprature Yield is 2.1
Q 5) Option E) None of the above.
+0.8 shows , as the unit change in temperature, the yield is increased by 0.8
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