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From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25?
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From the following data regarding the rainfall and the crop yield, est...
Estimating Rainfall from Crop Yield Data
Given data:
- Yield (in kg) = Y
- Rainfall (in cms) = X
- Average yield = 508.4 kg
- Standard deviation of yield = 36.4 kg
- Average rainfall = 26.7 cms
- Standard deviation of rainfall = 4.6 cms
- Correlation coefficient = 0.52
To estimate the rainfall when the yield is 600 kg, we can use linear regression analysis. The formula for linear regression is:
Y = a + bX
where Y is the dependent variable (crop yield), X is the independent variable (rainfall), a is the intercept, and b is the slope.
To find the intercept and slope, we need to use the following formulas:
b = r(SDY/SDX)
a = Ybar - bXbar
where r is the correlation coefficient, SDY is the standard deviation of yield, SDX is the standard deviation of rainfall, Ybar is the average yield, and Xbar is the average rainfall.
Using the given data, we can calculate:
b = 0.52(36.4/4.6) = 4.12
a = 508.4 - 4.12(26.7) = 402.5
Therefore, the regression equation is:
Y = 402.5 + 4.12X
To estimate the rainfall when the yield is 600 kg, we can substitute Y = 600 and solve for X:
600 = 402.5 + 4.12X
197.5 = 4.12X
X = 47.97 cms
Therefore, the estimated rainfall when the yield is 600 kg is 47.97 cms.
Answer: a)32.65
Given data:
- Yield (in kg) = Y
- Rainfall (in cms) = X
- Average yield = 508.4 kg
- Standard deviation of yield = 36.4 kg
- Average rainfall = 26.7 cms
- Standard deviation of rainfall = 4.6 cms
- Correlation coefficient = 0.52
To estimate the rainfall when the yield is 600 kg, we can use linear regression analysis. The formula for linear regression is:
Y = a + bX
where Y is the dependent variable (crop yield), X is the independent variable (rainfall), a is the intercept, and b is the slope.
To find the intercept and slope, we need to use the following formulas:
b = r(SDY/SDX)
a = Ybar - bXbar
where r is the correlation coefficient, SDY is the standard deviation of yield, SDX is the standard deviation of rainfall, Ybar is the average yield, and Xbar is the average rainfall.
Using the given data, we can calculate:
b = 0.52(36.4/4.6) = 4.12
a = 508.4 - 4.12(26.7) = 402.5
Therefore, the regression equation is:
Y = 402.5 + 4.12X
To estimate the rainfall when the yield is 600 kg, we can substitute Y = 600 and solve for X:
600 = 402.5 + 4.12X
197.5 = 4.12X
X = 47.97 cms
Therefore, the estimated rainfall when the yield is 600 kg is 47.97 cms.
Answer: a)32.65
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From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25?
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From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25?.
From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From the following data regarding the rainfall and the crop yield, estimated the rainfall when the yield is 600 kg. Y Yield X Rainfall (In kgs.) (In cms.) Average 508.4 26.7 S.D. 36.4 4.6 Correlation co-efficient = 0.52 a)32.65 b) 32 c) 36.6 d) 30.25?.
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