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past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms
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past 10 years data on rainfall and output of wheat in a certain villag...
Calculation of Regression Equation
- Regression equation: Y = a + bX
- Where Y is the dependent variable (wheat output) and X is the independent variable (rainfall)
- a = Y - bX
- b = r * (SDy/SDx)
- SDy = square root of variance of wheat output = square root of 3 = 1.73
- SDx = square root of variance of rainfall = square root of 5 = 2.24
- r = 0.65
- a = 25 - 0.65 * (1.73/2.24) * 20 = 18.81
- b = 0.65 * (1.73/2.24) = 0.50
- Regression equation: Y = 18.81 + 0.50X
Prediction of Wheat Output
- Given rainfall = 35 cms
- Using regression equation: Y = 18.81 + 0.50 * 35 = 35.31
- Therefore, the most likely wheat output per acre when rainfall is 35 cms is 35.31 quintals
Interpretation of Results
- The regression equation indicates that there is a positive linear relationship between rainfall and wheat output in the village
- For every one unit increase in rainfall, there is an expected increase of 0.50 quintals in wheat output
- The coefficient of determination (r-squared) can be calculated as r^2 = 0.65^2 = 0.42
- This means that 42% of the variation in wheat output can be explained by the variation in rainfall
- However, it should be noted that there may be other factors that influence wheat output in the village, which are not accounted for in this analysis
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past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)?
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past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)? 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 past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)?.
past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)? 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 past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for past 10 years data on rainfall and output of wheat in a certain village offered the following results. av. wheat output- 25qtl av. rainfall 20cms , variance of wheat output- 3qtl , variance of rainfall- 5 cms, r- 0.65, find the most likely wheat output per acre when rainfall is 35 cms Related: Correlation And Regression (Part - 1)?.
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