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Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100?
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Find the line of regression of y on x for the following data: x 41 82 ...
Data:
Explanation:
Calculations:
Solution:
- x: 41, 82, 62, 37, 58, 96, 127, 74, 123, 100
- y: (unknown)
Explanation:
- In order to find the line of regression of y on x, we first need to calculate the mean of x and y, as well as the sum of squares of both x and y.
- Using these values, we can then calculate the slope and intercept of the regression line formula.
- The formula for the line of regression of y on x is y = a + bx, where a is the intercept and b is the slope.
- The slope of the regression line (b) can be calculated as b = Σ[(xi - x̄)(yi - ȳ)] / Σ[(xi - x̄)²].
- The intercept of the regression line (a) can be calculated as a = ȳ - b(x̄).
Calculations:
- Mean of x (x̄) = (41+82+62+37+58+96+127+74+123+100) / 10 = 79.2
- Sum of squares of x (Σx²) = 580,422
- Mean of y (ȳ) = (unknown)
- Sum of squares of y (Σy²) = (unknown)
- Σ[(xi - x̄)(yi - ȳ)] = (unknown)
Solution:
- Since we do not have the values of y, we cannot calculate the line of regression of y on x.
- Therefore, we need to assume or be given the values of y in order to proceed with the calculations.
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Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100?
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Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100?.
Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the line of regression of y on x for the following data: x 41 82 62 37 58 96 127 74 123 100?.
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