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The regression coefficient of X on Y

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प्रश्न

The regression coefficient of X on Y

पर्याय

  • bxy = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/("N"sum"dy"^2 - (sum"dy")^2)`

  • byx = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/("N"sum"dy"^2 - (sum"dy")^2)`

  • bxy = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/("N"sum"dx"^2 - (sum"dx")^2)`

  • by = `("N"sum"xy" - (sum"x")(sum"y"))/(sqrt("N"sum"x"^2 - (sum"x")^2) xx sqrt("N"sum"y"^2 - (sum"y")^2))`

MCQ
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उत्तर

bxy = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/("N"sum"dy"^2 - (sum"dy")^2)`

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Regression Analysis
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Correlation and Regression Analysis - Exercise 9.3 [पृष्ठ २२८]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 9 Correlation and Regression Analysis
Exercise 9.3 | Q 12 | पृष्ठ २२८

संबंधित प्रश्‍न

The following data give the height in inches (X) and the weight in lb. (Y) of a random sample of 10 students from a large group of students of age 17 years:

X 61 68 68 64 65 70 63 62 64 67
Y 112 123 130 115 110 125 100 113 116 125

Estimate weight of the student of a height 69 inches.


Obtain the two regression lines from the following data N = 20, ∑X = 80, ∑Y = 40, ∑X2 = 1680, ∑Y2 = 320 and ∑XY = 480.


You are given the following data:

Details X Y
Arithmetic Mean 36 85
Standard Deviation 11 8

If the Correlation coefficient between X and Y is 0.66, then find

  1. the two regression coefficients,
  2. the most likely value of Y when X = 10.

Find the equation of the regression line of Y on X, if the observations (Xi, Yi) are the following (1, 4) (2, 8) (3, 2) (4, 12) (5, 10) (6, 14) (7, 16) (8, 6) (9, 18).


A survey was conducted to study the relationship between expenditure on accommodation (X) and expenditure on Food and Entertainment (Y) and the following results were obtained:

Details Mean SD
Expenditure on Accommodation (₹) 178 63.15
Expenditure on Food and Entertainment (₹) 47.8 22.98
Coefficient of Correlation 0.43

Write down the regression equation and estimate the expenditure on Food and Entertainment, if the expenditure on accommodation is ₹ 200.


For 5 observations of pairs of (X, Y) of variables X and Y the following results are obtained. ∑X = 15, ∑Y = 25, ∑X2 = 55, ∑Y2 = 135, ∑XY = 83. Find the equation of the lines of regression and estimate the values of X and Y if Y = 8; X = 12.


The two regression lines were found to be 4X – 5Y + 33 = 0 and 20X – 9Y – 107 = 0. Find the mean values and coefficient of correlation between X and Y.


The regression coefficient of Y on X


If X and Y are two variates, there can be at most


Find the line regression of Y on X

X 1 2 3 4 5 8 10
Y 9 8 10 12 14 16 15

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