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The regression coefficient of X on Y - Business Mathematics and Statistics

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प्रश्न

The regression coefficient of Y on X

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)`

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

  • bxy = `("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

उत्तर

byx = `("N"sum"dxdy" - (sum"dx")(sum"dy"))/("N"sum"dx"^2 - (sum"dx")^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 13 | पृष्ठ २२८

संबंधित प्रश्‍न

The heights (in cm.) of a group of fathers and sons are given below:

Heights of fathers: 158 166 163 165 167 170 167 172 177 181
Heights of Sons: 163 158 167 170 160 180 170 175 172 175

Find the lines of regression and estimate the height of the son when the height of the father is 164 cm.


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.


Given the following data, what will be the possible yield when the rainfall is 29.

Details Rainfall Production
Mean 25`` 40 units per acre
Standard Deviation 3`` 6 units per acre

Coefficient of correlation between rainfall and production is 0.8.


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.

The equations of two lines of regression obtained in a correlation analysis are the following 2X = 8 – 3Y and 2Y = 5 – X. Obtain the value of the regression coefficients and correlation coefficients.


When one regression coefficient is negative, the other would be


The lines of regression intersect at the point


Find the line regression of Y on X

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

Using the following information you are requested to

  1. obtain the linear regression of Y on X
  2. Estimate the level of defective parts delivered when inspection expenditure amounts to ₹ 82
    ∑X = 424, ∑Y = 363, ∑X2 = 21926, ∑Y2 = 15123, ∑XY = 12815, N = 10.
    Here X is the expenditure on inspection, Y is the defective parts delivered.

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