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If the regression coefficient of Y on X is 2, then the regression coefficient of X on Y is - Business Mathematics and Statistics

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प्रश्न

If the regression coefficient of Y on X is 2, then the regression coefficient of X on Y is

विकल्प

  • `≤1/2`

  • 2

  • `>1/2`

  • 1

MCQ
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उत्तर

`≤1/2`

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Regression Analysis
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Correlation and Regression Analysis - Exercise 9.3 [पृष्ठ २२९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 9 Correlation and Regression Analysis
Exercise 9.3 | Q 18 | पृष्ठ २२९

संबंधित प्रश्न

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


The following data relate to advertisement expenditure (in lakh of rupees) and their corresponding sales (in crores of rupees)

Advertisement expenditure 40 50 38 60 65 50 35
Sales 38 60 55 70 60 48 30

Estimate the sales corresponding to advertising expenditure of ₹ 30 lakh.


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 regression coefficient of Y on X


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


The lines of regression of X on Y estimates


The term regression was introduced by


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.

The following information is given.

Details X (in ₹) Y (in ₹)
Arithmetic Mean 6 8
Standard Deviation 5 `40/3`

Coefficient of correlation between X and Y is `8/15`. Find

  1. The regression Coefficient of Y on X
  2. The most likely value of Y when X = ₹ 100.

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