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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

पर्याय

  • `≤1/2`

  • 2

  • `>1/2`

  • 1

MCQ
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उत्तर

`≤1/2`

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Regression Analysis
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Correlation and Regression Analysis - Exercise 9.3 [पृष्ठ २२९]

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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 18 | पृष्ठ २२९

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.


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.


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).


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


When one regression coefficient is negative, the other would be


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


The following data pertains to the marks in subjects A and B in a certain examination. Mean marks in A = 39.5, Mean marks in B = 47.5 standard deviation of marks in A = 10.8 and Standard deviation of marks in B = 16.8. coefficient of correlation between marks in A and marks in B is 0.42. Give the estimate of marks in B for the candidate who secured 52 marks in A.


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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