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The lines of regression of X on Y estimates

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प्रश्न

The lines of regression of X on Y estimates

पर्याय

  • X for a given value of Y

  • Y for a given value of X

  • X from Y and Y from X

  • none of these

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उत्तर

X for a given value of Y

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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 16 | पृष्ठ २२९

संबंधित प्रश्‍न

From the data given below:

Marks in Economics: 25 28 35 32 31 36 29 38 34 32
Marks in Statistics: 43 46 49 41 36 32 31 30 33 39

Find

  1. The two regression equations,
  2. The coefficient of correlation between marks in Economics and Statistics,
  3. The mostly likely marks in Statistics when the marks in Economics is 30.

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.


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.


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 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.


The regression coefficient of X on Y


The regression coefficient of Y on X


The lines of regression intersect at the point


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

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