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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

विकल्प

  • 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
  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 16 | पृष्ठ २२९

संबंधित प्रश्न

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.

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 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 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


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


The term regression was introduced by


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.


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