English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

The lines of regression of X on Y estimates - Business Mathematics and Statistics

Advertisements
Advertisements

Question

The lines of regression of X on Y estimates

Options

  • X for a given value of Y

  • Y for a given value of X

  • X from Y and Y from X

  • none of these

MCQ
Advertisements

Solution

X for a given value of Y

shaalaa.com
Regression Analysis
  Is there an error in this question or solution?
Chapter 9: Correlation and Regression Analysis - Exercise 9.3 [Page 229]

APPEARS IN

Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 9 Correlation and Regression Analysis
Exercise 9.3 | Q 16 | Page 229

RELATED QUESTIONS

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.


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


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


The lines of regression intersect at the point


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.


X and Y are a pair of correlated variables. Ten observations of their values (X, Y) have the following results. ∑X = 55, ∑XY = 350, ∑X2 = 385, ∑Y = 55, Predict the value of y when the value of X is 6.


Find the line regression of Y on X

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

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×