advertisement expenditure (in lakh of rupees) and their corresponding sales (in crores of rupees) Advertisement expenditure Sales Estimate the sales corresponding to advertising expenditure of ` lakh. . You are given the following data: Details Y Arithmetic Mean Standard Deviation If the Correlation coefficient between X and Y is . , then find (i) the two regression coefficients, (ii) the most likely value of Y when X = .
. Find the equation of the regression line of Y on X , if the observations ( X i , Y i ) are the following ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ). . 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 ( ` ) .
Expenditure on Food and Entertainment ( ` ) . . Coefficient of Correlation . Write down the regression equation and estimate the expenditure on Food and Entertainment, if the expenditure on accommodation is ` .
. For observations of pairs of ( X , Y ) of variables X and Y the following results are obtained. ∑ X = , ∑ Y = , ∑X = , ∑ Y = , ∑ XY = . Find the equation of the lines of regression and estimate the values of X and Y if Y = ; X = .
. The two regression lines were found to be X – Y + = and X – Y – = . 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 X = – Y and Y = – X . Obtain the value of the regression coefficients and correlation coefficient. Exercise . Choose the correct answer .