Practice Test

Q1) Find the equation of the regression line of Y on X, hence find Y when X = 10, given that:
X : 1 2 3 4 5 6
Y : 2 4 7 6 5 6

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Q2) Find the equation of regression lines of x on y from the following data:
x : 6 02 10 4 8
y : 9 11 5 8 7
Show Answer

Q3) For a sample of firms the coefficient of correlation between the profit rate (X) and growth rate (Y) is found to be 0.9. Obtain the equation of the regression line of X on Y
X Y
Mean 20 25
Variance 09 25 Show Answer

Q4) The equation of regression line of Y on X is 16y - x = 64 and regression line of X on Y is x - 4y = - 4. Find the means of X and Y. Also find the correlation coefficient between X and Y. Show Answer

Q5) Two samples from bi-variate populations have 15 observations each. The sample means of X and Y are 25 and 18 respectively. The corresponding sum squares of deviations from means are 136 and 148. The sum product of deviations from respective means is 122. obtain the equation of line of regression of X on Y. Show Answer

Q6) For bi-variate data the regression coefficient of Y on X is 0.4 and the regression coefficient of X on Y is 0.9. Find the value of Y if variance of X is 9. Show Answer

Q7) The variable whose value is predict using the algebric equation is called the_____ Show Answer

Q8) Measuring the strength or degree of relationship between two variables is called as_____ Show Answer

Q9) Which of the following is true about the two regression coefficients? Show Answer

Q10) Regression coefficient is independent of change of______ Show Answer

Q11) The difference between the observed value and the estimated value in regression analysis is known as______ Show Answer

Q12) The two regression co-efficient are 0.8 and 0.2, hence correlation is Show Answer

Q13) If r < 0, then which of the following is true ? Show Answer

Q14) Which of the following data is consistent ? Show Answer

Q15) The principal involved in obtaining `the lines of best fit' is called the ______ Show Answer

Q16) If two regression lines are given then, we can obtain? Show Answer

Q17) The slope of the regression lines X on Y is Show Answer

Q18) Regression analysis is the theory of __________. Show Answer

Q19) We can estimate the value of one variable with the help of other known variable only if they are ___________. Show Answer

Q20) There are ________ types of regression equations. Show Answer

Q21) In the regression equation of Y on X __________. Show Answer

Q22) In the regression equation of X and Y _________. Show Answer

Q23) Regression analysis is the theory of Show Answer

Q24) We can estimate the value of one variable
with the help of other known variable only
if they are Show Answer

Q25) There are __________ types of regression
equations. Show Answer

Q26) In the regression equation of Y on X Show Answer

Q27) In the regression equation of X on Y Show Answer

Q28) 'r' is Show Answer

Q29) Corr (x, x) = __________ Show Answer

Q30) Corr (x, y) = __________ Show Answer

Q31) Regression equation of X on Y is _______ Show Answer

Q32) Regression equation of Y on X is __________ Show Answer

Q33) Cov (x, y) = __________ Show Answer

Q34) If equations of regression lines are 3 x + 2 y − 26 = 0 and 6 x + y − 31 = 0 then means of x and y are Show Answer

Q35) Corr (x, x) = 1 Show Answer

Q36) Corr (x, y) = Corr (y, x) Show Answer

Q37) ‘r’ is regression coefficient of Y on X Show Answer

Q38) In Regression analysis the variable that is predicted is _________. Show Answer

Q39) If a Regression coefficient is less than 1 then the other should be _______. Show Answer

Q40) The term regression was first used by ________. Show Answer

Q41) ________ refers to analysis of average relationship between two variables to provide mechanism for prediction. Show Answer

Q42) If there are two variables, there can be at most. ________ number of regression lines. Show Answer

Q43) If the regression line is Y on X, then the variable X is known as ________. Show Answer

Q44) Regression line is also called ________. Show Answer

Q45) If the regression line is X on Y, then the variable X is known as _______. Show Answer

Q46) If the regression line is X on Y, then the variable X is known as _________. Show Answer

Q47) If the regression line is Y on X, then the variable X is known as ________. Show Answer

Q48) The point of intersection of two regression lines is _________. Show Answer

Q49) The Correlation coefficient between two variables is the ________ of their regression coefficients. Show Answer

Q50) If the correlation coefficient between two variables, X and Y, is negative, then the regression coefficient of Y on X is _______. Show Answer

Q51) If one regression coefficient is negative, the other is ________. Show Answer

Q52) Regression coefficient is independent of ________. Show Answer