Practice Test


Q1) A bivariate frequency distribution contains Show Answer


Q2) Objective of Regression Analysis is Show Answer


Q3) State the nature of correlation, for "Sale of Woolen cloth and Temperature". Show Answer


Q4) State the nature of correlation, for "Production of big iron and soot content in Jamshedpur". Show Answer


Q5) State the nature of correlation, for "Sale of soft drinks and temperature". Show Answer


Q6) State the nature of correlation, for "Number of claims and profits of an insurance company". Show Answer


Q7) State the nature of correlation, for "Sale of shoes and rail accidents". Show Answer


Q8) Scatter diagram is used for finding Show Answer


Q9) Scatter diagram is used for finding Show Answer


Q10) When the plotted points lie in a straight line from upper left to lower right then it is Show Answer


Q11) When the plotted points lie from upper left to lower right then it is Show Answer


Q12) Nature of correlation between speed of car and the distance traveled by it after applying the brakes is Show Answer


Q13) To find curvilinear relation the measure used is Show Answer


Q14) When there is None of these casual relation between two variables and the relation is due to third variable then the correlation is Show Answer


Q15) Covariance is Show Answer


Q16) Co-efficient of correlation is Show Answer


Q17) Per capita income and mortality rate have ____________ correlation Show Answer


Q18) Co-efficient of correlation is affected by 'x' measured in cms and 'y' measured in kgs Show Answer


Q19) The value of 'r' has between Show Answer


Q20) r' is affected by shifted of origin Show Answer


Q21) r' is not affected by change of scale Show Answer


Q22) The basic principle of finding regression equations are Show Answer


Q23) The residue incase of regression analysis can be Show Answer


Q24) r = 0.8 the value of co-efficient of determination is Show Answer


Q25) r = - 0.4 the value of unexplained variation is Show Answer


Q26) R = -1 it means that the judges Show Answer


Q27) r is affected if the change of scale differs in sign. Show Answer


Q28) The difference between the actual value and estimated value calculated using regression equal is called Show Answer


Q29) For a bivariate data, the sum of squares of differences between ranks is 69. The number of pairs is 9. What is the Spearman's coefficient of rank correlation? Show Answer


Q30) The sum of squares of differences between ranks is found to be 60. The Spearman's coefficient of rank correlation is 0.5. What is the number of pairs in the data? Show Answer


Q31) When regression lines coincide then r = 0 . Is the statement true or false? Show Answer


Q32) In case of bivariate frequency distribution (m X n), the number of cells are Show Answer


Q33) In case of bivariate frequency distribution (m x n) , the maximum number of marginal frequency distribution are Show Answer


Q34) In case of bivariate frequency distribution (m x n) , the maximum number of conditional frequency distribution are Show Answer


Q35) When r = 1 then the correlation is

Show Answer


Q36) When 1 > r > 0 then the correlation is Show Answer


Q37) When -1 < r < 0 then the correlation is Show Answer


Q38) When r = 0 then in scatter diagrams the points are scattered throughout. Show Answer


Q39) In case of bivariate frequency distribution (m x n) , value in the cannot be Show Answer


Q40) When two regression lines are coincident then Show Answer


Q41) The square root of the product of the regression co-efficient is Show Answer


Q42) High degree positive correlation means Show Answer


Q43) Low degree negative correlation means Show Answer


Q44) The sign value of covariance depends on Show Answer


Q45) Covariance is defined as Show Answer


Q46) Formula for finding concurrent deviation is Show Answer


Q47) The co-efficient of correlation between two variables X and Y is 0.8 and their covariance is 20. If the variance of X series is 16, find the standard deviation of Y series. Show Answer


Q48) Karl Pearson's coefficient of correlation between two variables x and y 0.28, their co-variance is + 7.6. If the variance of x is 9, find the standard deviation of y series. Show Answer


Q49) In a correlation analysis, the values of the Karl Pearson's coefficient of correction and its probable error were found to be 0.90 and 0.04 respectively. Find the value of N Show Answer


Q50) Regression coefficient of y on x = 0.8
Regression coefficient of x on y = 0.2
Coefficient of correlation = - 4. given data is
Show Answer


Q51) Coefficient of correlation (r) between two variables X and Y is + 0.95. What percent variation in X (the dependent variables) remains unexplained by the variance in Y (the independent variable)? Show Answer


Q52) Multiply each x value in the table by 2 and 6. Multiply each value of y in the table by 3 and subtract 15. Find the correlation coefficient between two net sets of values. Show Answer


Q53) The regression lines are 3x - 2y = 6 and 8x - 3y = 44. Find the correlation co-efficient between x and y. Also find the mean of x and y. Show Answer


Q54) Bivariate Data are the data collected for Show Answer


Q55) For a bivariate frequency table having (p + q) classification the total number of cells is Show Answer


Q56) Some of the cell frequencies in a bivariate frequency table may be Show Answer


Q57) For a p x q bivariate frequency table, the maximum number of marginal distributions is Show Answer


Q58) For a p x q classification of bivariate data, the maximum number of conditional distributions is Show Answer


Q59) Correlation analysis aims at Show Answer


Q60) _____ is concerned with measurement of the "Strength of association" between variables. Show Answer


Q61) Simple correlation is called Show Answer


Q62) If the values of y are not affected by changes in the values of x, the variables are said to be Show Answer


Q63) When the variables are not independent, the correlation coefficient may be zero Show Answer


Q64) When high values of one variable are associated with high values of the other & low values of one variable are associated with low values of another, then they are said to be Show Answer


Q65) If high values of one tend to low values of the other, they are said to be Show Answer


Q66) Correlation coefficient between two variables is a measure of their linear relationship. Show Answer


Q67) Correlation coefficient is a pure number. Show Answer


Q68) Correlation coefficient is ------ of the units of measurement. Show Answer


Q69) If two variables x and y are independent then the correlation coefficient between x and y is _____. Show Answer


Q70) The correlation is said to be positive Show Answer


Q71) If x denotes height of a group of students expressed in cm. and y denotes their weight expressed in kg, then the correlation coefficient between height and weight Show Answer


Q72) Correlation coefficient is dependent on the change of both origin & the scale of observations. Show Answer


Q73) What is spurious correlation? Show Answer


Q74) Age of Applicants for life insurance and the premium of insurance - correlations are Show Answer


Q75) "Unemployment index and the purchasing power of the common man" - correlations are Show Answer


Q76) The correlation between height and intelligence is _____ . Show Answer


Q77) The correlation between sale of cold drinks and day temperature is _____. Show Answer


Q78) The correlation between Employment and Purchasing power is _____. Show Answer


Q79) In case The ages of husbands and wives' correlation is Show Answer


Q80) Whatever may be the value of r, positive or negative, its square will be Show Answer


Q81) A small value of r indicates only a _____ linear type of relationship between the variables. Show Answer


Q82) Correlation methods are used to study the relationship between two time series of data which are recorded annually, monthly, weekly, daily and so on. Show Answer


Q83) _____ is a relative measure of association between two or more variables. Show Answer


Q84) The value of correlation coefficient lies between Show Answer


Q85) Neither y nor x can be estimated by a linear function of the other variable when r equals Show Answer


Q86) What are the limits of the correlation coefficient? Show Answer


Q87) If r is the correlation co-efficient, then Show Answer


Q88) The partial correlation coefficient lies between Show Answer


Q89) . If y = a + bx, then what is the coefficient of correlation between x and y? Show Answer


Q90) In case the correlation coefficient between two variables is 1, the relationship between the two variables would be Show Answer


Q91) If a, b, c, d are constants such that a and c are of opposite signs and r is the correlation coefficient between X and Y, then the correlation coefficient between aX + b and cY + d is Show Answer


Q92) A coefficient near +1 indicates tendency for the larger values of one variable to be associated with the larger values of the other. Show Answer


Q93) There is a high direct association between measures of 'cigarette smoking' and 'lung damage. The correlation coefficient consistent with the above statement is Show Answer


Q94) For finding degree of agreement about beauty between 2 Judges in a Beauty Contest, we use Show Answer


Q95) Correlation coefficient can be found out by Show Answer


Q96) Scatter diagram helps us to Show Answer


Q97) Scatter diagram is considered for measuring Show Answer


Q98) Which of the following statements is not false? Show Answer


Q99) If the plotted points in a scatter diagram are evenly distributed, then the correlation is Show Answer


Q100) If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is Show Answer


Q101) If all the plotted points in a scatter diagram lie on a single line, then the correlation is Show Answer


Q102) The more scattered the points are around a straight line a scattered diagram the _____ is the correlation coefficient. Show Answer


Q103) The correlation coefficient being +1 if the slope of the straight line a scatter diagram is Show Answer


Q104) The correlation coefficient being -1 if the slope of the straight line in a scatter diagram Show Answer


Q105) When r = 1, all the points in a scatter diagram would lie Show Answer


Q106) In calculating the Karl Pearson's coefficient of correlation it is necessary that the data should be of numerical measurements. The statement is Show Answer


Q107) Person's correlation coefficient is used for finding Show Answer


Q108) Product moment correlation coefficient is considered for Show Answer


Q109) Product moment correlation coefficient may be defined as the ratio of Show Answer


Q110) Co-variance may be positive, negative or zero. Show Answer


Q111) Covariance measures_____ variations of two variables. Show Answer


Q112) Correlation coefficient between x and y = correlation coefficient between u and v Show Answer


Q113) Karl Pearson's coefficient is defined from Show Answer


Q114) p (X, Y) equals Show Answer


Q115) When r = 0 then cov(x, y) is equal to Show Answer


Q116) If the coefficient of correlation between x and y is 0.28, co-variance between x and y is 7.6 and the variance of x is 9, then the S.D. of y series is; Show Answer


Q117) If for two variable X and Y, the covariance, variance of X and variance of Y are 40, 16 and 256 respectively, what is the value of the correlation coefficient? Show Answer


Q118) If the covariance between two variables is 20 and the variance of one of the variables is 16, what would be the variance of the other variable? Show Answer


Q119) The co-efficient of correlation between two variables x and y is 0.5, their co-variance is 16. If S.D. of x is 4 and S.D. of y is equal to: Show Answer


Q120) If the relationship between two variables x and y is given by 2x+3y+4=0, then the value of the correlation coefficient between x and y is Show Answer


Q121) Two variables X and Y are related as 4x + 3y = 7, then the Correlation between x and y is Show Answer


Q122) Coefficient of correlation between x and y for 20 items is 0.4 . The AM'S and the SD'S of x and y are known to be 12, 15, 3 and 4 respectively. Later on, it was found that the pair (20, 15) was wrongly taken as (15, 20). Find the correct value of correlation coefficient. Show Answer


Q123) If u + 5x = 6 and 3y - 7v = 20 and the correlation coefficient between x and y is 0.58 then what would . be the correlation coefficient between u and v? Show Answer


Q124) Rank correlation coefficient lies between Show Answer


Q125) Maximum value of Rank Correlation coefficient is Show Answer


Q126) The sum of the difference of rank is Show Answer


Q127) In rank correlation coefficient only an increasing / decreasing relationship is required. Show Answer


Q128) Great advantage of _____ is that it can be used to rank attributes which cannot be expressed by way of numerical value. Show Answer


Q129) For finding correlation between two attributes, we consider Show Answer


Q130) For finding the degree of agreement about beauty between two Judges in Beauty Contest, we use Show Answer


Q131) Two numbers within the brackets denote the ranks of 10 students of class in two subjects : (1, 10), (2, 9), (3, 8), (4, 7), (5, 6), (6, 5) , (7, 4), (8, 3), (9, 2), (10, 1), then rank correlation coefficient is Show Answer


Q132) If there is a perfect disagreement between the marks in Geography and Statistics, then what would be the value of rank correlation coefficient? Show Answer


Q133) For a group of 8 students, the sum of squares of differences in ranks for Maths and Stats mark was found to be 50. What is the value of rank correlation coefficient? Show Answer


Q134) If the sum of squares of difference of ranks, given by two judge A and B, of 8 students in 21, what is the value of rank correlation coefficient? Show Answer


Q135) If the sum of the squares of rank differences in the marks of 10 students in two students is 44, then the coefficient of rank correlation is _____. Show Answer


Q136) If the rank correlation coefficient between marks in management and mathematics for a group of student is 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group? Show Answer


Q137) For a number of towns, the coefficient of rank correlation between the people living below the poverty line and increase of population is 0.50. If the sum of squares of the differences in ranks awarded to these factors is 82.50, find the number of towns. Show Answer


Q138) While computing rank correlation coefficient between profit and investment for the last 6 years of a company the difference in rank for a year was taken 3 instead of 4. What is the rectified rank correlation coefficient if it is known that the original value of rank correlation coefficient was 0.4? Show Answer


Q139) While computing rank correlation coefficient between profits and investment for 10 years of a firm, the difference in rank for a year was taken as 7 instead of 5 by mistake and the value of rank correlation coefficient was computed as 0.80. What would be the correct value of rank correlation coefficient after rectifying the mistake? Show Answer


Q140) When we are not concerned with the magnitude of the two variables under discussion, we consider Show Answer


Q141) What is the quickest method to find correlation between two variables? Show Answer


Q142) In Method of Concurrent Deviations, only the directions of change (Positive direction / Negative direction) in the variables are taken into account for calculation of Show Answer


Q143) For 10 pairs of observations, no. of concurrent deviations was found to be 4. What is the value of the coefficient of concurrent deviation? Show Answer


Q144) The coefficient of concurrent deviation for p pairs of observations was found to be 1/V3. If the number of concurrent deviations was found to be 6, then the value of p is Show Answer


Q145) In case' Insurance Companies' Profits and the no .of claims they have to pay" Show Answer


Q146) Correlation coefficient between x and y is l,then correlation coefficient between x-2 and (-y/2) +1 is Show Answer


Q147) Correlation coefficient between x and y is zero then two regression lines are Show Answer


Q148) The statistical method which helps us to estimate or predict the unknown value of one variable from the known value of the related variable is called Show Answer


Q149) _____ gives the mathematical relationship of the variables. Show Answer


Q150) The regression analysis measures Show Answer


Q151) Regression analysis is concerned with Show Answer


Q152) Since Blood Pressure of a person depends on age, we need consider Show Answer


Q153) The line x = a + by represents the regression equation of Show Answer


Q154) The line y = a + bx represents the regression equation of Show Answer


Q155) The regression coefficients are zero if r is equal to Show Answer


Q156) What are the limits of the two regression coefficients? Show Answer


Q157) Regression coefficient is independent of the change of Show Answer


Q158) Regression coefficients are affected by _____. Show Answer


Q159) The difference between the observed value and the estimated value in regression analysis is known as Show Answer


Q160) The errors in case of regression equation are Show Answer


Q161) Regression lines are passes through the _____ points. Show Answer


Q162) By x is called regression coefficient of Show Answer


Q163) By y is called regression coefficient of Show Answer


Q164) The slope of the regression line of y on x is Show Answer


Q165) The slope of the regression line of x on y is Show Answer


Q166) R, b_(x y), b_(y x) all have _____ sign. Show Answer


Q167) The two lines of regression meet at Show Answer


Q168) The point which always lies on the two lines of regression is Show Answer


Q169) If there are two variables x and y, then the number of regression equations could be Show Answer


Q170) The angle between the regression lines depends on Show Answer


Q171) The regression lines are identical if r is equal to Show Answer


Q172) The regression lines are perpendicular to each other if r is equal to Show Answer


Q173) Two regression lines coincide when Show Answer


Q174) The equations Y = a + bX and X = a + bY are based on the method of Show Answer


Q175) The method applied for deriving the regression equations is known as Show Answer


Q176) Feature of least square regression lines are "The sum of the deviations at the Y's or the X's from their regression lines are zero". Show Answer


Q177) The regression line of y on x is derived by Show Answer


Q178) The line of regression passes through the points, bearing _____ no. of points on both sides. Show Answer


Q179) Two regression lines always intersect at the means. Show Answer


Q180) If x and y satisfy the relationship y = - 5 + 7 x, the value of r is Show Answer


Q181) The regression equation are 8 x - 10 y + 66 = 0 and 40 x - 18 y = 214 find the coefficient of correlation Show Answer


Q182) If two regression lines are: x +3y = 7 and 2x+5y=12 then x and y are respectively. Show Answer


Q183) If the mean of two variables x & y are 3 and 1 respectively. Then the equation of two regression lines are _____. Show Answer


Q184) Out of the two lines of regression given by x + 2 y = 4 and 2 x + 3 y - 5 = 0, the regression line of x on y is:
Show Answer


Q185) Equations of two lines of regression are 4 x + 3 y + 7 = 0 and 3 x + 4 y + 8 = 0, the mean of x and y are Show Answer


Q186) Two lines of regression are given by 5 x + 7 y - 22 = 0 and 6 x + 2 y - 22 = 0. If the variance of y is 15 find the standard deviation of x. Show Answer


Q187) If two regression lines are: y = 4 + k x and x = 5 + 4 y, then the range of k is Show Answer


Q188) If the relationship between two variables x and u is u + 3 x = 10 and between two other variables y and v is 2y + 5v = 25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u? Show Answer


Q189) For the variables x and y, the regression equations are given as 7 x -3 y - 18 = 0 and 4 x - y - 11 = 0 . After finding the arithmetic means of x and y, compute the correlation coefficient between x and y. If the variance of x is 9, find the SD of y. Show Answer


Q190) If the regressive line of y on x and of x on y are given by 2 x + 3 y = -1 and 5 x + 6 y = -1 then the arithmetic means of x and y are given by Show Answer


Q191) If 4 y - 5 x = 15 is the regression line of y on x and the coefficient of correlation between x and y is 0.75, what is the value of the regression coefficient of x on y? Show Answer


Q192) If the relationship between two variables x and y is given by 2 x + 3 y + 4 = 0, then the value of the correlation coefficient between x & y is Show Answer


Q193) If the regression line of y on x and that of x on y are given by y = -2 x + 3 and 8 x = -y + 3 respectively, what is the coefficient of correlation between x and y? Show Answer


Q194) 8 x - 3 y + 7 = 0, 14 x - 7 y + 6 = 0 are two regression equations then the correlation coefficient, r = Show Answer


Q195) If y =3 x + 4 is the regression line of y on x and the arithmetic mean of x is -1, what is the arithmetic mean of y? Show Answer


Q196) Following are the two normal equations obtained for deriving the regression line of y and x: 5 a + 10 b = 40 ; 10 a + 25 b = 95 The regression line of y on x is given by Show Answer


Q197) The following data relate to the heights of 10 pairs of fathers and sons: (175.173), (172,172), (167,171), (168,171), (172.173), (171,170), (174,173), (176,175), (169,170), (170,173) The regression equation of height of son on that of father is given by Show Answer


Q198) The square of coefficient of correlation 'r' is called the coefficient of Show Answer


Q199) Coefficient of determination is computed as Show Answer


Q200) The coefficient of determination is defined by the formula Show Answer


Q201) If the coefficient of correlation between two variables is - 0.2, then the coefficient of determination is Show Answer


Q202) If the coefficient of correlation between two variables is -0.3, then the coefficient of determination is Show Answer


Q203) If the coefficient of correlation between two variables is -0.9, then the coefficient of determination is Show Answer


Q204) The coefficient of correlation between two variables is 0.5, then the coefficient of determination is Show Answer


Q205) If the coefficient of correlation between two variables is 0.6, then the percentage of variation accounted for is Show Answer


Q206) If the coefficient of correlation between two variables is 0.6, then the percentage of variation unaccounted for is Show Answer


Q207) If the coefficient of correlation between two variables is 0.7 then the percentages of variation unaccounted for is Show Answer


Q208) If r = 0.6 then the coefficient of non-determination is Show Answer


Q209) Find the coefficient of correlation when its probable error is 0.2 and the number of pairs of item is 9. Show Answer


Q210) Which of the following is true: Show Answer


Q211) The two regression lines are: 16 x - 20 y + 132 = 0 and 80 x -30 y - 428 = 0, the value of correlation coefficient is Show Answer


Q212) Two regression equations are x + y = 6 and x + 2 y = 10, then correlation coefficient between x and y is Show Answer


Q213) A.M. of regression coefficient is Show Answer


Q214) If the pointed in scatter diagram lie from upper left to lower right, then correlation correlation is Show Answer


Q215) Which of the following is spurious correlation? Show Answer


Q216) Scatter diagram does not help us to? Show Answer


Q217) The covariance between two variables is Show Answer


Q218) The intersecting point of the two regression line: y on x and x on y is Show Answer


Q219) For the set of observation {(1,2),(2,5),(3,7),(4,8),(5,10)} the value of karl-person's coefficient of correlation is approximately given by Show Answer


Q220) The coefficient of correlation between x and y is 0.5 the covariance is 16 and standard deviation of is Show Answer


Q221) The regression coefficients remain unchanged due to Show Answer


Q222) If the sum of the product of the deviation of X and Y from their means is zero the correlation coefficient between X and Y is: Show Answer


Q223) If the slope of the regression line is calculated to be 5.5 and the intercept 15 then the value of Y and X is 6 Is: Show Answer


Q224) The sum of square of any real positive quantities and its reciprocal is never less than: Show Answer


Q225) If the data points of (X,Y) series on a scatter diagram lie along a straight line that goes downwards as X-values move from left to right, then the data exhibit..............correlation. Show Answer


Q226) The intersection point of two regression lines falls at X-axis. If the mean of X-values is 16, the standard deviation of X and Y are respectively 3 and 4, then the mean of Y-values is.
Show Answer


Q227) Karl Pearson Correlation Coefficient method is used for-
Show Answer


Q228) If the plotted point in a scatter diagram lie from lower left to upper right then correction is: Show Answer


Q229) Which of the following is used to find correlation between two qualitative characteristics ? Show Answer


Q230) Scattered diagram is used the plot Show Answer


Q231) The equations of the two lines of regression are 4x+3y+7=0 and 3x+4y+8=0.Find the correlation coefficient between x and y? Show Answer


Q232) The regression equations are 2x+3y+1=0 and 5x+6y+1=0, then Mean of x and y respectively are:
Show Answer


Q233) The coefficient of rank correlation between the ranking of following 6 students in two subjects Mathematics and Statistics is:
Mathematics 3 5 8 4 7 10
Statistics 6 4 9 8 1 2
Show Answer


Q234) Pearson's Correlation coefficient between x and y is:- Show Answer


Q235) Given that Rs=0.4 and n=81 determine the units for the population evaluation coefficient.
Show Answer


Q236) If the regression equation are x+2y-5=0 and 2x+3y-8=0 then the r,x and the mean of y are________respectively. Show Answer


Q237) The regression lines will be perpendicular to each other when the value of r is Show Answer


Q238) If the regression line of y on x and of x on y are given by 10x-290=-20y and 7y-104=-4x.Then the arithmetic means of x and y are given by:
Show Answer


Q239) __________may be defined as the ratio of covariance between the two variable to the product of he standard deviation of the two variables. Show Answer


Q240) If 4y-6x=18 is regression line of y on x and coefficient of correlation between x and y is 0.8.What is the value of regression coefficient of x on y?
Show Answer