MCQ of REGRESSION AND CORRELATION
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1 MCQ of REGRESSION AND CORRELATION MCQ 14.1 A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called: (a) Correlation (b) Regression (c) Residual (d) Slope MCQ 14.2 The method of least squares dictates that we choose a regression line where the sum of the square of deviations of the points from the lie is: (a) Maximum (b) Minimum (c) Zero (d) Positive MCQ 14.3 A relationship where the flow of the data points is best represented by a curve is called: (a) Linear relationship (b) Nonlinear relationship (c) Linear positive (d) Linear negative MCQ 14.4 All data points falling along a straight line is called: (a) Linear relationship (b) Non linear relationship (c) Residual (d) Scatter diagram MCQ 14.5 The value we would predict for the dependent variable when the independent variables are all equal to zero is called: (a) Slope (b) Sum of residual (c) Intercept (d) Difficult to tell MCQ 14.6 The predicted rate of response of the dependent variable to changes in the independent variable is called: (a) Slope (b) Intercept (c) Error (d) Regression equation MCQ 14.7 The slope of the regression line of Y on X is also called the: (a) Correlation coefficient of X on Y (b) Correlation coefficient of Y on X (c) Regression coefficient of X on Y (d) Regression coefficient of Y on X MCQ 14.8 In simple linear regression, the numbers of unknown constants are: (a) One (b) Two (c) Three (d) Four MCQ 14.9 In simple regression equation, the numbers of variables involved are: (a) 0 (b) 1 (c) 2 (d) 3 MCQ If the value of any regression coefficient is zero, then two variables are: (a) Qualitative (b) Correlation (c) Dependent (d) Independent MCQ The straight line graph of the linear equation Y = a+ bx, slope will be upward if: (a) b = 0 (b) b < 0 (c) b > 0 (b) b 0 MCQ The straight line graph of the linear equation Y = a + bx, slope will be downward If: (a) b > 0 (b) b < 0 (c) b = 0 (d) b 0
2 MCQ The straight line graph of the linear equation Y = a + bx, slope is horizontal if: (a) b = 0 (b) b 0 (c) b = 1 (d) a = b MCQ If regression line of = 5, then value of regression coefficient of Y on X is: (a) 0 (b) 0.5 (c) 1 (d) 5 MCQ If Y = 2-0.2X, then the value of Y intercept is equal to: (a) -0.2 (b) 2 (c) 0.2X (d) All of the above MCQ If one regression coefficient is greater than one, then other will he: (a) More than one (b) Equal to one (c) Less than one (d) Equal to minus one MCQ To determine the height of a person when his weight is given is: (a) Correlation problem (b) Association problem (c) Regression problem (d) Qualitative problem MCQ The dependent variable is also called: (a) Regression (b) Regressand (c) Continuous variable (d) Independent MCQ The dependent variable is also called: (a) Regressand variable (b) Predictand variable (c) Explained variable (d) All of these MCQ The independent variable is also called: (a) Regressor (b) Regressand (c) Predictand (d) Estimated MCQ In the regression equation Y = a+bx, the Y is called: (a) Independent variable (b) Dependent variable (c) Continuous variable (d) None of the above MCQ In the regression equation X = a + by, the X is called: (a) Independent variable (b) Dependent variable (c) Qualitative variable (d) None of the above MCQ In the regression equation Y = a +bx, a is called: (a) X-intercept (b) Y-intercept (c) Dependent variable (d) None of the above MCQ The regression equation always passes through: (a) (X, Y) (b) (a, b) (c) (, ) (d) (, Y) MCQ The independent variable in a regression line is: (a) Non-random variable (b) Random variable (c) Qualitative variable (d) None of the above
3 MCQ The graph showing the paired points of (X i, Y i ) is called: (a) Scatter diagram (b) Histogram (c) Historigram (d) Pie diagram MCQ The graph represents the relationship that is: (a) Linear (b) Non linear (c) Curvilinear (d) No relation MCQ The graph represents the relationship that is.: (a) Linear positive (b) Linear negative (c) Non-linear (d) Curvilinear MCQ When regression line passes through the origin, then: (a) Intercept is zero (b) Regression coefficient is zero (c) Correlation is zero (d) Association is zero MCQ When b XY is positive, then b yx will be: (a) Negative (b) Positive (c) Zero (d) One MCQ The correlation coefficient is the of two regression coefficients: (a) Geometric mean (b) Arithmetic mean (c) Harmonic mean (d) Median MCQ When two regression coefficients bear same algebraic signs, then correlation coefficient is: (a) Positive (b) Negative (c) According to two signs (d) Zero MCQ It is possible that two regression coefficients have: (a) Opposite signs (b) Same signs (c) No sign (d) Difficult to tell MCQ Regression coefficient is independent of: (a) Units of measurement (b) Scale and origin (c) Both (a) and (b) (d) None of them MCQ In the regression line Y = a+ bx: (a) (b) (c) (d) MCQ In the regression line Y = a + bx, the following is always true: (a) (b) (c) (d) MCQ The purpose of simple linear regression analysis is to: (a) Predict one variable from another variable (b) Replace points on a scatter diagram by a straight-line (c) Measure the degree to which two variables are linearly associated (d) Obtain the expected value of the independent random variable for a given value of the dependent variable
4 MCQ The sum of the difference between the actual values of Y and its values obtained from the fitted regression line is always: (a) Zero (b) Positive (c) Negative (d) Minimum MCQ If all the actual and estimated values of Y are same on the regression line, the sum of squares of error will be: (a) Zero (b) Minimum (c) Maximum (d) Unknown MCQ (a) Residual (b) Difference between independent and dependent variables (c) Difference between slope and intercept (d) Sum of residual MCQ A measure of the strength of the linear relationship that exists between two variables is called: (a) Slope (b) Intercept (c) Correlation coefficient (d) Regression equation MCQ When the ratio of variations in the related variables is constant, it is called: (a) Linear correlation (b) Nonlinear correlation (c) Positive correlation (d) Negative correlation MCQ If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be: (a) Positive (b) Negative (c) Zero (d) One MCQ If the points on the scatter diagram indicate that as one variable increases the other variable tends to decrease the value of r will be: (a) Perfect positive (b) Perfect negative (c) Negative (d) Zero MCQ If the points on the scatter diagram show no tendency either to increase together or decrease together the value of r will be close to: (a) -1 (b) +1 (c) 0.5 (d) 0 MCQ If one item is fixed and unchangeable and the other item varies, the correlation coefficient will be: (a) Positive (b) Negative (c) Zero (d) Undecided MCQ In scatter diagram, if most of the points lie in the first and third quadrants, then coefficient of correlation is: (a) Negative (b) Positive (c) Zero (d) All of the above MCQ If the two series move in reverse directions and the variations in their values are always proportionate, it is said to be: (a) Negative correlation (b) Positive correlation (c) Perfect negative correlation (d) Perfect positive correlation
5 MCQ If both the series move in the same direction and the variations are in a fixed proportion, correlation between them is said to be: (a) Perfect correlation (c) Linear correlation (c) Nonlinear correlation (d) Perfect positive correlation MCQ The value of the coefficient of correlation r lies between: (a) 0 and 1 (b) -1 and 0 (c) -1 and +1 (d) -0.5 and +0.5 MCQ If X is measured in yours and Y is measured in minutes, then correlation coefficient has the unit: (a) Hours (b) Minutes (c) Both (a) and (b) (d) No unit MCQ The range of regressioin coefficient is: (a) -1 to +1 (b) 0 to 1 (c) - to + (d) 0 to MCQ The signs of regression coefficients and correlation coefficient are always: (a) Different (b) Same (c) Positive (d) Negative MCQ The arithmetic mean of the two regression coefficients is greater than or equal to: (a) -1 (b) +1 (c) 0 (d) r MCQ In simple linear regression model Y = α + βx + ε where α and β are called: (a) Estimates (b) Parameters (c) Random errors (d) Variables MCQ Negative regression coefficient indicates that the movement of the variables are in: (a) Same direction (b) Opposite direction (c) Both (a) and (b) (d) Difficult to tell MCQ Positive regression coefficient indicates that the movement of the variables are in: (a) Same direction (b) Opposite direction (c) Upward direction (d) Downward direction MCQ If the value of regression coefficient is zero, then the two variable are called: (a) Independent (b) Dependent (c) Both (a) and (b) (d) Difficult to tell MCQ The term regression was used by: (a) Newton (b) Pearson (c) Spearman (d) Galton MCQ In the regression equation Y = a + bx, b is called: (a) Slope (b) Regression coefficient (c) Intercept (d) Both (a) and (b) MCQ When the two regression lines are parallel to each other, then their slopes are: (a) Zero (b) Different (c) Same (d) Positive
6 MCQ The measure of change in dependent variable corresponding to an unit change in independent variable is called: (a) Slope (b) Regression coefficient (c) Both (a) and (b) (d) Neither (a) and (b) MCQ In correlation problem both variables are: (a) Equal (b) Unknown (c) Fixed (d) Random MCQ In the regression equation Y = a + bx, where a and b are called: (a) Constants (b) Estimates (c) Parameters (d) Both (a) and (b) MCQ If b yx = b xy = 1 and S x = S y, then r will be: (a) 0 (b) -1 (c) 1 (d) Difficult to calculate MCQ The correlation coefficient between X and -X is: (a) 0 (b) 0.5 (c) 1 (d) -1 MCQ If b yx = b xy = r xy, then: (a) S x S y (b) S x = S y (c) S x > S y (d) S x < S y MCQ If r xy = 0.4, then r (2x, 2y) is equal to: (a) 0.4 (b) 0.8 (c) 0 (d) 1 MCQ r xy is equal to: (a) 0 (b) -1 (c) 1 (d) 0.5 MCQ If r xy = 0.75, then correlation coefficient between u = 1.5X and v = 2Y is: (a) 0 (b) 0.75 (c) (d) 1.5 MCQ If b yx = -2 and r xy = -1, then b xy is equal to: (a) -1 (b) -2 (c) 0.5 (d) -0.5 MCQ If b yx = 1.6 and b xy = 0.4, then r xy will be: (a) 0.4 (b) 0.64 (c) 0.8 (d) -0.8 MCQ If b yx = -0.8 and b xy = -0.2, then r yx is equal to: (a) -0.2 (b) -0.4 (c) 0.4 (d) -0.8 MCQ If = 6 X, then r will be: (a) 0 (b) 1 (c) -1 (d) Both (b) and (c)
7 MCQ If = X + 10, then r equal to: (a) 1 (b) -1 (c) 1/2 (d) Difficult to tell MCQ If Y = -10X and X = -0.1Y, then r is equal to: (a) 0.1 (b) 1 (c) -1 (d) 10 MCQ If the figure +1 signifies perfect positive correlation and the figure -1 signifies a perfect negative correlation, then the figure 0 signifies: (a) A perfect correlation (b) Uncorrelated variables (c) Not significant (d) Weak correlation MCQ A perfect positive correlation is signified by: (a) 0 (b) -1 (c) +1 (d) -1 to +1 MCQ If a statistics professor tells his class: "All those who got 100 on the statistics test got 20 on the mathematics test, and all those that got 100 on the mathematics test got 20 on the statistics test", he is saying that the correlation between the statistics test and the mathematics test is: (a) Negative (b) Positive (c) Zero (d) Difficult to tell MCQ If is zero, the correlation is: (a) Weak negative (b) High positive (c) High negative (d) None of the preceding MCQ If r xy = 1, then: (a) b yx = b xy (b) b yx > b xy (c) b yx < b xy (d) b yx. b xy = 1 MCQ The relation between the regression coefficient b yx and correlation coefficient r is: MCQ The relation between the regression coefficient b xy and correlation coefficient r is: MCQ 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: (a) Zero (b) Maximum (c) Minimum (d) Undecided MCQ If the coefficient of correlation between the variables X and Y is r, the coefficient of correlation between X 2 and Y 2 is: (a) -1 (b) 1 (c) r (d) r 2 MCQ If r xy = 0.75, then r xy will be: (a) 0.25 (b) 0.50 (c) 0.75 (d) -0.75
8 MCQ If, then b yx is equal to: (a) Positive (b) Negative (c) Zero (d) One MCQ If, then intercept a is equal to: (a) 0 (b) 1 (c) -1 to +1 (d) 0 to 1 MCQ : (a) Less than zero (b) Greater than zero (c) Equal to zero (d) Not equal to zero MCQ When r xy < 0, then b yx and b xy will be: (a) Zero (b) Not equal to zero (c) Less than zero (d) Greater than zero MCQ When r xy > 0, then b yx and b xy are both: (a) 0 (b) < 0 (c) > 0 (d) < 1 MCQ If r xy = 0, then: (a) b yx = 0 (b) b xy = 0 (c) Both (a) and (b) (d) b yx b xy MCQ If b xy = 0.20 and r xy = 0.50, then b yx is equal to: (a) 0.20 (b) 0.25 (c) 0.50 (d) 1.25 MCQ A regression model may be: (a) Linear (b) Non-linear (c) Both (a) and (b) (d) Neither (a) and (b) MCQ If r is negative, we know that: (a) (b) (c) (d)
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