Statastical_method_MCQ to prepare stat for Exam. PDF

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This is stat MCq preparation material by Veer Narmad South Gujarat University....

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Questions A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called: 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 line is: A relationship where the flow of the data points is best represented by a curve is called: All data points falling along a straight line is called: The value we would predict for the dependent variable when the independent variables are all equal to zero is called:

A

B

C

D

Correlation

Regression

Residual

Slope

Maximum

Minimum

Zero

Positive

Linear relationship

Nonlinear relationship

Linear positive

Linear negative

Linear relationship

Non linear relationship

Residual

Scatter diagram

Slope

Sum of residual

Intercept

Difficult to tell

Correlation coefficient of X on Y

Correlation coefficient of Y on X

Regression coefficient of X on Y

Regression coefficient of Y on X

One

Two

Three

Four

0

1

2

3

Qualitative

Correlated

Dependent

Independent

b0

b=0

none of these

b=1

b=0

a=b

none of these

0.5

0

1

5

-0.2

2

0.2x

all of these

More than one More than one

Equal to minus one Equal to minus one

0.5

0

1

5

-0.2

2

0.2x

all of these

The dependent variable is also called:

Regression

Independent

Regressand

20

To determine the height of a person when his weight is given is: The independent variable is also called:

21

The dependent variable is also called:

Correlation problem Regressor Regressand variable Independent variable Independent variable

Association problem Estimated Predictand variable Dependent variable Dependent variable

Regression problem Regressand Explained variable Continuous variable Continuous variable

1

2

3 4 5

6 7 8 9 10 11 12 13 14 15 16 17 18 19

22 23

The slope of the regression line of Y on X is also called the: In simple linear regression, the numbers of unknown constants are: In simple regression equation, the numbers of variables involved are: If the value of any regression coefficient is zero, then two variables are: The straight line graph of the linear equation Y = a + bX, slope will be downward If: The straight line graph of the linear equation Y = a + bX, slope is horizontal if: If regression line of y= 5, then value of regression coefficient of Y on X is: If Y = 2 - 0.2X, then the value of Y intercept is equal to: If one regression coefficient is greater than one, then other will he: If one regression coefficient is less than minus one, then other will he: If regression line of y= 5, then value of intercept of regression line Y on X is: If Y = 2 - 0.2X, then value of regression coefficient of Y on X is:

In the regression equation Y = a+bX, the Y is called: In the regression equation Y = a+bX, the X is called:

Equal to one Equal to one

Less than one More than minus one

Continuous variable qualitative problem Predctand All of these None of the above None of the above

24 25 26 27 28 29 30

31

32 33

34

35

36

37

38

39

40

In the regression equation Y = a +bX, a is called: The regression lines always pass through point:

X-intercept

Y-intercept

Dependent variable

(X, Y)

(x-bar, y-bar)

(a, b)

When regression line passes through the origin, then:

Intercept is zero

When bxy is positive, then byx will be: When bxy is positive, then r will be: The correlation coefficient is the_______of two regression coefficients: The correlation coefficient is the_______of two regression coefficients:

Negative Negative Geometric mean Arithmetic mean

When two regression coefficients bear same algebraic signs, then correlation coefficient is:

Negative

It is only possible that two regression coefficients have: Regression coefficient is independent of change of:

The purpose of simple linear regression analysis is to:

A measure of the strength of the linear relationship that exists between two variables is called: If both variables X and Y increase or decrease simultaneously, then the coefficient of correlation will be: 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: 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: If one item is fixed and unchangeable and the other item varies, the correlation coefficient will be: If the two series move in reverse directions and the variations in their values are always proportionate, it is said to be:

Regression coefficient is zero Positive Positive Arithmetic mean Harmonic mean According to the signs of regression coefficients

None of the above none of these

Correlation is zero

Association is zero

Zero Zero Harmonic mean

One One Median

Median

none of these

Positive

Zero

Opposite signs

No sign

Same signs

Difficult to tell None of them Obtain the expected value of the dependent random variable for a given value of the independent variable

Origin

Scale

Scale and origin

none of these

Replace points on a scatter diagram by a straight-line

Measure the degree to which two variables are linearly associated

Intercept

Correlation coefficient

Slope

Regression equation

Negative

Zero

Positive

One

Perfect positive

positive

Negative

Zero

-1

1

0.5

0

Positive

Negative

Zero

Undecided

Negative correlation

Positive correlation

Perfect negative correlation

Perfect positive correlation

41 42 43 44 45 46 47

If the two series move in same directions and the variations in their values are always proportionate, it is said to be: The value of the coefficient of correlation r lies between: If X is measured in hours and Y is measured in minutes, then correlation coefficient has the unit: The range of regressioin coefficient is: The signs of regression coefficients and correlation coefficient are always: Negative regression coefficient indicates that the movement of the variables are in: Positive regression coefficient indicates that the movement of the variables are in:

Negative correlation

Positive correlation

Perfect negative correlation

Perfect positive correlation

(1, 0)

(-1, 0)

(-1, 1)

(-0.5, 0.5)

Hours

No unit

Minutes

Both units

(-1, 1)

(0, 1)

(-?, ?)

(0, ?)

Different

Same

Positive

Negative

Same direction Same direction

Opposite direction Opposite direction

Difficult to tell Difficult to tell

anything anything Difficult to say Difficult to say

48

If byx = bxy = 1 and Sx = Sy, then r will be:

0

1

-1

49

If byx = bxy = -1 , then r will be:

0

1

-1

0

0.5

1

-1

Sx?Sy

Sx>Sy

Sx = Sy

Sxbxy

byx 0, then byx and bxy will be:

67

If rxy = 0, then: If bxy = 0.20 and rxy = 0.50, then byx is equal to:

68

69

70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85

86

The correlation coefficient is used to determine:

The scatteredness in a series of values about the average is called: The measurements of spread or scatter of the individual values around the central point is called: The degree to which numerical data tend to spread about an average value called: The measures of dispersion can never be: If all the scores on examination cluster around the mean, the dispersion is said to be: If there are many extreme scores on all examination, the dispersion is: Given below the four sets of observations. Which set has the minimum variation? The measure of dispersion which uses only two observations is called: The range of the scores 29, 3, 143, 27, 99 is: If the observations of a variable X are, -4, 20, -30, -44 and -36, then the value of the range will be: The range of the values -5, -8, -10, 0, 6, 10 is: If the maximum value in a series is 25 and its range is 15, the minimum value of the series is: Half of the difference between upper and lower quartiles is called: If Q3=20 and Q1=10, the coefficient of quartile deviation is: The average of squared deviations from mean is called: Which of the following measures of dispersion is expressed in the same units as the units of observation? Which measure of dispersion has a different unit other than the unit of measurement of values:

Not equal to zero Not equal to zero byx = 0

byx ?bxy

Less than zero Less than zero bxy = 0

Greater than zero Greater than zero byx = 0 = bxy

0.2

0.25

0.5

1.25

A specific value of the y-variable given a specific value of the x-variable Central tendency

A specific value of the x-variable given a specific value of the yvariable

The strength of the linear relationship between the x and y variables

None of these

Dispersion

Skewness

Symmetry

Measures of dispersion

Measures of central tendency

Measures of skewness

Measures of kurtosis

Constant

Flatness

Variation

Skewness

Positive

Zero

Negative

Equal to 2

Small

Large

Normal

Symmetrical

Large

Small

Normal

Symmetric

46, 48, 50, 52, 54

30, 40, 50, 60, 70 Quartile deviation

40, 50, 60, 70, 80 Mean deviation

48, 49, 50, 51, 52 Standard deviation

140

143

146

70

-48

40

-40

48

0

10

-10

20

10

15

25

40

Interquartile range

Quartile deviation

Mean deviation

Standard deviation

3

0.3333

0.6666

1

Mean deviation

Variance

Standard deviation

Variance

Standard deviation

Coefficient of variation

Coefficient of variation Coefficient of standard deviation

Range

Standard deviation

Variance

Range

Zero Zero

Mean deviation

87 88 89 90

If the dispersion is small, the standard deviation is: The value of standard deviation changes by a change of: The value of standard deviation remains unchanged by a change of: If there are ten values each equal to 10, then standard deviation of these values is:

91

The standard deviation is independent of:

92

The ratio of the standard deviation to the arithmetic mean expressed as a percentage is called:

93

To compare the variation of two or more than two series, we use

94 95 96 97

98

99

100

101

102

103

The standard deviation of -5, -5, -5, -5, -5 is: Standard deviation is always calculated from: Mean deviation is always calculated from: The mean of an examination is 69, the median is 68, the mode is 67, and the standard deviation is 3. The measure of variation for this examination is: The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is: Three factories A, B, C have 100, 200 and 300 workers respectively. The mean of the wages is the same in the three factories. Which of the following statements is true? An automobile manufacturer obtains data concerning the sales of six of its deals in the last week of 1996. The results indicate the standard deviation of their sales equals 6 autos. If this is so, the variance of their sales equals: An automobile manufacturer obtains data concerning the sales of six of its deals in the last week of 1996. The results indicate that their sales variance equals 36 autos sq. If this is so, the standard deviation of their sales equals: If mean is Rs.20, S= Rs.10, then coefficient of variation is: Any measure indicating the centre of a set of data, arranged in an increasing or decreasing order of magnitude, is called a measure of:

Large

Zero

Origin

Scale

Origin

Scale

100

20

10

Change of origin

Change of scale of measurement

Change of Difficult to origin and tell scale of measurement

Coefficient of skewness

Coefficient of kurtosis

Coefficient of variation

Corrected standard deviation

Coefficient of variation

Coefficient of skewness

-5

5

0

-25

Mean

Median

Mode

Mean

Median

Mode

Lower quartile any of these

67

68

69

3

Greater than 8

8

Less than 8

8-5=3

There is greater variation in factory C.

Standard deviation in factory A is the smallest.

Standard deviation in all the three factories are equal

None of the above

6

01-Jun

0.333

36

6

01-Jun

1296

36

45%

50%

60%

65%

Skewness

Symmetry

Central tendency

Dispersion

Coefficient of standard deviation Combined standard deviation

Small Algebraic signs Algebraic signs

Negative None None 0

104 105 106

Scores that differ greatly from the measures of central tendency are called: The measure of central tendency listed below is: The total of all the observations divided by the number of observations is called:

Raw scores The raw score Arithmetic mean

The best scores

Extreme scores

The mean

The range

Geometric mean

Median

Z-scores Standard deviation Harmonic mean Lower and upper quartiles Constant Sampling unit

107

Change of origin and scale is used for calculation of the:

Arithmetic mean

Geometric mean

Weighted mean

108

The sample mean is a: The population mean ? is called:

110

The arithmetic mean is highly affected by:

Statistics Continuous variable Extreme values

Variable

109

Parameter Discrete variable Moderate values

Odd values

we can't say

Subtracting the constant

Adding the constant

Multiplying the constant

Dividing the constant

Subtracting the constant

Adding the constant

Multiplying the constant

Dividing the constant

The mean has an effect on extreme scores Lowering the mean Lowering the mean

The median has an effect on extreme scores Raising the mean Raising the mean

Extreme scores have an effect on the mean

Extreme scores have an effect on the median None of the above None of the above

Zero

Maximum

Minimum

All of these

20

25

-20

35

0

3

100

200

Arithmetic mean

Geometric mean

Weighted mean

Harmonic mean

10

20

200

20+10

2

10

12

20

3

7

5

10

Zero

Infinity

Impossible

Difficult to tell

10

1.1

10.1

11

n(n+ 1) / 2

(n+ 1) / 2

n/2

(n+ 1) / 4

Mean

Median

Mode

Geometric mean

111

112

113

114 115 116 117 118 119 120 121 122 123 124 125 126

If a constant value is added to every observation of data, then arithmetic mean is obtained by If a constant value is subtracted from every observation of data, then arithmetic mean is obtained by Which of the following statements is always true? The elimination of extreme scores at the bottom of the set has the effect of: The elimination of extreme scores at the top of the set has the effect of: The sum of the squares of the deviations about mean is: For a certain distribution, if ?(X -20) = 25, ?(X- 25) =0, then mean is equal to If mean of X is 100 and Y=2X – 200, then mean of Y values will be: Step deviation method or coding method is used for computation of the: If the arithmetic mean of 20 values is 10, then sum of these 20 values is: Ten families have an average of 2 boys. How many boys do they have together? If the arithmetic mean of the two numbers X1 and X2 is 5 if X1=3, then X2 is: Given X1=20 and X2= -20. The arithmetic mean will be: The mean of 10 observations is 10. All the observations are increased by 10%. The mean of increased observations will be: The sample mean of first n natural numbers is: The suitable average for qualitative data is:

Parameter

No effect No effect

They may have no effect on it

They may tend to raise it

They may tend to lower it

None of the these

Mean

Median

Mode

G...