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26 questions · timed · auto-graded

MCQ 11 Mark
Which of the following values is not possible as a value of $r\ ?$
  • A
    $0.99$
  • $-1.07$
  • C
    $-0.85$
  • D
    $0$
Answer
Correct option: B.
$-1.07$
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MCQ 21 Mark
What does the numerator indicate in the formula for calculating the correlation coefficient by Karl Pearson’s method ?
  • A
    Product of variance of $X$ and $Y$
  • Covariance of $X$ and $Y$
  • C
    Variance of $X$
  • D
    Variance of $Y$
Answer
Correct option: B.
Covariance of $X$ and $Y$
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MCQ 31 Mark
Which kind of the correlation can be obtained if the two variables are varying in opposite direction in constant proportion ?
  • A
    Perfect Positive correlation
  • Partial Positive correlation
  • C
    Perfect Negative correlation
  • D
    Partial Negative correlation
Answer
Correct option: B.
Partial Positive correlation
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MCQ 41 Mark
The measurement unit of a variable ‘Weight’ is kg. and that of ‘Height’ is cm. What can you see about the measurement unit of the correlation coefficient between them ?
  • A
    kg
  • B
    cm
  • C
    km
  • does not have any unit
Answer
Correct option: D.
does not have any unit
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MCQ 51 Mark
What is the range of the correlation coefficient $r ?$
  • A
    $-1 < r < 1$
  • B
    $0$ to $1$
  • $– 1 ≤ r ≤ 1$
  • D
    $ – 1$ to $0$
Answer
Correct option: C.
$– 1 ≤ r ≤ 1$
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MCQ 61 Mark
Which kind of the correlation exists if the following scatter diagram is of two variables $X$ and $Y ?$
Image
  • A
    Perfect Positive correlation
  • B
    Partial Positive correlation
  • C
    Perfect Negative correlation
  • Partial Negative correlation
Answer
Correct option: D.
Partial Negative correlation
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MCQ 71 Mark
Which kind of the correlation exists if the following scatter diagram is of two variables $X$ and $Y ?$
Image
  • Perfect Positive Correlation
  • B
    Partial Positive Correlation
  • C
    Perfect Negative Correlation
  • D
    Partial Negative Correlation
Answer
Correct option: A.
Perfect Positive Correlation
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MCQ 81 Mark
Which kind of correlation will you get between the number of units sold and its revenue at constant price ?
  • Perfect Positive
  • B
    Partial Positive
  • C
    Perfect Negative
  • D
    Partial Negative
Answer
Correct option: A.
Perfect Positive
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MCQ 91 Mark
In usual notations, which term is added in $\sum d ^2$ for each repeated observation in the rank correlation ?
  • A
    $\frac{m^2-1}{12}$
  • $\frac{m^3-m}{12}$
  • C
    $\frac{6 m^3-m}{12}$
  • D
    $n\left(n^2-1\right)$
Answer
Correct option: B.
$\frac{m^3-m}{12}$
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MCQ 101 Mark
In the method of rank correlation, if the ranks of two variables are exactly in reverse order, then what is the value of $r ?$
  • A
    $r = 0$
  • $r = – 1$
  • C
    $r = 1$
  • D
    $r = 0.1$
Answer
Correct option: B.
$r = – 1$
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MCQ 111 Mark
In the method of rank correlation, what is the sum of differences of the ranks of two variables ?
  • $0$
  • B
    $– 1$
  • C
    $1$
  • D
    Any real number
Answer
Correct option: A.
$0$
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MCQ 121 Mark
In the method of rank correlation, in usual notations if $Rx = Ry$ for each pair of observations then what is the value of the $r ?$
  • A
    $0$
  • B
    $-1$
  • $1$
  • D
    $0.1$
Answer
Correct option: C.
$1$
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MCQ 131 Mark
What is the value of the rank correlation coefficient if $\sum d^2 = 0 ?$
  • A
    $0$
  • B
    $-1$
  • $1$
  • D
    $0.5$
Answer
Correct option: C.
$1$
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MCQ 141 Mark
If $r(-x, y) = 0.5$ then what is the value of $r(x, -y) ?$
  • A
    $0.5$
  • $-0.5$
  • C
    $1$
  • D
    $0$
Answer
Correct option: B.
$-0.5$
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MCQ 151 Mark
If $r(x, y) = 0.7$ then what is the value of $r(x + 0.2, y + 0.2) ?$
  • $0.7$
  • B
    $0.9$
  • C
    $1.1$
  • D
    $-0.7$
Answer
Correct option: A.
$0.7$
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MCQ 161 Mark
If $u =\frac{x- A }{ C _x}$ and $v =\frac{y-B}{C_y}, C _{ x }>0, C _{ y }>0$, then which of the following statement is correct ?
  • A
    $r (x, y) \neq r (u, v)$
  • B
    $r (x, y) > r (u, v)$
  • $r(x, y) = r (u, v)$
  • D
    $r (x, y) < r(u, v)$
Answer
Correct option: C.
$r(x, y) = r (u, v)$
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MCQ 171 Mark
In context with correlation, what do you call the graph, if the points or paired observation $(x, y)$ are shown in a graph $?$
  • A
    Histogram
  • B
    Circle diagram
  • Scatter diagram
  • D
    Frequency curve
Answer
Correct option: C.
Scatter diagram
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MCQ 181 Mark
Which type of measurement is correlation co-efficient?
  • Absolute
  • B
    Average
  • C
    Relative
  • D
    Ratio
Answer
Correct option: A.
Absolute
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MCQ 191 Mark
What is the value of $r,$ if all the points plotted in a scatter diagram lie on a single line only ?
  • A
    $0$
  • $1$ or $– 1$
  • C
    $0.5$
  • D
    $– 0.5$
Answer
Correct option: B.
$1$ or $– 1$
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MCQ 211 Mark
In the method of rank correlation, in usual notations if $R_{x} = R_{y}$ for each pair of observations then what is the value of the r ?
  • A
    $0$
  • B
    -1
  • 1
  • D
    0.1
Answer
Correct option: C.
1
C
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MCQ 221 Mark
What is the value of the rank correlation coefficient if $\sum d^{2}=0$ ?
  • A
    $0$
  • B
    -1
  • 1
  • D
    0.5
Answer
Correct option: C.
1
C
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MCQ 231 Mark
In the method of rank correlation, what is the sum of difference of the ranks of two variables ?
  • $0$
  • B
    - 1
  • C
    1
  • D
    Any real number
Answer
Correct option: A.
$0$
A
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MCQ 241 Mark
What is the value of r, if all the points - plotted in the scatter diagram lie on a single straight line only ?
  • A
    $0$
  • 1 or - 1
  • C
    0.5
  • D
    -0.5
Answer
Correct option: B.
1 or - 1
B
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MCQ 251 Mark
What is the value of the rank correlation coefficient if sum of squares of difference in the ranks $\Sigma d^{2}=0$ ?
  • A
    $0$
  • B
    -1
  • 1
  • D
    0.5
Answer
Correct option: C.
1
C
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MCQ 261 Mark
Which of the following values is not possible as a value of correlation coefficient ?
  • A
    0.99
  • -1.07
  • C
    -0.85
  • D
    $0$
Answer
Correct option: B.
-1.07
B
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MCQ - Statistics STD 12 Commerce Questions - Vidyadip