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PART 1 : LINEAR CORRELATION · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 18 questions.

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18 questions · timed · auto-graded

MCQ 11 Mark
What is the value of rank correlation coefficient if $n=10$ and $3 \Sigma d^2=495\ ?$
  • A
    $-1$
  • ✓
    $0$
  • C
    $0.5$
  • D
    $1$
Answer
Correct option: B.
$0$
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MCQ 21 Mark
What is the value of rank correlation coefficient if the value of $n\left(n^2-1\right)$ is $12$ times $\Sigma d^2$ ?
  • A
    $-0.5$
  • B
    $-1$
  • ✓
    $0.5$
  • D
    $1$
Answer
Correct option: C.
$0.5$
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MCQ 31 Mark
What is the value of $C F$ in the calculation of rank correlation coefficient, if one observation is repeated twice in series $X$, one observation is repeated thrice in series $Y$ and the rest of the observations come once ?
  • A
    $0.5$
  • B
    $2$
  • C
    $5$
  • ✓
    $2.5$
Answer
Correct option: D.
$2.5$
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MCQ 41 Mark
What is the value of $\Sigma d$ if the ranks of two correlated variables $X$ and $Y$ are exactly in the reverse order?
  • A
    $1.1$
  • B
    $1$
  • ✓
    $0$
  • D
    $-1$
Answer
Correct option: C.
$0$
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MCQ 51 Mark
What is the value of $r$ if the ranks of two correlated variables $X$ and $Y$ are same ?
  • A
    $-1$
  • B
    $0$
  • ✓
    $1$
  • D
    $1.1$
Answer
Correct option: C.
$1$
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MCQ 61 Mark
In which of the following methods, the actual observations are not used to find correlation coefficient?
  • A
    Scatter diagram method
  • B
    Karl Pearson's method
  • ✓
    Spearman's method
  • D
    Bowley's method
Answer
Correct option: C.
Spearman's method
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MCQ 71 Mark
In which method can the effect of the extreme observations be seen on the correlation coefficient ?
  • ✓
    Karl Pearson's method
  • B
    Scatter diagram method
  • C
    Bowley's method
  • D
    Spearman's method
Answer
Correct option: A.
Karl Pearson's method
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MCQ 81 Mark
Which method is used to find correlation coefficient when the data is in the form of a bivariate frequency distribution ?
  • A
    Scatter diagram method
  • ✓
    Karl Pearson's method
  • C
    Spearman's method
  • D
    Fisher's method
Answer
Correct option: B.
Karl Pearson's method
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MCQ 91 Mark
Which kind of correlation can be seen between two variables, if $|r|<1$ ?
  • ✓
    Partial correlation
  • B
    Perfect correlation
  • C
    Nonsense correlation
  • D
    Quadratic correlation
Answer
Correct option: A.
Partial correlation
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MCQ 101 Mark
Which is the best method to find correlation coefficient ?
  • A
    Scatter diagram method
  • ✓
    Karl Pearson's method
  • C
    Spearman's method
  • D
    Laspeyre's method
Answer
Correct option: B.
Karl Pearson's method
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MCQ 111 Mark
Who was the first person to suggest the measure of correlation?
  • ✓
    Karl Pearson
  • B
    Spearman
  • C
    C. F. Gauss
  • D
    Fisher
Answer
Correct option: A.
Karl Pearson
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MCQ 121 Mark
Which kind of correlation exists between the temperature of a city in the month of December and the number of accidents in the same month ?
  • A
    Positive correlation
  • B
    Negative correlation
  • ✓
    Nonsense correlation
  • D
    Partial correlation
Answer
Correct option: C.
Nonsense correlation
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MCQ 131 Mark
If $r(x,-y)=-0.6$ then what is the value of $r\left(\frac{-x}{3},-2 y\right)$ ?
  • A
    $-0.6$
  • B
    $-0.4$
  • C
    $0.4$
  • ✓
    $0.6$
Answer
Correct option: D.
$0.6$
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MCQ 141 Mark
What will be the value of $r$ if there is perfect negative correlation between two variables $?$
  • ✓
    $-1$
  • B
    $0$
  • C
    $1$
  • D
    between $-1$ to $+1$
Answer
Correct option: A.
$-1$
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MCQ 151 Mark
Which kind of correlation exists between two variables if the points on a scatter diagram lie around some line which is going in downward direction from left to right ?
  • A
    Perfect positive correlation
  • B
    Perfect negative correlation
  • C
    Partial positive correlation
  • ✓
    Partial negative correlation
Answer
Correct option: D.
Partial negative correlation
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MCQ 161 Mark
Which kind of correlation exists between the radius and diameter of a circle ?
  • A
    Perfect negative correlation
  • ✓
    Perfect positive correlation
  • C
    Partial positive correlation
  • D
    Partial negative correlation
Answer
Correct option: B.
Perfect positive correlation
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MCQ 171 Mark
Which kind of correlation can be obtained if the values of two variables are varying in the same direction in constant proportion ?
  • ✓
    Perfect positive correlation
  • B
    Perfect negative correlation
  • C
    Partial positive correlation
  • D
    Partial negative correlation
Answer
Correct option: A.
Perfect positive correlation
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MCQ 181 Mark
Which is the simplest method to know the nature of correlation between two variables?
  • ✓
    Scatter diagram method
  • B
    Karl Pearson's method
  • C
    Spearman's method
  • D
    Paasche's method
Answer
Correct option: A.
Scatter diagram method
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MCQ - Statistics STD 12 Commerce Questions - Vidyadip