Questions

MCQ

🎯

Test yourself on this topic

23 questions · timed · auto-graded

MCQ 11 Mark
For which value of the correlation coefficient $(r),$ the regression coefficient becomes zero $?$
  • A
    $1$
  • B
    $-1$
  • C
    $ 11$
  • $0$
Answer
Correct option: D.
$0$
View full question & answer
MCQ 21 Mark
Which of the following is a regression line of $Y$ on $X$ ?
  • A
    $\hat{y}=a+b x+c x^2$
  • B
    $\hat{x}=c+b y$
  • $\hat{y}=a+b x$
  • D
    $\hat{y}=a+b x^2$
Answer
Correct option: C.
$\hat{y}=a+b x$
View full question & answer
MCQ 31 Mark
Which regression line is used if the sale of a commodity depends on its advertisement cost ?
  • A
    Regression line of advertisement cost on sale
  • B
    Regression line of advertisement cost on advertisement cost
  • Regression line of sales on advertisement cost
  • D
    Regression line of sales on sales
Answer
Correct option: C.
Regression line of sales on advertisement cost
View full question & answer
MCQ 41 Mark
What is error e in estimation in case of line of regression of $Y$ on $X ?$
  • $y – ŷ$
  • B
    $x̂ – ŷ$
  • C
    $x – x̂$
  • D
    $ŷ – x̂$
Answer
Correct option: A.
$y – ŷ$
View full question & answer
MCQ 51 Mark
The regression line always passes which point ?
  • $(x̄, ȳ)$
  • B
    $(0, ȳ)$
  • C
    $(x̄, 0)$
  • D
    $(0, 0)$
Answer
Correct option: A.
$(x̄, ȳ)$
View full question & answer
MCQ 61 Mark
Which of the following is correct ?
  • A
    $b_{y x}=r \cdot \frac{s_x}{s_y}$
  • B
    $b_{y x}=r \cdot \frac{S_y{ }^2}{S_x{ }^2}$
  • C
    $b _{ yx }=\frac{\operatorname{Cov}(x, y)}{S_y^2}$
  • $b _{ yx }= r \cdot \frac{s_y}{s_x}$
Answer
Correct option: D.
$b _{ yx }= r \cdot \frac{s_y}{s_x}$
View full question & answer
MCQ 71 Mark
In usual notation, what is $b_{y x} ?$
  • A
    Intercept
  • B
    Dependent Variable
  • The approximate change in the value of $Y$ for a unit change in the value of $X.$
  • D
    The approximate change in the value of $X$ for a unit change in the value of $Y.$
Answer
Correct option: C.
The approximate change in the value of $Y$ for a unit change in the value of $X.$
View full question & answer
MCQ 81 Mark
The best fitted line of regression can be obtained by which method ?
  • Least Square Method  
  • B
    Karl Pearson’s Method
  • C
    Maximum Square Method
  • D
    Bowley’s Method
Answer
Correct option: A.
Least Square Method  
View full question & answer
MCQ 91 Mark
If $r = 0.8,$ how much part of the total variation in the dependent variable can be explained by the regression model $?$
  • A
    $80\%$
  • $64\%$
  • C
    $36\%$
  • D
    $20\%$
Answer
Correct option: B.
$64\%$
View full question & answer
MCQ 101 Mark
If $u =\frac{x-15}{10}$ and $v =\frac{y-50}{2}$ and $b _{ yx }=7.5$, what is the value of $b _{ vu }$ ?
  • A
    $7.5$
  • B
    $1.5$
  • $37.5$
  • D
    $150$
Answer
Correct option: C.
$37.5$
View full question & answer
MCQ 111 Mark
The regression line of $Y$ on $X$ is $ŷ = 30 – 1.5x.$ What is the value of $ȳ$ if $x̄ = 10 ?$
  • A
    $28.5$
  • B
    $20$
  • $15$
  • D
    $45$
Answer
Correct option: C.
$15$
View full question & answer
MCQ 121 Mark
What is the value of $b_{y x}$ if the regression line is $2 x+3 y-50=0$ ?
  • A
    $\frac{3}{2}$
  • B
    $-\frac{3}{2}$
  • $-\frac{2}{3}$
  • D
    $2$
Answer
Correct option: C.
$-\frac{2}{3}$
View full question & answer
MCQ 131 Mark
If the regression line is  $=10 + 3x,$ what is the estimate of $Y$ for $X = 20 ?$
  • A
    $13$
  • B
    $60$
  • $70$
  • D
    $203$
Answer
Correct option: C.
$70$
View full question & answer
MCQ 141 Mark
What is coefficient of determination in the study of regression for two variables ?
  • A
    Product of two standard deviations
  • Square of correlation coefficient
  • C
    Square of covariance
  • D
    Product of two variances
Answer
Correct option: B.
Square of correlation coefficient
View full question & answer
MCQ 151 Mark
Which of the following indicates the functional relation between the two variables ?
  • A
    Correlation
  • Regression
  • C
    Mean
  • D
    Variance
Answer
Correct option: B.
Regression
View full question & answer
MCQ 161 Mark
Regression co-efficient is $........$ measure.
  • Absolute
  • B
    Relative
  • C
    Average
  • D
    Geometric
Answer
Correct option: A.
Absolute
View full question & answer
MCQ 171 Mark
Which type of mean of regression co-efficient is $........$ measure.
  • A
    Arithmetic  
  • B
    Weighted Average
  • Geometric
  • D
    Harmonic
Answer
Correct option: C.
Geometric
View full question & answer
MCQ 181 Mark
How can we obtain the line of the best fit ?
  • A
    By product moment method
  • By least square method
  • C
    By scatter diagram method
  • D
    By none
Answer
Correct option: B.
By least square method
View full question & answer
MCQ 191 Mark
Which statistician gave the concept of regression ?
  • Sir Francis Galton
  • B
    C.F. Gauss
  • C
    Spearman
  • D
    James Bernauli
Answer
Correct option: A.
Sir Francis Galton
View full question & answer
MCQ 201 Mark
The regression line always passes through which point ?
  • $(\bar{x}, \bar{y})$
  • B
    $(0, \bar{y})$
  • C
    $(\bar{x}, 0)$
  • D
    (0, 0)
Answer
Correct option: A.
$(\bar{x}, \bar{y})$
A
View full question & answer
MCQ 211 Mark
If $r=0.8$, how much part of the total variation in the dependent variable can be explained by the regression model ?
  • A
    $80 \%$
  • $64 \%$
  • C
    $36 \%$
  • D
    $20 \%$
Answer
Correct option: B.
$64 \%$
B
View full question & answer
MCQ 221 Mark
What is the value of $b_{yx}$ if the regression line of Y on X is $2x+3y-50=0$?
  • A
    $\frac{3}{2}$
  • B
    $-\frac{3}{2}$
  • $-\frac{2}{3}$
  • D
    2
Answer
Correct option: C.
$-\frac{2}{3}$
C
View full question & answer
MCQ 231 Mark
Which statistician was the first to use the term regression ?
  • A
    Karl Pearson
  • Sir Francis Galton
  • C
    Spearman
  • D
    C.F. Gauss
Answer
Correct option: B.
Sir Francis Galton
B
View full question & answer
MCQ - Statistics STD 12 Commerce Questions - Vidyadip