Mcqs (regression and correlation)

1. MCQs
(Regression and Correlation)
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
https://www.slideshare.net/NadeemUddin17
https://nadeemstats.wordpress.com/listofbooks/

2. 1- Suppose X is the number of days on a diet and Y is weight loss in pounds where
n = 4 , x = 20 , x2 = 110 , xy = 132 , y = 24 , y2 = 162
the regression line Y on X will be.
a. 1.20x b. 1.5x c. 2.5x d. None
2- For 25 pairs of values the following computation were made.
x = 125 , y = 100 , xy = 536 , X2 = 650 , Y2 = 464
the Coefficient of Correlation ‘r’ is .
a. 0.99 b. 0.9 c. 1.5 d. None
3- If byx = 0.61 and bxy = 1.36, then coefficient of correlation is
a. 0.5 b. 0.91 c. 0.25 d. None
4- If regression coefficient y on x is – 1.32 and X on y is – 0.63 . the coefficient of
correlation between x and y will be
a. .85 b. 0.36 c. -0.45 d. -0.91

3. 5- Given ; r = 0.87 and d = 0.78 then b would be.
a. 0.98 b. 1.0 c.0.55 d. None
6- Given ; r2 = 0.8 and b = 2.24 then d would be.
a. 0.25 b. 0.36 c. 1.2 d. None
7- If Sxy = 20.9375 , Sx = 1.36 , Sy = 15.77 . then Correlation would be
a. 0.36 b. -0.98 c. 0.98 d. None
8- If Sxy = 167.5 . S2 x = 14.71 , S2 y = 1990 , find b , d and correlation.
a. 12,2,0.55 b. 12.5,0.84,0.98 c. 2,3,0.5 d. 11.39,0.084,0.98
9- If r = 0.8626 , Sy = 49.64 , Sx = 31.15 , find b and d.
a. 0.53 , 1.41 b. 0.6,1.14 c. 0.7,2.14 d. None

4. 10- What will be the value of standard error if all the observed values fall on
regression line.
a.0 b. negative c. 1 d. None
11- State whether you would expect a positive, negative, or no correlation in
Shoes size and IQ
a. No correlation b. negative correlation
c. positive correlation d. None
12- State whether you would expect a positive, negative, or no correlation in the
weight of the load of trucks and their petrol consumption
a. No correlation b. negative correlation
c. positive correlation d. None
13- State whether you would expect a positive, negative, or no correlation in the
age of husbands and wives
a. No correlation b. negative correlation
c. positive correlation d. None

5. 14- State whether you would expect a positive, negative, or no correlation in the
amount of rubber on tires and the number of miles they have been driven.
a. No correlation b. negative correlation
c. positive correlation d. None
15- The limit of correlation is
a. -1 to +1 b. 0 to 1 c. 1 to 2 d. None
16- The geometric mean of the regression coefficients is
a. No correlation b. correlation c. 1 d. None
17- Correlation is unaffected by the change of
a. origin b. scale c. origin and scale d. all
18- If the relationship between the two variables is directly proportional then the
correlation would be
a. zero b. ± ve c. -ve d. +ve

6. 19- If the relationship between the two variables is inversely proportional then the
correlation would be
a. zero b. ± ve c. -ve d. +ve
20- If the correlation coefficient is zero then the variables are
a. zero b. random c. -ve d. +ve
21- The regression line y = a + bx, where b is
a. zero b. random c. y- intercept d. slope
22- The regression line y = a + bx, where a is
a. zero b. random c. y- intercept d. slope
23. If b and d are positive, then ‘r’ will be
a. zero b. positive c. negative d. slope

7. 24- If b and d are negative, then ‘r’ will be
a. zero b. positive c. negative d. slope
1-a 5-a 9-a 13-c 17-c 21-d
2-b 6-b 10-a 14-b 18-d 22-c
3-c 7-c 11-a 15-a 19-c 23-b
4-d 8-d 12-c 16-b 20-b 24-c
Answers