MCQ Bank
Equation for the slope of regression line is …………………………
- A) $$b = \frac{{n\sum xy}}{{n\sum {x^2}}}$$
- B) $$b = \frac{{n\sum xy - (\sum x)(\sum y)}}{{n\sum {x^2} - {{(\sum x)}^2}}}$$
- C) $$b = \frac{{n\sum xy + (\sum x)(\sum y)}}{{n\sum {x^2} + {{(\sum x)}^2}}}$$
- D) $$b = \frac{{(\sum x)(\sum y)}}{{{{(\sum x)}^2}}}$$
If y = 2+0.6x, then the slope of line will be . . . . . .
- A) 0.6
- B) y
- C) x
- D) 2
If the value of r is zero then the graph of the data points shows
- A) evenly skewness
- B) positively scattered
- C) no associations
- D) negative associations
When there is no linear correlation between two variables, what will the value of r be?
- A) -1
- B) 0
- C) +1
- D) a very small negative number
The mean number of apples in each carton is 25. What is total number of apples in 10 cartons?
- A) 25
- B) 2.5
- C) 250
- D) 5
Plot scatter diagram helps us in finding the relationship b/w
- A) Constant & a variable
- B) Two variables
- C) Median & Mode
- D) Three variables
The population standard deviation is denoted by.
- A) $\sigma^2$
- B) $s$
- C) $\sigma$
- D) $\mu$
In the scatter diagram, clustering of points around a straight line indicates
- A) non-linear regression
- B) none of these
- C) linear regression
- D) curvilinear regression
Which type of plot is used to identify the relationship between dependent and independent variables.
- A) Histogram
- B) Scatterplot
- C) Bar plot
- D) Line plot
If the regression equation is equal to 23.6 - 54.2X, then 23.6 is the _________ while -54.2 is the ________ of the regression line
- A) slope, regression coefficient
- B) slope, intercept
- C) radius, intercept
- D) intercept, slope
If the estimating equation is Y = a – b X ,Which of the following is true
- A) c) There is inverse relationship
- B) b) Slope of line is negative
- C) a)The y intercept is’b’
- D) d) b & c
The vertical distance divided by the horizontal distance between any two points on the line is said to be
- A) x-intercept
- B) slope
- C) tangent
- D) y-intercept
Regression line always passes through
- A) Mean of data
- B) None
- C) Median of data
- D) Both i. & ii.
If there is a indirect relationship between rainfall & yield of crops then
- A) Yield is higher if rainfall is higher
- B) Yield is lower if rainfall is less
- C) Yield is equal to rainfall
- D) Yield is higher if rainfall is less
In what range does correlation coefficient lie?
- A) -1 to 0
- B) 0 to +1
- C) greater than 1
- D) -1 to +1
What does it mean if the correlation coefficient is close to zero?
- A) Strong positive correlation
- B) No relationship between variables
- C) Perfect negative correlation
- D) Perfect positive correlation
If the correlation coefficient is 0, what does it imply about the relationship between two variables?
- A) Non-linear relationship
- B) Perfect positive relationship
- C) Perfect negative relationship
- D) No relationship
The value of the correlation coefficient lies in
- A) (-1,1)
- B) [0,1]
- C) [-1,1]
- D) [-1,0]
If the standard deviation is small, then many data points will be --------------.
- A) Far away from the mean
- B) Vanished.
- C) Very close to the mean
- D) On the mean point
The coefficient of variation (CV) of a data A is equal to $-0.54$ while data B is equal to $0.32$. Which dataset is considered to be more consistent?
- A) can’t conclude
- B) Data B
- C) CV cannot be negative
- D) Data A