If the number of observations is 5, then the degrees of freedom for the error term in simple linear regression is

• A) 3
• B) 0
• C) 2
• D) 1

Let, Variation (Y) = n*Sum(y^2) – [Sum(y)]^2
Variation (X) = n*Sum(x^2) – [Sum(x)]^2
Then, the following formula of slope
b = {Sum(X*Y) – [ Sum(x)*Sum(y)] }/ Variation (Y)

• A) a)for the regression line Y on X
• B) d)None of these
• C) b)for the regression line X on Y
• D) c)Both (a) and (b)

The sample variance is divided by.

• A) n-1
• B) n
• C) N
• D) N-1

If the estimating equation is Y = a – b X, which of the following is true

• A) There is inverse relationship
• B) The y intercept is b
• C) Slope of line is positive
• D) all of these

Poverty factor increases during the COVID-19 is an example of _________.

• A) None of these.
• B) Irregular variation
• C) Cyclic variation
• D) Seasonal variation

Prices are 100, 110, 120, 130 and Moving averages are 110, 120
Now Actual- Trend are

• A) 110, 120
• B) 0, 0
• C) -10, 10
• D) 10, 20

Value of Correlation coefficient always

• A) between 0 &1
• B) greater than +1
• C) between +1 & -1
• D) lesser than -1

A pattern of variation of a time series that repeats every year is called:

• A) Trend
• B) Seasonal
• C) Cyclical
• D) Secular

The three year moving average from the data points 15,23,19,33 is ___________.

• A) 18,24
• B) 18,25
• C) 19,24
• D) 19,25

The Marks of mathematics on weekly basis for three months
Period Marks Moving Averages
Month 1 Week 1 70
Week 2 60 65
Week 3 65 68.3
Month 2 Week 1 80 75.7
Week 2 82 82.3
Week 3 85 75.7
Month 3 Week 1 60 73.3
Week 2 75 71.7
Week 3 80
The seasonal variations will be ------------

• A) -5 -4.3 2.3 -0.3 8.3 -13.3 3.3
• B) -4 -2.3 3.3 -1.3 2.3 -13.3 3.3
• C) -5 -3.3 4.3 -0.3 9.3 -13.3 3.3
• D) -3 -3.3 5.3 -0.3 7.3 -13.3 4.3

The associations between two variables is said to be near perfect if the value of r is ______ .

• A) 0.6
• B) -0.8
• C) 0.9
• D) -0.5

In scatter diagram, correlation is called negative, if the value of the dependent variable decreases as the value of the independent variable increases.

• A) False
• B) True
• C)
• D)

For Y = a - b X we say that relationship between
Y and X is

• A) direct & linear
• B) indirect & linear
• C) direct & curvilinear
• D) indirect & curvilinear

A relationship between variables that can be represented by a straight line equation is

• A) Simple linear regression model
• B) Population regression model
• C) Non linear equation
• D) Non linear regression model

In excel ABS function returns the absolute value of a number.
What will be the result of the excel command =abs (-5)?

• A) 5.1
• B) -5.1
• C) 5
• D) -5

In a simple linear regression model with the independent variable in cells A2:A5 and the dependent variable in cells B2:B5, what is the correct excel syntax to calculate the slope?

• A) =SLOPE(B2:B5) / SLOPE(A2:A5)
• B) =SLOPE(A2:A5) * SLOPE(B2:B5)
• C) =SLOPE(A2:B5, B2:A5)
• D) =SLOPE(B2:B5, A2:A5)

The value of coefficient of variation can be

• A) Positive
• B) All of the these
• C) Greater than 100
• D) Negative

The following results were obtained from a simple regression analysis:
y = 37.2895 - 1.2024 X
r^2 = .6774 s = .2934

For each unit change in X (independent variable), the estimated change in Y (dependent variable) is equal to

• A) -1.2024
• B) 0.6774
• C) 37.2895
• D) 0.2934

The ratio of the standard deviation of a distribution to the mean of that distribution is referred to as

• A) the expected return
• B) the standard deviation
• C) Coefficient of variation
• D) a probability distribution

The standard deviation of life of a 10 tube lights is 3 months. What will be the variance of the life of tube lights?

• A) 1.5 months2
• B) 9 months
• C) 3 months2
• D) 9 months2