If 𝑛 is the number of observations, then the degrees of freedom for the error term in simple linear regression is given by which formula?

• A) 𝑛−1
• B) 𝑛−2
• C) 𝑛−𝑘
• D) 𝑛−3

Which tool is used for comparison of two or more data set if their means are equal

• A) Standard Deviation
• B) Variance
• C) Coefficient of Variation
• D) Both variance & standard deviation

If the value of r is 0.8 ,then the coefficient of determination is

• A) 67%
• B) 75%
• C) 80%
• D) 64%

If two variables have no relationship, then the regression line is

• A) Parallel to x-axis
• B) Downward direction.
• C) Parallel to y-axis
• D) Upward direction

The standard deviation is........

• A) a measure of central tendency
• B) in the same units as the observations
• C) the square root of the variance
• D) twice the standard error

If the graph is very much scattered, then what can be the suitable value of r?

• A) r = 0.1
• B) r = -0.5
• C) r = - 0.9
• D) r = 0.8

A scatterplot of a correlation of .10 would look

• A) circle.
• B) square
• C) straight line.
• D) ellipse

Three year moving averages is

• A) Average of 3 fixed numbers
• B) Sum of 3 fixed numbers
• C) Arithmetic mean of 3 numbers continuously
• D) Sum of 3 numbers continuously

For the regression line passing through origin and a point (4,2), the slope is

• A) 1/2
• B) 2
• C) -2
• D) -(1/2)

Which of the following explains the purpose of calculating the T-statistic in regression analysis?

• A) Compare the sample slope with the population slope and determine the significance of the difference.
• B) Calculate the R-squared value.
• C) Used to estimate the sample mean.
• D) Calculate the correlation between the independent and dependent variables.

If the relationship between the variables is exactly linear, then the mathematical equation describing the liner relation is written as

• A) Y = a + bX.
• B) Y = a + b.
• C) Y = a - bX.
• D) Y = aX - bX.

Variance or standard deviation can be zero only if

• A) all the values in the data are unequal
• B) all the values in the data are in ascending order
• C) all the values in the data form in descending order
• D) all the values in the data are equal

What does the random error in regression analysis represent?

• A) Vertical distance divided by the horizontal distance between any two points on the line.
• B) Total variation in the dependent variable.
• C) Distance of observations from the regression line.
• D) Slope of the regression line.

Larger the measure of dispersion then

• A) Lesser is the spread of data
• B) Greater is the spread of data
• C) No change in the spread of data
• D) Only absolute change in the spread may happen.

A scatterplot of a correlation of .80 would look most like a

• A) straight line.
• B) circle.
• C) square.
• D) ellipse.

Variance gives the average square of deviations from the

• A) Mean
• B) Standard deviation
• C) Median
• D) Mode

Which of the following are the components of time series?

• A) Seasonal variation
• B) Irregular variation
• C) All of these.
• D) Trend

The variance of the 3, 3, 3, 3, 3 is

• A) Half of the range
• B) One
• C) Zero
• D) Twice the standard standard deviation

The regression model explains the __________ between two or more variables in the given population.

• A) Relation
• B) Association
• C) All of these
• D) Connection

y = a + bx, is the equation of

• A) c) Curve
• B) a) Correlation
• C) d) Both a & b
• D) b) Regression