In the regression line equation Y = a + bX;\,\,a\, is called the _______.

• A) None of these
• B) Y-intercept
• C) X-intercept
• D) Slope

Intercept of the regression line can be defined using the equation a = Y - bX

• A) True
• B) False
• C)
• D)

Given a linear regression model with a slope of -0.8 and an intercept of 7, what is the predicted y-value when x is 12?

• A) 5.6
• B) 3.6
• C) 8.6
• D) -2.6

The formula \frac{{{\text{sample slope}} - {\text{population slope}}}}{{{\text{standard error}}}} in regression analysis is used for calculating

• A) Random error
• B) Degrees of freedom
• C) T-statistic
• D) Standard error of mean

If the regression line is Y = 8 – 5X, then “8” is the ………. and “-5” is the …………… of the regression line.

• A) Slope, intercept
• B) Slope, regression coefficient
• C) Radius, intercept
• D) Intercept, slope

If sx=2. sy = 4 and sxy =10 then correlation coefficient ‘r ‘is

• A) 3.54
• B) 1.25
• C) 0.80
• D) 1.12

If a = 10 . b = 1 . then an estimating regression line is

• A) Y = 10 + 10X.
• B) Y = 1 + 10X.
• C) Y = 10 + X.
• D) Y = 10 - X.

If for a regression line of a given data set, intercept =5, \[\bar Y = 10,\,\,\,\,\bar X = 5\] then the value of slope will be equal to …………

• A) 5/9
• B) 9/5
• C) 5
• D) 1

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) CV cannot be negative
• B) Data A
• C) Data B
• D) can’t conclude

If the mean between four numbers: 2, x, y, 3 is ‘3’ then the mean of ‘x’ and ‘y’ is

• A) 2
• B) 1.50
• C) 3.50
• D) 7

For a frequency distribution of a data we have a significant class interval: 50-54 then its class mid point is

• A) 27
• B) 2
• C) 52
• D) 25

For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73, number of classes selected between 5 and 15 Then class width will be

• A) 5
• B) All options 1,2 ,3 are possible.
• C) 13
• D) 8

A Linear line always represent …….. graph.

• A) sector
• B) conversion
• C) line
• D) circle

The Marks of mathematics on weekly basis for three months Period Marks Moving Averages Month 1 Week 1 70 Week 2 60 ? Week 3 65 ? Month 2 Week 1 80 ? Week 2 82 ? Week 3 85 ? Month 3 Week 1 60 ? Week 2 75 ? Week 3 80 The Moving Averages will be ------------

• A) 65 68.3 70 72 73 73.3 71.7
• B) 65 68.3 75.7 82.3 75.7 73.3 71.7
• C) 65 70 75.7 82.3 71 72 71.7
• D) 65 71 73 82.3 75.7 73.3 71.7

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

For a data, if mean > median then its distribution is

• A) asymmetrical
• B) symmetrical
• C) right asymmetrical
• D) left asymmetrical

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

• A) 80%
• B) 75%
• C) 64%
• D) 67%

The moving averages of the Prices 20, 30, 40, 50, 60 are

• A) 40, 40, 40
• B) 30, 40, 50
• C) 20, 40, 60
• D) 35, 45, 55

If many data points are close to the mean, then the standard deviation is -----------.

• A) Large
• B) Middle value
• C) 0
• D) Small

The conversion of Cauchy Euler equation $${x^2}\frac{{{d^2}y}}{{d{x^2}}} - x\frac{{dy}}{{dx}} + y = \ln x$$ after putting $$x = {e^t}$$ becomes

• A) $$({\Delta ^2} - \Delta + 1)y$$
• B) $$({\Delta ^2} - 2\Delta + 1)y$$
• C) $$({\Delta ^2} - 2\Delta - 1)y$$
• D) $$(2{\Delta ^2} - \Delta - 1)y$$