true value of y when x = 0

expected value of y when x = 0

standard deviation of the values of x

change in average value of y per unit change in x

true value of y for a fixed value of x

mean value of y when x = 0

change in mean value of y per unit change in x

variance of the values of x

Correlation analysis provides a measure, which indicates how well an equation for estimating one variable from another explains the changes in the estimated variable

If the coefficient correlation between two variables is close to 1, then there is no correlation between the two variables

If the slope of a regression equation is positive, then the coefficient of correlation between the variables involved is negative

If the slope of a regression equation is negative, the dependent variable decreases as the independent variable decreases

The standard deviation of the observed values of the dependent variable is zero

The standard deviation of the independent variable is zero

The observed value of the dependent variable will always be equal to its estimated value, for a given value of the independent variable

There is no correlation between the variables involved

 There is a negative correlation between the dependent and independent variables

 The correlation coefficient between the dependent and independent variables, lies between 0 to 1

The correlation coefficient between the dependent and independent variables is 1

 The regression line is parallel to the horizontal axis

 The coefficient of determination is always less than zero

The coefficient of determination is always greater than or equal to zero, and less than or equal to 1

 The coefficient of determination is always equal to 1

The coefficient of determination always has the same sign as the coefficient of correlation

Frequency polygon

Histogram

Scatter diagram

pie-chart

Both X and Y decreasing

X decreases, Y increase

X increases, Y decreases

None of the above

0.9

+ 1

– 1

– 0.9

– 1

+ 1

0.5

0.9