Understanding the Linear Correlation Coefficient

what does the linear correlation coefficient r measure?

the strength of the linear relationship between two variables, closer to 1 means stronger

what does a positive value of r suggest about the scatterplot?

the scatterplot has a positive slope

what does a negative slope in a scatterplot mean for the value of r?

the correlation coefficient r is negative

what does the magnitude (absolute value) of r indicate?

the strenght of the linear relationship

if r is close to 1 or -1 what does this tell you?

there is a strong linear relationship

what does a value of r near 0 suggest?

there is a weak or no linear relationship

what does a positive value of r indicate about the variables?

they are positively linearly correlated

If r is negative, how does y behave as x increases?

y tends to decrease linearly

What is the relationship between the sign of r and the slope of the regression line?

They are the same; both are either positive or negative