For the following correlation coefficient values determine w

For the following correlation coefficient values, determine whether you can conclude that the two variables are linearly related and if so, if the value of y increases or decreases as x increases. -0.95 0.001 0.92 -0.00005

Solution

a) r = -0.95 this value represents strong negative correlation.

That means there is a strong linear relation between x and y. Since r is nagtive y decreases as x increases.

b) r = 0.001 this value indicates very weak positive correlation.

0.001 approximately 0 that mean linear relationship is very very weak (almost no relationship) and positive sign indicates that as x increases y increases.

c) r = 0.92 this value represents strong positive correlation.

That means there is a strong linear relation between x and y. Since r is positive y increases as x increases.

d) r = -0.00005 this value indicates very weak negative correlation.

-0.00005 approximately 0 that mean linear relationship is very very weak (almost no relationship) and negative sign indicates that as x decreases y increases.