3.2 Equivalence Relations 155 (g) The relation P on defined byName at least one ordered pair in each quadrant that is relatedto (3, 0). Describe all ordered pairs in the equivalence class of (0, 0); inthe class of (1, 0).(h) Let R be the relation on the set of all differentiable functions defined byf and g have the same first derivative, that is, Name threeelements in each of these classes: Describeand(i) The relation T on given by Describe the equivalenceclass of 0; of of6. Let R be the relation on defined by iff pt = qs. Show that R is an pq R st /2; /4

Correlation Positive correlation – both variables increase or decrease together Negative correlation – two variables change in opposite direction No correlation – no linear relationship Nonlinear relationship – two variables are related but results in a scatter diagram that does not follow straight line Correlation coefficient (r) is a measure of the strength, its value is only -1 to 1 If no correlation, points won’t follow a straight line pattern, value of r is close to 0 If positive correlation, correlation coefficient is (0 < r = 1) Perfect positive correlation r = 1 **value r close to 1 in a strong positive correlation and value r close to 0 is weak positive correlation