AP PSYCHOLOGY

Detailed explanation-1: -The closer r is to +1, the stronger the positive correlation is. The closer r is to-1, the stronger the negative correlation is. If |r| = 1 exactly, the two variables are perfectly correlated! Temperature in Celsius and Fahrenheit are perfectly correlated.

Detailed explanation-2: -When all the points on a scatterplot lie on a straight line, you have what is called a perfect correlation between the two variables (see below). A scatterplot in which the points do not have a linear trend (either positive or negative) is called a zero correlation or a near-zero correlation (see below).

Detailed explanation-3: -The slope of the line is positive (small values of X correspond to small values of Y; large values of X correspond to large values of Y), so there is a positive co-relation (that is, a positive correlation) between X and Y.

Detailed explanation-4: -The sign of the linear correlation coefficient indicates the direction of the linear relationship between x and y. When r (the correlation coefficient) is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak.