AP PSYCHOLOGY

Detailed explanation-1: -The correct answer is A) There is evidence of a strong positive linear correlation. The linear correlation coefficient of 0.92 indicates that increasing x also increases y by approximately the same amount. Thus, it would result in a positive linear correlation, or an upward trend.

Detailed explanation-2: -Correlation coefficients whose magnitude are between 0.7 and 0.9 indicate variables which can be considered highly correlated. Correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated.

Detailed explanation-3: -As the numbers approach 1 or-1, the values demonstrate the strength of a relationship; for example, 0.92 or-0.97 would show, respectively, a strong positive and negative correlation.

Detailed explanation-4: -The magnitude of the correlation coefficient indicates the strength of the association. For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r =-0.2 suggest a weak, negative association.

Detailed explanation-5: -R2 gives us an indication of how good this fit is. The closer R2 is to 1, the better the equation describes the relationship between the two variables. Earlier I stated that the correlation between these two variables is 0.94, indicating a strong correlation.