11. Correlation

The sign ($+$ or $-$) of a correlation coefficient is based on whether as one variable increases, the other variable tends to increase or decrease. Which of the following best describes this relationship?

Which of the following $r$-values represents the strongest correlation?

Suppose Figure 1 shows a scatterplot of two variables with points closely clustered around a straight line that slopes upward. Which of the following best describes the statistical relationship indicated in Figure 1?

Which value of the correlation coefficient $r$ indicates a stronger linear relationship between two variables: $r=0.85$ or $r=-0.92$?

Given four scatterplots, each showing a different relationship between variables $X$ and $Y$, which scatterplot would indicate the strongest negative linear association between $X$ and $Y$?

Which of the following best describes how to distinguish between a strong linear association and a weak linear association when using the correlation coefficient?

Which of the following statements about the correlation coefficient is correct?

Which value of the correlation coefficient $r$ indicates a stronger correlation than $+0.40$?

Which of the following scatterplots best represents a dataset with a correlation coefficient $r$ closest to $1$?

If the coefficient of determination is $R_2=0.60$, what is the absolute value of the correlation coefficient $\left|r\right|$?

Which of the following scatterplots would have a trend line with a negative slope?

Which term describes the degree of strength of the linear relationship between $x$ and $y$?