Question Type 5: Describing the correlation Bootcamps

Given a scatter diagram with correlation coefficient $r = 0.85$, describe the strength and direction of the correlation.

A researcher reports $r = 0.15$ between hours studied and test scores. Describe this correlation.

Interpret a correlation coefficient of $r = 0$. What does this tell you about the relationship between the two variables?

The scatter diagram below shows points closely clustered around a downward-sloping line. Describe the correlation.

![Scatter plot: points tightly clustered along a downward-sloping line]

Dataset A has $r_A = 0.8$ and dataset B has $r_B = -0.8$. Compare their correlations in terms of strength and direction.

A dataset has a calculated correlation coefficient $r = -0.62$. Describe the strength and direction of the correlation.

Two variables have a correlation coefficient of $r = -0.30$. Describe what this tells you about the relationship and whether you would consider it strong.

The scatter diagram shows a weak positive correlation. Suggest a plausible value for $r$ and justify your answer.

In a study, the coefficient of determination between study time and exam score is $r^2 = 0.49$. Describe what this implies about the strength of the linear relationship.

Given $r = -0.95$ for two variables, calculate the coefficient of determination and describe the correlation strength and direction.

Explain the difference between a correlation coefficient of $r = 0.7$ and a coefficient of determination $r^2 = 0.7$.

A scatter plot of annual rainfall vs. crop yield shows points tightly clustered along an upward line but with one outlier far below the line. Describe how the outlier affects the correlation coefficient.