11. Correlation

Which of the following is a characteristic of the correlation coefficient?

Suppose you are shown four scatterplots, each with a calculated correlation coefficient. Which of the following correlation coefficients indicates the strongest linear relationship between the two variables?

Which of the following tables shows no correlation between variables $X$ and $Y$?

Given a dataset where as one variable increases, the other variable tends to decrease moderately, which of the following values is the most likely correlation coefficient for this data?

Which value of the correlation coefficient $r$ indicates a stronger linear relationship: $r=0.85$ or $r=-0.65$?

A marketing researcher analyzed advertising budget vs. monthly sales revenue for small retail stores and found that typically the stores that spent more on advertising saw higher sales revenues. However, the relationship wasn't perfect - some stores advertised more but saw fewer sales due to poor location, customer preferences, or bad timing. Which of the following is the most likely value for the correlation coefficient $r$ between advertising budget and sales revenue?

What is the most likely value of the correlation coefficient between a stock-index mutual fund and the $S\&P500$ index?

If the coefficient of determination $r^2$ is high, can we conclude that there is a causal relationship between the two variables? Choose the best answer.

Suppose you are shown four scatterplots, each with a calculated correlation coefficient. Which of the following correlation coefficients indicates the strongest linear relationship between the two variables?

A negative correlation means $\dots$.

Which of the following is a property of the linear correlation coefficient $r$?

A correlation coefficient is a statistic that tells the

What is the primary goal of the correlation coefficient in statistics?

Which of the following are properties of the linear correlation coefficient $r$?