11. Correlation

Given a scatterplot showing a strong negative linear relationship between two variables, which of the following is most likely the correlation coefficient for the data set?

Which of the following is a measure of how well the regression fits the sample data?

Time and Motion In a physics experiment at Doane College, a soccer ball was thrown upward from the bed of a moving truck. The table below lists the time (sec) that has lapsed from the throw and the corresponding height (m) of the soccer ball.

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a. Find the value of the linear correlation coefficient r.

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

Given a dataset where the variables have a strong negative linear relationship, which of the following values is most likely to be the correlation coefficient?

When using the $\mathrm{CORREL}$ function in spreadsheet software, what does the function calculate between two variables?

Given four scatterplots, each showing a different pattern of data points, which scatterplot shows the weakest negative linear correlation ($r$ closest to $0$ but less than $0$)?

6. Discuss the difference between r and p.

$A\; correlation\; indicates\; that\; there\; is\; \_\_\_\_\_\; between\; two\; variables.$

Which of the following is true of the correlation coefficient $r$?

What would the scatter plot look like for data that produce a Pearson correlation coefficient of $r=\mathrm{+0.88}$?

Given four scatterplots labeled A, B, C, and D, the calculated correlation coefficients are as follows: A: $0.9$, B: $-0.8$, C: $0.0$, D: $0.5$. Which scatterplot shows the strongest negative linear relationship?

Which of the following values of the correlation coefficient represents a moderate negative correlation?

Unlike $r^2$, adjusted $r^2$ explicitly accounts for which of the following in regression analysis?