Interactive practice questions
Consider the graph on the right.
A scatter plot has the horizontal axis ranging from $0$0 to $10$10 and the vertical axis ranging from $-1$−1 to $10$10. Both axes are marked at intervals of $1$1 unit. Ten data points are plotted as solid dots on the scatter plot. The data points are at approximately $\left(2,2\right)$(2,2), $\left(1,2\right)$(1,2), $\left(0,2\right)$(0,2), $\left(3,2\right)$(3,2), $\left(4,2\right)$(4,2), $\left(5,2\right)$(5,2), $\left(6,3\right)$(6,3), $\left(7,8\right)$(7,8), $\left(9,7\right)$(9,7) and $\left(8,5\right)$(8,5), respectively. The points begin near the lower left corner and gradually move upward from left to right. Then the points sharply move upward toward the upper right. One point is also noticeably higher than the other data points. The coordinates of the points are not explicitly labeled nor given.
Would calculating the correlation coefficient be appropriate for this data set?
Yes
No
Why would it not be suitable to calculate the correlation coefficient?
Select all statements that apply.
The relationship graphed is not linear.
The outlier will bias the result.
There are not enough values given.
Consider the graph on the right.
Data on colony collapse disorder is collected across several years.
A researcher plotted the life expectancy of a group of men against the number of cigarettes they smoke a day. The results were recorded and the correlation coefficient $r$r was found to be $-0.88$−0.88.