11. Correlation

Given a scatterplot where the points trend upward from left to right, what type of association is shown by the scatterplot?

Which of the following best describes the scatterplot of a car's value compared to the age of the car?

Suppose a scatterplot shows a strong positive linear relationship between hours studied and exam scores for a group of students; the best inference that can be made based on the graph is that

Engineers are studying how cargo weight affects the flight duration of a delivery drone. The data below shows the cargo weight (pounds) and the corresponding flight time (minutes) for 12 test flights. Generate a scatterplot using a graphing calculator with cargo weight as the x-axis. Is there a correlation between cargo weight and flight duration.

If a scatterplot shows no association between two variables, can reliable predictions be made about one variable based on the other? Choose the best answer.

Suppose a scatterplot shows a strong positive linear relationship between variables $x$ and $y$. Which statement is supported by information presented in the graph?

Given a scatterplot of $\mathrm{price}$ versus $\mathrm{mileage}$ for $20$ used sedans, what type of correlation would you most likely expect to observe between $\mathrm{price}$ and $\mathrm{mileage}$?

Explain what is wrong with the following statement: “We have concluded that a high correlation exists between the gender of drivers and rates of automobile accidents.” Suggest a better way to write the sentence.

When preparing a scatterplot to examine the relationship between two quantitative variables, which variable is typically placed on the horizontal ($x$) axis?

Which term refers to a pictorial representation of a given set of data involving $2$ variables?

$$Which of the following scatterplots shows the weakest positive linear association between two variables?$$