### All AP Statistics Resources

## Example Questions

### Example Question #1 : Graphing Data

A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?

**Possible Answers:**

Z-score

Scatterplot

Bar chart

Bell curve

Histogram

**Correct answer:**

Scatterplot

A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.

### Example Question #1 : Using Scatter Plots

Based on the scatter plot below, is there a correlation between the and variables? If so, describe the correlation.

**Possible Answers:**

Yes; positive linear relationship

Yes; negative exponential relationship

No; there is no correlation

Yes; negative linear relationship

**Correct answer:**

Yes; negative linear relationship

The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.

A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.

An exponential relationship would be curved, rather than straight.

### Example Question #2 : Graphing Data

Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)

, , , , ,

**Possible Answers:**

, , ,

, , ,

, , ,

, , ,

, , ,

**Correct answer:**

, , ,

The first graph is random scatter, no correlation, the second is perfect linear, corellation , the last two have fairly strong positive and negative corellations, the student should know that a corellation of is much weaker than them