Scatter Plot Word Problems

Scatter Plot Word Problems

Read each word problem carefully. For questions involving data, create a scatter plot, determine the type of correlation, and answer the questions that follow. Show all your work.

1. A study tracked the number of hours students spent studying for a math test and their corresponding test scores. The data is shown below:

Hours Studied: 2, 3, 4, 5, 6, 7, 8

Test Score: 60, 65, 70, 75, 80, 85, 90

a) Create a scatter plot for this data.

b) Describe the correlation between hours studied and test scores (positive, negative, or no correlation).

c) If a student studied for 5.5 hours, what would you predict their test score to be based on the trend?

2. The scatter plot below shows the relationship between the age of a car and its selling price. Which statement best describes the correlation?

3. The more time a person spends exercising, the more calories they burn. This is an example of a   correlation.

4. As the temperature outside decreases, the sales of ice cream typically decrease. This is an example of a   correlation.

5. A researcher found that there was no clear relationship between the number of hours a person sleeps and their favorite color. This indicates   correlation.

6. A company wants to determine if there is a relationship between the amount of money spent on advertising and their monthly sales. They collected the following data:

Advertising Spend (in thousands $): 10, 15, 20, 25, 30

Monthly Sales (in thousands $): 50, 60, 75, 80, 90

a) Plot the data on a scatter plot.

b) Draw a line of best fit. What does the slope of this line represent in the context of the problem?

c) Predict the monthly sales if the company spends $35,000 on advertising.

7. A scatter plot with points generally going downwards from left to right indicates a positive correlation.