Scatter Plot Word Problems Worksheet

Scatter Plot Word Problems

Read each word problem carefully. Analyze the given data and answer the questions that follow. For problems requiring a scatter plot, plot the points on the provided graph and then answer the questions.

1. An ice cream vendor recorded the daily high temperature (in °C) and the number of ice creams sold. The data is shown below:

Temperature (°C): 14, 16, 18, 20, 22, 24, 26, 28, 30 Ice Creams Sold: 15, 20, 25, 30, 35, 40, 45, 50, 55

a) Plot the data on the scatter plot below.

b) Describe the correlation between temperature and ice cream sales.

c) If the temperature is 32°C, approximately how many ice creams would you expect to be sold? Explain your reasoning.

2. A teacher wants to see if there is a relationship between the number of hours students study for a test and their test scores. The data for 10 students is given:

Study Hours: 2, 5, 3, 6, 4, 2, 7, 5, 8, 3 Test Score: 65, 85, 70, 90, 78, 68, 95, 82, 98, 72

a) What type of correlation would you expect to see between study hours and test scores?

b) If a student studied for 1 hour, would you expect their test score to be higher or lower than a student who studied for 7 hours? Why?

3. The age of a car (in years) and its resale value (in thousands of dollars) are recorded below:

Age (years): 1, 2, 3, 4, 5, 6, 7, 8 Value ($1000s): 25, 22, 19, 16, 13, 10, 7, 4

a) Plot the data on the scatter plot below.

b) Describe the correlation between the age of a car and its resale value.

c) Predict the approximate resale value of a car that is 9 years old.

4. For each scenario, indicate whether you would expect to see a positive correlation, negative correlation, or no correlation.

a) The number of hours spent exercising and the amount of weight gained.

b) The number of hours a lifeguard works and the number of people at the beach.

c) The height of a person and their intelligence.