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Trend Lines and Predictions

Last updated about 5 years ago

10 questions

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Word problems predicting based on given trend line.

Question 1

1.

A scatter plot was made to show the value of certain cars based on the age of the car in years. The equation of the scatter plot’s trend line is y = -1,700x + 32,000 where y is the value of the car in dollars and x is the age of the car in years. Use the trend line equation to predict the value of a car after 7 years.

$18.82

$18,820

$25,000

$20,100

Question 2

2.

A scatter plot was made to show the record for the 100-meter dash over several years at Meander High
School. The equation of the scatter plot’s trend line is y = -.14x + 12.5 where y is the record in seconds and x is the number of years since the year 2000.Use the trend line equation to predict the year that the record for the 100-meter dash was 11.8 seconds.

2005

2010

2011

1995

Question 3

3.

A restaurant owner sets a jar of peppermints at the front of his store each day. He made a scatter plot that shows the number of peppermints left in the jar compared to the number of hours the restaurant had been open that day. Which is the best interpretation of the slope of the trend line shown?

There are about 50 less peppermints every 2 additional hours the store is open.

There are about 25 less peppermints every additional hour the store is open.

There are about 25 less peppermints every 2 additional hours the store is open.

Question 4

4.

The manager of a nail salon recorded the number of ads she ran in local newspapers and magazines and the number of customers her salon had in a week. Which is the best interpretation of the y-intercept of the trend line shown?

There are 0 customers when she runs 30 ads.

There are 30 additional customers for every ad she runs.

There are 30 customers when she runs 0 ads.

There are 7.5 additional customers for every ad she runs.

Question 5

5.

The scatter plot shows the number of swings that different people took at a pinata, as well as the
number of times each person hit the pinata. Use the equation of the trend line to predict how many
times a person swung if they hit the pinata 10 times.

5

20

10

Question 6

6.

A scatter plot was made to show the results of a survey where individuals were asked how many years of experience they have at their job and what their annual income is. A trend line drawn on the scatter plot has an
equation of y = 1,950x + 36,000 where y is the person’s annual income and x is their number of years of experience. Which is the best interpretation of the y-intercept in the trend line equation?

A person earns an additional $1,950 for each year of experience.

A person earns an additional $36,000 for each year of experience.

A person with 0 years of experience earns $1,950.

A person with 0 years of experience earns $36,000.

Question 7

7.

The scatter plot shows the body fat percentage and the average number of miles run each week by several
individuals.Use the equation of the trend line to predict the body fat percentage of someone who runs an average of 10 miles each week.

6%

12%

14%

10%

Question 8

8.

The number of vehicles on a portion of a highway and the average speed the vehicles were traveling was recorded at various points of the day over several months. A scatter plot of the data was created, and the
trend line on the scatter plot has an equation of y = -.025x + 70 where y is the average speed of the vehicles and x is the number of vehicles on the highway. Use the equation of the trend line to predict how many vehicles were on the highway if the vehicles were traveling at an average speed of 45 miles per hour.

1,000

61

79

100

Question 9

9.

The scatter plot shows the scores that several students made on their math semester exam and their
science semester exam. Use the equation of the trend line to predict the science exam score of someone who scores an 84 on their math exam.

94

73

63

99

Question 10

10.

The scatter plot shows the number of people in a family and the average amount of money that the family spends on groceries each week. Use the equation of the trend line to predict how much money a family with 7 people would spend on groceries each week.

$210

$315

$6.43

$270

There are about 50 less peppermints every additional hour the store is open.

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