Making Predictions with Regression: Scatter Plots in Action

A scatter plot shows the relationship between hours studied and test scores for a group of students. The regression equation is y = 5x + 60. If a student studies for 4 hours, what is their predicted test score?

• 100

• 70

• 90

• 80

In a study of car prices, a scatter plot indicates that the regression line is given by the equation y = -2000x + 25000, where x is the age of the car in years. What is the predicted price of a 3-year-old car?

• 19000

• 22000

• 25000

• 15000

A researcher collects data on the number of hours people exercise per week and their body mass index (BMI). The regression equation is y = -1.5x + 30. If a person exercises for 5 hours a week, what is their predicted BMI?

• 18.5

• 25.0

• 22.5

• 20.0

A scatter plot shows the relationship between the temperature in degrees Fahrenheit and the number of ice cream cones sold. The regression line is y = 10x - 50. If the temperature is 80 degrees, how many ice cream cones are expected to be sold?

• 500

• 750

• 900

• 650

In a survey, the relationship between the number of books read and the students' grades is represented by the regression equation y = 2x + 70. If a student reads 6 books, what is their predicted grade?

• 82

• 88

• 76

• 90

A scatter plot shows the relationship between the amount of rainfall (in inches) and the yield of corn (in bushels per acre). The regression equation is y = 15x + 100. If there are 3 inches of rainfall, what is the predicted corn yield?

• 160 bushels per acre

• 130 bushels per acre

• 145 bushels per acre

• 120 bushels per acre

A company analyzes the relationship between advertising spending and sales revenue. The regression equation is y = 4x + 2000. If the company spends $500 on advertising, what is the predicted sales revenue?

• 4000

• 4500

• 3000

• 3500

A scatter plot shows the relationship between the number of hours worked and monthly income. The regression line is y = 300x + 1500. If someone works 40 hours a week, what is their predicted monthly income?

• 60000

• 45000

• 48000

• 53460

In a study of smartphone battery life, the regression equation is y = -0.5x + 24, where x is the number of hours of use. If a phone is used for 10 hours, what is the predicted battery life left?

• 19 hours

• 15 hours

• 25 hours

• 22 hours

A scatter plot shows the relationship between the number of social media posts and the number of followers gained. The regression equation is y = 3x + 50. If a user makes 20 posts, how many followers are they predicted to gain?

• 90

• 110

• 150

• 130