Regressions Word Problems

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 104%

• 4%

• 40%

• 400%

What is the initial value?

• 0

• 3

• 33

• 66

Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won.  The graph shows the results of the data.  Based on the linear regressions equation y = 3.14x + 3.52, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?  

• about 24

• about 12

• about 8

• about 18

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Predict the grade of a student that has 7 absences.

• 50

• 45

• 70

• 60

What is the best prediction for the number of candies in the jar when 30 students visit her?

• 90

• 180

• 135

• 150

Phil collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday. He recorded the data in the scatterplot. Based on the scatterplot, what is the best prediction of the number of hours one of Phil's friends spends sleeping when the friend spends 1 hour playing video games?

• 9 hours

• 10 hours

• 7 hours

• 8 hours

The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries. Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people?

• $240

• $190

• $210

• $300

The scatterplot shows the average number of hours each of 13 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities each week?

• 33 h

• 85 h

• 50 h

• 65 h