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Linear and Quadratic Regression

Total questions: 7

Worksheet time: 31mins

Name
Class
Date
1.

The high divers at Canada’s Wonderland perform competitive dives from a height of 21m. A diver’s data is shown. Based on the R2 value, find the equation of best fit. Then predict the height of the diver after 2 seconds.


Round to the nearest hundredth for all values.

(a)  

2.

The data in the table shows the average United States farm size. Find the line of best fit and predict the average farm size in the year 2014.

a)

14 acres

b)

466 acres

c)

3461 acres

d)

463 acres

3.

In the Kingdom of Petrodalla, natural gas is the primary resource. The table shows the amount of natural gas produced each year. Based on the scatterplot, find the equation of best fit and use it to predict the amount of natural gas produced in 2016.

a)

1.3 millions of m3

b)

2.0 millions of m3

c)

1.7 millions of m3

d)

0.9 millions of m3

4.

Gene hit a golf ball from the top of a hill. The height of the ball above the ground is given in the table below. Based on the scatterplot, find the equation of best fit. What is the best estimate for how high off the ground the ball was after 5 seconds?

a)

15 meters

b)

17 meters

c)

18 meters

d)

16 meters

5.

The one-hour record is the farthest distance traveled by bicycle in 1 hour. The table below shows the world record distances and the dates they were accomplished. Based on the scatterplot, find the best fit model, rounded to the nearest hundredth. Then predict the distance traveled in 2012.

a)

91.50 km

b)

90.75 km

c)

92.0 km

d)

92.5 km

6.

The table shows the value, v, of an account at the end of m months. Based on the R2 value, find the best fit equation. Then predict the value of the account at the end of 13 months.

(a)  

7.

Municipal solid waste (MSW), commonly referred to as trash, consists of everyday items we use and then throw away, such as product packaging, grass clippings, clothing, food scraps, newspapers, and batteries. Based on the R2 value, find the best fit equation, rounding to the nearest hundredth. Then predict how much MSW, in million tons, there is in 2021.

a)

130 million tons

b)

199 million tons

c)

147 million tons

d)

173 million tons