8 Red
Name ______________________________
Unit 2: Linear Functions & Systems
Problem Set 13: Linear Regression
1.
2.
The table shows the number of turtles hatched at a zoo each year since 2007.
(a)
Find the equation for the line of best fit.
(b)
Predict the number of turtles to be hatched in 2015.
Detroit, MI, like a number of large cities, is losing population every year. Below is a table showing the
population of Detroit each year.
(a)
3.
Due Date ______________
Find the regression equation.
(b)
Predict the population of Detroit in 2016.
The table shows the number of goals a soccer team scored each season since 2006.
(a)
Find the regression equation.
(b)
Predict the number of goals scored in 2013.
4.
The table below shows the average price of a movie ticket during certain years.
(a)
5.
Find the regression equation.
(b)
During what year will the price of a movie
ticket reach $15?
The scatter plot shows the weight loss per week of a diet. In the graph, y represents the person’s
weight in pounds and x represents the weeks of a diet.
(a)
Find the regression equation.
(b)
Predict the dieter’s approximate weight
after 10 weeks.
6.
The table below shows the recorded temperature on a certain day starting at 6:00 a.m.
(a)
Find the regression equation.
(b)
Predict the temperature at 2:00 p.m.
Answers to Problem Set 13:
1.
2.
3.
4.
5.
6.
(a)
𝑦 = −1.5𝑥 + 19.8
(b)
8 turtles
(a)
𝑦 = −0.019𝑥 + 1.66
(b)
672,000
(a)
𝑦 = 1.31𝑥 + 44.38
(b)
54 goals
(a)
𝑦 = 0.22𝑥 + 5.77
(b)
2044
(a)
𝑦 = −3.07𝑥 + 181.5
(b)
151 pounds
(a)
𝑦 = 2.91𝑥 + 64.6
(b)
88°