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Linear Regression Analysis: Finding Equations of Linear Models in Various Scenarios - Prof, Assignments of Algebra

Instructions on how to find equations of linear models for different datasets using real-world examples. The datasets include the number of unruly airline passengers, corporate report restatements, and the percentage of americans whose favorite sport is baseball, as well as carbon emissions. Students will learn how to use a graphing calculator to find the equations and make predictions based on the data.

Typology: Assignments

2009/2010

Uploaded on 02/24/2010

koofers-user-jhp
koofers-user-jhp 🇺🇸

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Math 100C 2.2 Finding Equations of Linear Models Activity
1. The number of unruly airline passengers per year has increased approximately
linearly from 184 passengers in 1996 to 303 passengers in 2004. Let n be then
number of unruly passengers in the year that is t years since 1990. Find an
equation of a linear model to describe the data.
2. Due to a crackdown on fraudulent corporate reports, the number of restatements
of facts in corporate reports has increased approximately linearly from 217
restatements in 1999 to 410 restatements in 2004. Let n be the number of
restatements in the year that is t years since 1990.
a. Find an equation of a linear model to describe the data.
b. Predict what the number of restatements there will be in 2010.
c. Predict when the number of restatements will be 600.
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Math 100C 2.2 Finding Equations of Linear Models Activity

  1. The number of unruly airline passengers per year has increased approximately linearly from 184 passengers in 1996 to 303 passengers in 2004. Let n be then number of unruly passengers in the year that is t years since 1990. Find an equation of a linear model to describe the data.
  2. Due to a crackdown on fraudulent corporate reports, the number of restatements of facts in corporate reports has increased approximately linearly from 217 restatements in 1999 to 410 restatements in 2004. Let n be the number of restatements in the year that is t years since 1990. a. Find an equation of a linear model to describe the data. b. Predict what the number of restatements there will be in 2010. c. Predict when the number of restatements will be 600.

Graphing Calculator Steps:

  1. The table below shows, for various years, the percentage of Americans whose favorite sport is baseball. Year Percent 1994 19 1995 16 1997 14 1998 16 2000 13 2002 12 2004 10 Let p be the percentage of Americans whose favorite sport is baseball at t years since 1990. a. Using a graphing calculator find an equation of a linear model to describe the data. b. What is the p-intercept? What does is mean in this situation? c. Predict when no Americans favorite sport is baseball.