Exam 9: Modeling Data

During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. If you use the model to predict the percentage of these passengers who used a seat belt in 2017 which are you doing?

The __________ for a linear data set is the equation of the line which is the best fit for the data.

During the years 2002 to 2008 smoking among twelfth grade students was declining. A linear model for the percentage of twelfth grade students who smoke is . P is the percentage of twelfth graders who smoke and t is years since 2002. Find the slope of the model and explain the value of the slope in terms of the problem. Is percentage of twelfth graders who smoke going up or down over time?

Does the data graphed follow a linear pattern a parabolic pattern or neither?

Decide which line fits the data best.

During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. Use the model to predict the percentage of these passengers who used a seat belt in 1998.

During the years 2002 to 2008 smoking among twelfth grade students was declining. A linear model for the percentage of twelfth grade students who smoke is . P is the percentage of twelfth graders who smoke and t is years since 2002. Find the vertical intercept of the model and explain its value in terms of the problem.

The percentage of eighth grade students P participating in school music or performing arts in the years from 1996 to 2006 may be modeled by where t is years since 1996. What is the slope in the model? What does it mean?

You have moved to Chicago in the fall. The graph shows the average monthly high temperature for months since you moved to Chicago. Does the graph show a linear pattern a quadratic pattern or neither?

The graph shows the average monthly high temperature in Newark NJ for months from April to September. If a quadratic model is fit to the graphed data set will a be positive or negative?

The percentage of eighth grade students P participating in school music or performing arts in the years from 1996 to 2006 may be modeled by where t is years since 1996. Use the model to predict the percentage participation in 2020. Is this interpolation or extrapolation?

A quadratic model for the median price of a condo is given by . The variable x is the years since 2000. Find the vertex of the model. Explain it in this problem.

The graph shows the average monthly high temperature in Newark NJ for months from November to April. If a quadratic model is fit to the graphed data set will a be positive or negative?

During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. If you use the model to predict the percentage of these passengers who used a seat belt in 2006 which are you doing?

You have moved to Chicago in the fall. The graph shows the average monthly high temperature for months since you moved to Chicago. If a quadratic model is fit to the graphed data set will a be positive or negative?

When you estimate an output value for an input value that is outside the data input values by using the model you are doing __________.

You are given a quadratic model where t is time. If a is __________ the vertex identifies the minimum point.

The graph shows the average monthly high temperature in Newark NJ for months from April to September. If a quadratic model is fit to the graphed data set estimate the coordinates of the vertex.

During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. What is the slope of the model and what does it mean in terms of the problem?

A quadratic model for the median home price in Tampa Florida is given by . The variable x is the years since 2000. Use the model to predict the median home price in the year 2008.