Exam 9: Modeling Data

If a quadratic model is fit to the graphed data set will a be positive or negative?

Given the data set draw a scatterplot. Clearly label and scale the axes. Does the data set follow a linear pattern a parabolic pattern or neither?

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

The profit in dollars A that your baking business makes when baking n pies is given by . Find the number of pies you must sell to have a profit of $300. Round to whole number(s).

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 vertical intercept in the model? What does it mean?

The average profit in dollars A that your baking business makes when baking n pies is given by . Find and explain the vertical intercept.

You have moved to Chicago in the fall. The graph shows the average monthly high temperature for months since you moved to Chicago. A quadratic model for this data is where y is the average monthly high temperature and x is months after you moved to Chicago. Use the model to predict the lowest average monthly high temperature. Round to the nearest month to make this estimate. Round to one decimal place.

The average profit in dollars A that your baking business makes when baking n cakes is given by . How many cakes rounded to whole numbers should you bake in order to have a profit of $300?

Given the data set draw a scatterplot. Clearly label and scale the axes. Does the data set follow a linear pattern a parabolic pattern or neither?

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 2000. Is this interpolation or extrapolation?

Given the data set draw a scatterplot. Clearly label and scale the axes. Does the data set follow a linear pattern a parabolic pattern or neither?

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 horizontal intercept of the model and explain its value in terms of the problem. Is this reasonable?

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. Use the model to predict the percentage of twelfth grade students who smoke in 2010. Is this answer reasonable?

Given the data set draw a scatterplot. Clearly label and scale the axes. Does the data set follow a linear pattern a parabolic pattern or neither?

The Supplemental Nutrition Assistance Program (SNAP) to provide food assistance has increased the number of participants in millions in the years from 2000 to 2008. Let P be the number of participants in millions and t be years since 2000. The following linear model fits the data: . Use the model to estimate the number of participants in SNAP in 2015. Is this interpolation or extrapolation?

The Supplemental Nutrition Assistance Program (SNAP) to provide food assistance has increased the number of participants in millions in the years from 2000 to 2008. Let P be the number of participants in millions and t be years since 2000. The following linear model fits the data: . What is the slope? Explain its value in terms of the problem.

Given the data set choose its scatterplot. Are the data approximately linear?

The percentage P of 6 to 11 year old children in the U.S. who are overweight may be modeled by the equation where t is years since 1980. Use the model to predict the percentage of 6 to 11 year old U.S. children who were overweight in 2000.

The average profit in dollars A that your baking business makes when baking n cakes is given by . Find and explain the horizontal intercept(s).

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 estimate the coordinates of the vertex.