1. The following data show the results of a study based on the number of hours college students spend playing video games and their GPAs:

Number of Hours Playing Video Games (per week) GPA

42 0.2

38 0.9

32 1.0

26 1.1

23 1.2

19 2.5

15 3.0

a. Show a scatter plot and be sure to LABEL BOTH axes and give the plot an overall title. Have the graph display the r-value and the regression equation.

b. What kind of correlation is this?

c. Is this more of a linear or exponential model? Why?

d. Using your regression equation, predict the GPA if a student spends one hour a week playing video games.

2. The following data show the transportation budget for North Carolina. Let Year 1 represent 2003 when making your scatterplot and running the regression.

Year Budget (in millions of dollars)

2003 385

2004 397

2005 452 2006 501

2007 446 2008 450 2009 593

2010 654

2011 846

2012 911

2013 1,483

2014 1,897

a. Show a scatter plot and be sure to LABEL BOTH axes and give the plot an overall title. Have the graph display the r-value and the regression equation.

b. What kind of correlation is this?

c. Is this more of a linear or exponential model? Why?

d. Using your regression equation, predict the budget for 2020.