CK12 Calculus - Single Variable

Let’s graphthe equationover our data.We see the followinggraph:

TrigonometricModels
The followingexampleshowshow a trigonometricfunctioncan be usedto modeldata.
Example3:
Withthe skyrocketingcost of gasoline,morepeoplehavelookedto masstransitas an optionfor getting
around.The followingtableusesdata fromtheAmericanPublicTransportationAssociationto showthe
numberof masstransittrips (in billions)between 1992 and 2000.

year Trips (billions)

1992 8.5

1993 8.2

1994 7.93

1995 7.8

1996 7.87

1997 8.23

1998 8.6

1999 9.08

2000 9.4

We enterthe data in our calculatorinL5andL6. We then will view a scatterplot. Changethe windowranges
accordinglyto includeall of the data.Use for both and ranges.
Hereis the scatterplot:

Now let us computethe regressionequation.Sinceour scatterplot suggestsa sine modelfor the data,we
will chooseSineRegressionfrom the menu.We get the equation:

Let us graphthe equationover our data.We see the followinggraph: