FRIDAY: Everyone Needs a Graphing Calculator TODAY

FRIDAY:

Everyone Needs a Graphing Calculator TODAY

Data Analysis and Statistics

Objectives

I can input data into the graphing calculatorI can determine if data fits any Parent FunctionI can find an equation to model the data I can predict unknown values using the equation

Importance of Data Analysis

If you are going into any field that uses data such as (accounting, research, business, banking, restaurants, hotels, airlines, manufacturing, ….. and the list goes on

Independent versus Dependent

Independent Variable (Plots on x-axis)Dependent Variable (Plots on y-axis)

Independent

Dependent

Data Entry(you should clear the calculator before beginning)

2nd, +, 7, 1, 2

Turn on the plotter

2nd y=, 1: enter, arrow to “on” enter, enter

You should see the following Default selections below:

Calculator Buttons

STAT

Data Entry MODE is called STAT

Entering Data

The table below shows the years of experience for eight technicians at Lewis Techomatic and the hourly rate of pay each technician earns.

Experience in years 9 4 3 1 10 6 12 8

Hourly rate of Pay in dollars

17 10 10 7 19 12 20 15

Independent variable is? Years Experience

Dependent variable is? Pay Rate

Input Data into Calculator

Graph the Data

GRAPH buttonZOOM 9

What PARENT Function does this model?

Let’s Experiment to find the best equation for this data??

Finding an Equation to match the Data

Try the Parent Function y = x

What do we need to do to get this to MATCH?

Think of your Transformations??

Calculator’s BEST Equation

y = 1.23x + 5.57

How close were YOU?

Making Predictions

Once we have an equation to match our data, we can make predictionsIf the trend of data continues, we can predict any future or past data point we don’t already have.You must KNOW what each variable represents!

y = 1.23x + 5.57

Pay Rate Years Experience

How much will an employee with 20 years experience make?

y = 1.23(20) + 5.57y = 30.17$30.17 per hour

y = 1.23x + 5.57

Pay Rate Years Experience

How many years experience would you need to make $20/hr

20 = 1.23x + 5.5714.43 = 1.23xx = 11.7 years

I Can See Forever

Height(meters)

15 30 45 60 75 90 105

DistanceKm

13.833

19.562 23.959 27.665 30.931 33.883 36.598

What Parent Function??

Homework

Data Analysis WS