Warm-Up Regression Models - Edgenuity Inc.
[Pages:13]Warm-Up Regression Models
?
Lesson
Question
Lesson Goals
Model real-world scenarios using linear, quadratic,
or exponential
.
Use a model to make
.
Identify to models.
Interpret the graph of a model.
Determine which type of
best models the data.
W2K
Words to Know
Fill in this table as you work through the lesson. You may also use the glossary to
help you.
evaluate
to determine the
of
predict extrapolation
? Edgenuity, Inc.
to tell or state in
a prediction made in the data set
the range of the values
1
Warm-Up Regression Models
W2K
Words to Know
interpolation
a prediction made the data set
the range of the values in
scatterplot
a graph that has two sets of data plotted as points so that between the data can be visualized
Linear Regression
Use the in the table.
calculator to find a
model for the data
x
y
?4
?13
?2
?6
0
?1
2
5
4
12
? Edgenuity, Inc.
2
Warm-Up Regression Models
Using the Regression Calculator to Find a Linear Model
? Put each (, ) pair into the calculator. ? Press "Resize window to fit data" in order to see all the points. ? Make sure that "Linear Regression" is highlighted in the drop down. ? Once we click that, we get a regression model and an equation for the model.
=
- 0.6
? Edgenuity, Inc.
3
Instruction Regression Models
Slide
2
Using the Regression Calculator to Find an Exponential Model
The number of bacteria colonies in a petri dish as a function of time, in hours, is shown in the table. Find an
function that models the data. Round numerical values to the nearest hundredth.
Time (hour) 0 1 2 3
or
Number of Colonies
10 19 62 96
4
199
5
471
3
Using the Regression Calculator to Find an Exponential Model
? Put each (, ) pair into the calculator. ? Press "Resize window to fit data" in
order to see all the points. ? Go to the dropdown menu and select
"Exponential Regression." ? The equation shown is:
= 10.18(
)
? Edgenuity, Inc.
4
Instruction Regression Models
Slide
5
Making Predictions with the Graph of a Model
Interpolation is a prediction made the range of values in a
() = . (. )
1,000
data set.
800
Number of Colonies
Predict the approximate number of bacteria colonies after 3.5 hours by evaluating (3.5). ( = 3.5)
bacteria colonies
600
400
200 150
234
6
8
Time (hours)
Making Predictions with the Equation of a Regression Model
The number of bacteria colonies in a petri dish as a function of time, in hours, can be modeled with the function () = 10.18(2.15).
Extrapolation is a prediction made data set.
the range of values in the
Evaluate the number of bacteria colonies there will be after 6 hours. (6) = 10.18(2.15)6
= 1005.4918 ...
bacterial colonies
? Edgenuity, Inc.
5
Instruction Regression Models
Slide
7
Using the Regression Calculator to Find a Quadratic Model
A company manufactures cardboard boxes.
The company's profit, in dollars, as a
Number Sold
Profit (thousands of $)
function of the number of units sold is
0
?600
shown in the table. Find a
100
?15
function that models the data.
200
500
Use the model to predict how many units
300
645
sold will produce the
profit.
400
705
500
540
8
Using the Regression Calculator to Find a Quadratic Model
Select "Quadratic Regression" from the dropdown menu.
max profit Vertex appears to be at about (360, 710).
360 units $
? Edgenuity, Inc.
6
Instruction Regression Models
Slide
11
Different Function Types
To choose whether a linear,
, or quadratic model is the best fit,
consider the general shape and properties of the graphs of these functions.
line
point
Linear Function Exponential Function Quadratic Function
Choosing a Function to Model Data
Which kind of function best models the data shown in each scatterplot?
1,200 1,000
800 600 400 200
10 20 30
? Edgenuity, Inc.
7
Instruction Regression Models
Slide
13
Finding a Regression Model
The total sales, in millions of dollars, for snowmobiles is given for the years shown
in the table. Find a
model that best models the data. Round
numerical values to the nearest
.
Year
1990 2000 2004 2005 2006 2007 2008 2009
Total Sales (millions of $)
322 894 826 739 685 632 544 435
? Edgenuity, Inc.
8
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
Related searches
- warm teas from starbucks
- best sherwin williams warm whites
- chinese medicine warm foods list
- warm foods chinese medicine
- warm cheap places to retire
- cheapest warm place to live in usa
- best warm cities to live
- sherwin williams warm whites
- warm turmeric drink recipe
- best benjamin moore warm neutrals
- warm paint colors for living room
- best warm place to retire