MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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.
1
Phase 1: Data Preparation.
1. Download the Mount Pleasant Real Estate
Data from stat.hawkeslearning.com and open
it with Microsoft Excel.
2. To ensure the data contains comparable
properties, eliminate duplexes and properties
whose prices are outliers. What limitations
does this impose on our analysis?
3. The statistical tools from the current chapter
focus on numeric data, so eliminate non-
numeric variables from the data. Does this
remove potentially useful information?
4. Are there any redundant variables we
could eliminate?
Phase 2: Discovering Relationships
5. How strongly does each remaining variable
correlate to the price?
6. Which variable correlates most strongly
with price?
7. Are any variables weakly correlated with price?
Practically speaking, why do you think this
is true?
3.5
3
2.5
2
1.5
1
2020
2015
2010
2005
2000
1995
Price vs. Stories
0.5
0
$0 $200,000 $400,000 $600,000 $800,000 $1,000,000 $1,200,000
1990
●●
-
*0% no m
●●
Homme
●
Price vs. Year Built
881
●●
•
*
●
**
●
$0 $200,000 $400,000 $600,000 $800,000 $1,000,000 $1,200,000
expand button
Transcribed Image Text:. 1 Phase 1: Data Preparation. 1. Download the Mount Pleasant Real Estate Data from stat.hawkeslearning.com and open it with Microsoft Excel. 2. To ensure the data contains comparable properties, eliminate duplexes and properties whose prices are outliers. What limitations does this impose on our analysis? 3. The statistical tools from the current chapter focus on numeric data, so eliminate non- numeric variables from the data. Does this remove potentially useful information? 4. Are there any redundant variables we could eliminate? Phase 2: Discovering Relationships 5. How strongly does each remaining variable correlate to the price? 6. Which variable correlates most strongly with price? 7. Are any variables weakly correlated with price? Practically speaking, why do you think this is true? 3.5 3 2.5 2 1.5 1 2020 2015 2010 2005 2000 1995 Price vs. Stories 0.5 0 $0 $200,000 $400,000 $600,000 $800,000 $1,000,000 $1,200,000 1990 ●● - *0% no m ●● Homme ● Price vs. Year Built 881 ●● • * ● ** ● $0 $200,000 $400,000 $600,000 $800,000 $1,000,000 $1,200,000
Phase 3: Constructing Predictive Models.
8. Find the regression line ŷ = b + b₁x predicting
home price by the variable most highly
correlated to it.
What proportion of the variablity in
home prices is explained by this
variable in a straigt line model?
Find the five number summary for
this variable. Predict the price of
homes at each value of this five
number summary using your
regression line.
List Price
$1,200,000
$1,000,000
$800,000
$600,000
$400,000
$200,000
0
0
Square Footage Line Fit Plot
◆ List Price
■ Predicted
List Price
1000 2000 3000 4000 5000 6000
9. Find the 95% confidence interval for B₁, the slope of the population linear regression model. Also,
conduct a hypothesis test for the significance of B₁, that is test, Ho: P₁ = 0 vs. Ha: P₁ = 0 and state the
conclusion. Does this result and the confidence interval agree? If so, why?
expand button
Transcribed Image Text:Phase 3: Constructing Predictive Models. 8. Find the regression line ŷ = b + b₁x predicting home price by the variable most highly correlated to it. What proportion of the variablity in home prices is explained by this variable in a straigt line model? Find the five number summary for this variable. Predict the price of homes at each value of this five number summary using your regression line. List Price $1,200,000 $1,000,000 $800,000 $600,000 $400,000 $200,000 0 0 Square Footage Line Fit Plot ◆ List Price ■ Predicted List Price 1000 2000 3000 4000 5000 6000 9. Find the 95% confidence interval for B₁, the slope of the population linear regression model. Also, conduct a hypothesis test for the significance of B₁, that is test, Ho: P₁ = 0 vs. Ha: P₁ = 0 and state the conclusion. Does this result and the confidence interval agree? If so, why?
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