tryin produce app replace realtor (typical property selling price). Your first mission is to produce a tool that helps prospective house buyers estimate the potential selling price of their houses, and you're working on making a regression model to serve as the engine behind the tool. You'd like to make the model as simple as possible, so you are wondering how well you can predict the selling price of a house from just the size of the living area (ignoring garage, etc). In RStudio, run the following code to install and/or library the package "openintro". don't do this again if you already did this! 1. Install.packages("openintro") 2. library(openintro) 3. ames Delete the install line of code if you are in an RMD file so that it doesn't install every time you knit. The last line of code will access the dataset of that name. The table 'ames gives information about house prices in the fun college town of Ames, lowa. Use the data set to make a model to predict the price of a house in Ames, lowa in dollars (price") from the area of living space of a house in square feet ("area"). a. Make a scatterplot of "price" (y-axis) vs "area" (x-axis). Which plot is the scatterplot? Graph A Graph B Graph C Graph t

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You are trying to produce an app to replace realtors and reap their commissions (typically 5 to 6% of the
property selling price). Your first mission is to produce a tool that helps prospective house buyers estimate
the potential selling price of their houses, and you're working on making a regression model to serve as the
engine behind the tool. You'd like to make the model as simple as possible, so you are wondering how well
you can predict the selling price of a house from just the size of the living area (ignoring garage, etc).
In RStudio, run the following code to install and/or library the package "openintro".
1. install.packages("openintro") # don't do this again if you already did this!
2. library(openintro)
3. ames
Delete the install line of code if you are in an RMD file so that it doesn't install every time you knit. The
last line of code will access the dataset of that name.
The table ames' gives information about house prices in the fun college town of Ames, lowa. Use the data
set to make a model to predict the price of a house in Ames, lowa in dollars (price") from the area of living
space of a house in square feet ("area").
a. Make a scatterplot of "price" (y-axis) vs "area" (xx-axis). Which plot is the scatterplot?
Graph A Graph B Graph C Graph D
Graph
Graph
O
A
$4
845-
с
5000-
3000-
✔
B
OH: B
111.694
HA: 111.694
4000-
D
b. Does the relationship appear roughly linear?
2900-
1300
No, all the points do not fall on a straight line.
No, there are gaps in the graph along the x-axis.
Yes, there is no obvious curvature in the graph
Yes, all the points fall on a straight line.
c. Do the data provide strong evidence that the price of a house in Ames, lowa in dollars and the area
of living space of a house in square feet are associated! State the null and alternative hypotheses,
report the p-value, and state your conclusion.
1. The hypotheses are:
ⒸH₂:₁0
H₁:0
24+05
d. Interpret R.
Ho: 111.694
H₁:111.694
Ho: ₁0
HA: 0
II. The result of this hypothesis test is:
11. The p-value for the test is (round to three decimal places if that value is 0 then enter 0.):
About 49.95% of the variation in the area of living space of a house in square feet is
explained by the least squares line.
Ha:B₁0
HA:B₁0
ⒸH₁:0
HA: >0
the area of living space of a house in square feet is not predictive of the price of a house
in Ames, lowa in dollars.
the area of living space of a house in square feet is predictive of the price of a house in
Ames, lowa in dollars.
About 49.95% of the variation in the price of a house in Ames, lowa in dollars is
explained by the least squares line.
The total unexplained variation in the model.
The total amount of variation in the model.
O the amount of variation in the price of a house in Ames, lowa in dollars that is explained by
the least squares line.
e. What is the equation of the regression line?
Oarea - 111.694 price + 13289.634
area - 13289.634 price + 111.694
Oprice 13289.634 area + 111.694
Oprice 111.694 area+ 13289.634
The amount of variation in the area of living space of a house in square feet that is explained
by the least squares line.
f. Interpret the slope in the context of the model. For each [Select an answer increase in
Select an answer
Select an answer
✔Select an answer
Select an answer
g. Interpret the y-intercept in the context of the model or explain why it should not be interpreted
Owhen the the area of living space of a house in square feet of a house is 0 the expected value
of the price of a house in Ames, lowa in dollars is 13289.634.
Owhen the the price of a house in Ames, lowa in dollars of a house is 0 the expected value of
the area of living space of a house in square feet is 111.694.
On It does not make sense to interpret the y-intercept for this model because no house in the
data had a the area of living space of a house in square feet anywhere close to 0.
When the the price of a house in Ames, lowa in dollars of a house is 0 the expected value of
the area of living space of a house in square feet is 13289.634.
Transcribed Image Text:You are trying to produce an app to replace realtors and reap their commissions (typically 5 to 6% of the property selling price). Your first mission is to produce a tool that helps prospective house buyers estimate the potential selling price of their houses, and you're working on making a regression model to serve as the engine behind the tool. You'd like to make the model as simple as possible, so you are wondering how well you can predict the selling price of a house from just the size of the living area (ignoring garage, etc). In RStudio, run the following code to install and/or library the package "openintro". 1. install.packages("openintro") # don't do this again if you already did this! 2. library(openintro) 3. ames Delete the install line of code if you are in an RMD file so that it doesn't install every time you knit. The last line of code will access the dataset of that name. The table ames' gives information about house prices in the fun college town of Ames, lowa. Use the data set to make a model to predict the price of a house in Ames, lowa in dollars (price") from the area of living space of a house in square feet ("area"). a. Make a scatterplot of "price" (y-axis) vs "area" (xx-axis). Which plot is the scatterplot? Graph A Graph B Graph C Graph D Graph Graph O A $4 845- с 5000- 3000- ✔ B OH: B 111.694 HA: 111.694 4000- D b. Does the relationship appear roughly linear? 2900- 1300 No, all the points do not fall on a straight line. No, there are gaps in the graph along the x-axis. Yes, there is no obvious curvature in the graph Yes, all the points fall on a straight line. c. Do the data provide strong evidence that the price of a house in Ames, lowa in dollars and the area of living space of a house in square feet are associated! State the null and alternative hypotheses, report the p-value, and state your conclusion. 1. The hypotheses are: ⒸH₂:₁0 H₁:0 24+05 d. Interpret R. Ho: 111.694 H₁:111.694 Ho: ₁0 HA: 0 II. The result of this hypothesis test is: 11. The p-value for the test is (round to three decimal places if that value is 0 then enter 0.): About 49.95% of the variation in the area of living space of a house in square feet is explained by the least squares line. Ha:B₁0 HA:B₁0 ⒸH₁:0 HA: >0 the area of living space of a house in square feet is not predictive of the price of a house in Ames, lowa in dollars. the area of living space of a house in square feet is predictive of the price of a house in Ames, lowa in dollars. About 49.95% of the variation in the price of a house in Ames, lowa in dollars is explained by the least squares line. The total unexplained variation in the model. The total amount of variation in the model. O the amount of variation in the price of a house in Ames, lowa in dollars that is explained by the least squares line. e. What is the equation of the regression line? Oarea - 111.694 price + 13289.634 area - 13289.634 price + 111.694 Oprice 13289.634 area + 111.694 Oprice 111.694 area+ 13289.634 The amount of variation in the area of living space of a house in square feet that is explained by the least squares line. f. Interpret the slope in the context of the model. For each [Select an answer increase in Select an answer Select an answer ✔Select an answer Select an answer g. Interpret the y-intercept in the context of the model or explain why it should not be interpreted Owhen the the area of living space of a house in square feet of a house is 0 the expected value of the price of a house in Ames, lowa in dollars is 13289.634. Owhen the the price of a house in Ames, lowa in dollars of a house is 0 the expected value of the area of living space of a house in square feet is 111.694. On It does not make sense to interpret the y-intercept for this model because no house in the data had a the area of living space of a house in square feet anywhere close to 0. When the the price of a house in Ames, lowa in dollars of a house is 0 the expected value of the area of living space of a house in square feet is 13289.634.
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