Give a practical interpretation of the coefficient of determination. O 82.57% of the differences in home asking price are caused by differences in square footage. O 82.57% of the sample variation in home asking price can be explained by the least-squares regression line. O We can predict the home asking price correctly 90.87% of the time using square footage in a least- squares regression line. O 90.87% of the sample variation in home asking price can be explained by the least-squares regression line. We can predict the home asking price correctly 82.57% of the time using square footage in a least- squares regression line. O 90.87% of the differences in home asking price are caused by differences in square footage. Is it reasonable to use the regression equation to make a prediction for a 550 square foot house? Justify your answer. O No, r does not indicate that there is a reasonable amount of correlation. O No, this prediction is far outside the scope of available data. O No, the regression line does not fit the points reasonably well. Yes, all of the criteria are met.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Answer the 2 questions from the page with the question starting with "Give a practical interpretation..."

A myopenmath.com
MyOpenMath
b Answered: Surveys can give useful information.. | bartleby
1800
1600
1400
1200
SUMMARY OUTPUT
1000
800
Regression Statistics
Multiple R
0.908689165
600
R Square
0.825715999
400
Adjusted R Square
0.800818284
200
Standard Error
166.9198439
Observations
9
1000
2000
3000
4000
5000
6000
ANOVA
df
MS
F
Significance F
Regression
1
924032.3089 924032.3 33.16433
0.000692097
Residual
7
195035.64 27862.23
Total
1119067.949
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
-48.51516784
133.4610236 -0.36352
0.72695
-364.1003409 267.070005 -364.1003409 267.0700052
Sqft
0.281922541
0.048954677 5.758848 0.000692
0.166163124 0.39768196
0.166163124 0.397681958
What is the regression equation?
Oy
- 48.52 + 0.28x
- 48.52 + 0.28x
48.52х + 0.28
y = - 48.52x + 0.28
Interpret the y – intercept of the line.
O On average, when x =
0, a house costs – $48, 515.
O On average, each increase in 1 square foot of a house decreases its asking price by $48, 515.
On average, when x =
0, a house has 282 square feet.
On average, each increase in 1 square foot of a house increases its asking price by $282.
O We should not interpret the y – intercept in this problem.
O We should interpret the y – intercept, but none of the above are correct.
Transcribed Image Text:A myopenmath.com MyOpenMath b Answered: Surveys can give useful information.. | bartleby 1800 1600 1400 1200 SUMMARY OUTPUT 1000 800 Regression Statistics Multiple R 0.908689165 600 R Square 0.825715999 400 Adjusted R Square 0.800818284 200 Standard Error 166.9198439 Observations 9 1000 2000 3000 4000 5000 6000 ANOVA df MS F Significance F Regression 1 924032.3089 924032.3 33.16433 0.000692097 Residual 7 195035.64 27862.23 Total 1119067.949 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -48.51516784 133.4610236 -0.36352 0.72695 -364.1003409 267.070005 -364.1003409 267.0700052 Sqft 0.281922541 0.048954677 5.758848 0.000692 0.166163124 0.39768196 0.166163124 0.397681958 What is the regression equation? Oy - 48.52 + 0.28x - 48.52 + 0.28x 48.52х + 0.28 y = - 48.52x + 0.28 Interpret the y – intercept of the line. O On average, when x = 0, a house costs – $48, 515. O On average, each increase in 1 square foot of a house decreases its asking price by $48, 515. On average, when x = 0, a house has 282 square feet. On average, each increase in 1 square foot of a house increases its asking price by $282. O We should not interpret the y – intercept in this problem. O We should interpret the y – intercept, but none of the above are correct.
A myopenmath.com
MyOpenMath
b Answered: Surveys can give useful information.. | bartleby
Give a practical interpretation of the coefficient of determination.
O 82.57% of the differences in home asking price are caused by differences in square footage.
O 82.57% of the sample variation in home asking price can be explained by the least-squares regression
line.
We can predict the home asking price correctly 90.87% of the time using square footage in a least-
squares regression line.
90.87% of the sample variation in home asking price can be explained by the least-squares regression
line.
We can predict the home asking price correctly 82.57% of the time using square footage in a least-
squares regression line.
90.87% of the differences in home asking price are caused by differences in square footage.
Is it reasonable to use the regression equation to make a prediction for a 550 square foot house? Justify your
answer.
O No, r does not indicate that there is a reasonable amount of correlation.
O No, this prediction is far outside the scope of available data.
No, the regression line does not fit the points reasonably well.
O Yes, all of the criteria are met.
Submit Question
Transcribed Image Text:A myopenmath.com MyOpenMath b Answered: Surveys can give useful information.. | bartleby Give a practical interpretation of the coefficient of determination. O 82.57% of the differences in home asking price are caused by differences in square footage. O 82.57% of the sample variation in home asking price can be explained by the least-squares regression line. We can predict the home asking price correctly 90.87% of the time using square footage in a least- squares regression line. 90.87% of the sample variation in home asking price can be explained by the least-squares regression line. We can predict the home asking price correctly 82.57% of the time using square footage in a least- squares regression line. 90.87% of the differences in home asking price are caused by differences in square footage. Is it reasonable to use the regression equation to make a prediction for a 550 square foot house? Justify your answer. O No, r does not indicate that there is a reasonable amount of correlation. O No, this prediction is far outside the scope of available data. No, the regression line does not fit the points reasonably well. O Yes, all of the criteria are met. Submit Question
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman