1. A 2D data set S has the following averages and SDs. Average SD 100 x-coordinate 4 y-coordinate 450 20 The correlation coefficient is r = 0.8. The scatter diagram of the data set S is football-shaped. Let L be the regression line to estimate y from x. a. Find the r.m.s. of the regression line L. b. Estimate the y-coordinate of a point in the data set S whose x-coordinate is T = 108. How likely is this estimate to be off?

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
Question
1. A 2D data set S has the following averages and SDs.
Average SD
X-coordinate
100
4
y-coordinate
450
20
The correlation coefficient is r =
0.8. The scatter diagram of the data set S is
%3D
football-shaped. Let L be the regression line to estimate y from r.
a. Find the r.m.s. of the regression line L.
b. Estimate the y-coordinate of a point in the data set S whose x-coordinate is
x = 108. How likely is this estimate to be off?
c. Estimate the y-coordinate of a point in the data set S whose x-coordinate is
x = 101. How likely is this estimate to be off?
d. Estimate the y-coordinate of a point in the data set S whose x-coordinate is
x = 98. How likely is this estimate to be off?
%3D
e. From all the data points in S with r-coordinate r = 108, find the approximate
percentage of these points whose y-coordinate is in the interval [458, 478].
f. From all the data points in S with r-coordinate x 108, find the approximate
percentage of these points whose y-coordinate is in the interval [464, 484].
108, find the approximate
g. From all the data points in S with x-coordinate x =
90th percentile.
Transcribed Image Text:1. A 2D data set S has the following averages and SDs. Average SD X-coordinate 100 4 y-coordinate 450 20 The correlation coefficient is r = 0.8. The scatter diagram of the data set S is %3D football-shaped. Let L be the regression line to estimate y from r. a. Find the r.m.s. of the regression line L. b. Estimate the y-coordinate of a point in the data set S whose x-coordinate is x = 108. How likely is this estimate to be off? c. Estimate the y-coordinate of a point in the data set S whose x-coordinate is x = 101. How likely is this estimate to be off? d. Estimate the y-coordinate of a point in the data set S whose x-coordinate is x = 98. How likely is this estimate to be off? %3D e. From all the data points in S with r-coordinate r = 108, find the approximate percentage of these points whose y-coordinate is in the interval [458, 478]. f. From all the data points in S with r-coordinate x 108, find the approximate percentage of these points whose y-coordinate is in the interval [464, 484]. 108, find the approximate g. From all the data points in S with x-coordinate x = 90th percentile.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
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