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?
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F492f944a-31ba-4956-9c57-d4325e35e711%2F0fabf32b-2aa9-48d5-8d60-92bba64b38e0%2F5jglk27_processed.png&w=3840&q=75)
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.
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