28. One of the formulas for computing r isUsing the data in Exercise 27, compute r with this29. Compute r for the data set shown. Explain the reason forSection 10-2 Regression555Extending the ConceptsE(x – x)(y – y)r =compute r again. Compare this value with the previous one.Explain the results of the comparison.(n - 1)(s,)(s,)35y31130. Compute r for the following data and test the hypothesisHo: p = 0. Draw the scatter plot; then explain the results.formula. Compare the results.Coalue of r. Now, interchange the values of x and y and-3-2-11y941149.10-2 RegressionIn studying relationships between two variables, collect the data and then construct a scat-ter plot. The purpose of the scatter plot, as indicated previously, is to determine the natureof the relationship between the variables. The possibilities include a positive linear rela-tionship, a negative linear relationship, a curvilinear relationship, or no discernible rela-tionship. After the scatter plot is drawn and a linear relationship is determined, the nexOBJECTIVECompute the equation of theregression line. istteps are to compute the value of the correlation coefficient and to test the significance ofthe relationship. If the value of the correlation coefficient is significant, the next step is toni b s determine the equation of the regression line, which is the data's line of best fit. (Note:DIE Determining the regression line when r is not significant and then making predictionsusing the regression line are meaningless.) The purpose of the regression line is to enablethe researcher to see the trend and make predictions on the basis of the data.ine of Best FitFignre 10-10 shows a scatter plot for the data of two variables. It shows that several linesCA be drawn on the graph near the points. Given a scatter plot, you must be able to drawd toon the lne of best fit. Best fit means that the sum of the squares of the vertical distances fromeach point to the line is at a minimum.FIGURE 10-10Scatter Plot with Three LinesFit to the Data10-17 A line of best fit does what ?Curves through all of the pointsGoes through the middle area of the pointsFits closest to the points so that distances area.b.Page 555С.kept at a minimum.d.None of these

A line of best fit does what ? Curves through all of the points Goes through the middle area of the points Fits closest to the points so that distances are kept at a minimum. a. b. С. d. None of these

A line of best fit does what ? Curves through all of the points Goes through the middle area of the points Fits closest to the points so that distances are kept at a minimum. a. b. С. d. None of these

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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Question

28. One of the formulas for computing r is
Using the data in Exercise 27, compute r with this
29. Compute r for the data set shown. Explain the reason for
Section 10-2 Regression
555
Extending the Concepts
E(x – x)(y – y)
r =
compute r again. Compare this value with the previous one.
Explain the results of the comparison.
(n - 1)(s,)(s,)
3
5
y
3
11
30. Compute r for the following data and test the hypothesis
Ho: p = 0. Draw the scatter plot; then explain the results.
formula. Compare the results.
Coalue of r. Now, interchange the values of x and y and
-3
-2
-1
1
y
9
4
1
1
4
9.
10-2 Regression
In studying relationships between two variables, collect the data and then construct a scat-
ter plot. The purpose of the scatter plot, as indicated previously, is to determine the nature
of the relationship between the variables. The possibilities include a positive linear rela-
tionship, a negative linear relationship, a curvilinear relationship, or no discernible rela-
tionship. After the scatter plot is drawn and a linear relationship is determined, the nex
OBJECTIVE
Compute the equation of the
regression line. ist
teps are to compute the value of the correlation coefficient and to test the significance of
the relationship. If the value of the correlation coefficient is significant, the next step is to
ni b s determine the equation of the regression line, which is the data's line of best fit. (Note:
DIE Determining the regression line when r is not significant and then making predictions
using the regression line are meaningless.) The purpose of the regression line is to enable
the researcher to see the trend and make predictions on the basis of the data.
ine of Best Fit
Fignre 10-10 shows a scatter plot for the data of two variables. It shows that several lines
CA be drawn on the graph near the points. Given a scatter plot, you must be able to draw
d to
on the lne of best fit. Best fit means that the sum of the squares of the vertical distances from
each point to the line is at a minimum.
FIGURE 10-10
Scatter Plot with Three Lines
Fit to the Data
10-17

A line of best fit does what ?
Curves through all of the points
Goes through the middle area of the points
Fits closest to the points so that distances are
a.
b.
Page 555
С.
kept at a minimum.
d.
None of these

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