Suppose you are given the following five pairs of scores: X Y 3 1 4 2 6 3 2 4 10 10 Create a scatter diagram of these scores in the following diagram. For each of the five (X, Y) pairs, click on the plotting symbol (the black X) in the upper right corner of the tool, and drag it to the appropriate location on the grid. > 10 9 8 7 6 5 + ? Based on your scatter diagram, you would expect the correlation to be positive The mean x score is Mx = and the mean y score is My = Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores Deviations × Y X - Mx Y - MY 3 1 4 2 60 3 2 4 10 10 Squared Deviations Products (X-MX)² (Y - MY) 2 (X-MX) (Y - MY) The sum of squares for x is SSX = The sum of squares for y is SSy = The sum of products is SP = Because the sign of the sum of products is The correlation coefficient is r = the sign of the correlation coefficient Look at your scatter diagram again. If you excluded the point (10, 10), you would expect the recalculated correlation coefficient to be because
Suppose you are given the following five pairs of scores: X Y 3 1 4 2 6 3 2 4 10 10 Create a scatter diagram of these scores in the following diagram. For each of the five (X, Y) pairs, click on the plotting symbol (the black X) in the upper right corner of the tool, and drag it to the appropriate location on the grid. > 10 9 8 7 6 5 + ? Based on your scatter diagram, you would expect the correlation to be positive The mean x score is Mx = and the mean y score is My = Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores Deviations × Y X - Mx Y - MY 3 1 4 2 60 3 2 4 10 10 Squared Deviations Products (X-MX)² (Y - MY) 2 (X-MX) (Y - MY) The sum of squares for x is SSX = The sum of squares for y is SSy = The sum of products is SP = Because the sign of the sum of products is The correlation coefficient is r = the sign of the correlation coefficient Look at your scatter diagram again. If you excluded the point (10, 10), you would expect the recalculated correlation coefficient to be because
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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Transcribed Image Text:Suppose you are given the following five pairs of scores:
X
Y
3
1
4
2
6
3
2
4
10
10
Create a scatter diagram of these scores in the following diagram. For each of the five (X, Y) pairs, click on the plotting symbol (the black X) in the
upper right corner of the tool, and drag it to the appropriate location on the grid.
>
10
9
8
7
6
5
+
?
Transcribed Image Text:Based on your scatter diagram, you would expect the correlation to be positive
The mean x score is Mx =
and the mean y score is My =
Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the
squares of the deviations, and the products of the deviations.
Scores
Deviations
×
Y
X - Mx
Y - MY
3
1
4
2
60
3
2
4
10
10
Squared Deviations
Products
(X-MX)² (Y - MY) 2 (X-MX) (Y - MY)
The sum of squares for x is SSX
=
The sum of squares for y is SSy
=
The sum of products is SP =
Because the sign of the sum of products is
The correlation coefficient is r =
the sign of the correlation coefficient
Look at your scatter diagram again. If you excluded the point (10, 10), you would expect the recalculated correlation coefficient to be
because
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