Suppose you are given the following five pairs of scores: X Y 4 2 1 3 4 6 10 у 4 2 9 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 4 3 2 1 0 + 0 1 2 3 st 10 x 5 X 6 CO 7 8 00 9 10 Based on your scatter diagram, you would expect the correlation to be + (?)

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Chapter1: Starting With Matlab
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Suppose you are given the following five pairs of scores:
X Y
4
2
1
3
4
4
2
6
9 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
3
0 €
0
1
2 3
5
X
6
7
8
9
10
Based on your scatter diagram, you would expect the correlation to be
(?)
Transcribed Image Text:Suppose you are given the following five pairs of scores: X Y 4 2 1 3 4 4 2 6 9 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 3 0 € 0 1 2 3 5 X 6 7 8 9 10 Based on your scatter diagram, you would expect the correlation to be (?)
The mean x score is Mx =
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
X
4
Y
2
1
3
4
4
2
6
9 10
Deviations
X - MX
Y - My
The sum of squares for x is SSx =
and the mean y score is My =
The correlation coefficient is r =
Squared Deviations
Products
(X - MX)² (Y - My)² (X - MX)(Y - My)
Because the sign of the sum of products is
The sum of squares for y is SSy =
The sum of products is SP =
the sign of the correlation coefficient
Look at your scatter diagram again. If you excluded the point (9, 10), you would expect the recalculated correlation coefficient to be
, because
Transcribed Image Text:The mean x score is Mx = 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 X 4 Y 2 1 3 4 4 2 6 9 10 Deviations X - MX Y - My The sum of squares for x is SSx = and the mean y score is My = The correlation coefficient is r = Squared Deviations Products (X - MX)² (Y - My)² (X - MX)(Y - My) Because the sign of the sum of products is The sum of squares for y is SSy = The sum of products is SP = the sign of the correlation coefficient Look at your scatter diagram again. If you excluded the point (9, 10), you would expect the recalculated correlation coefficient to be , because
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