4. Scatter plots and calculating correlation 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 (th upper right corner of the tool, and drag it to the appropriate location on the grid. (?) 10 9 8 7 6 5 لنا

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Problem Set: Chapter 14 Correlation and Regression
4. Scatter plots and calculating correlation
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.
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Transcribed Image Text:K MindTap Practice Activities X MindTap - Cengage Learning X SOLVED:Suppose you are give X + om/static/nb/ui/evo/index.html?deploymentid=5993922479915302375320682794&elSBN=9780357035542&snapshotld=2925637&id=14800 Home Kids Sports & You... Mail-Shanice Cla... New Tab doctors mistreatin... CENGAGE MINDTAP Problem Set: Chapter 14 Correlation and Regression 4. Scatter plots and calculating correlation 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 MacBook Pro 3 C $ 4 G Search or type URL % A 5 6 & 7 ☆ * 8 + ( 9 0
Mind Tap Practice Activities X
MindTap - Cengage Learning X
SOLVED:Suppose you are give X +
m/static/nb/ui/evo/index.html?deploymentid=5993922479915302375320682794&elSBN=9780357035542&snapshotid=2925637&id=148000E
me
Kids Sports & You...
Mail-Shanice Cla...
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doctors mistreatin...
CENGAGE MINDTAP
Problem Set: Chapter 14 Correlation and Regression
Based on your scatter diagram, you would expect the correlation to be
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
Squared Deviations
Products
X
Y
Y - MY
(X - MX)² (Y-My)² (X-MX)(Y - My)
4
2
1
3
4 4
2 6
9 10
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 sign of the correlation coefficient
The correlation coefficient is r = Y.
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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Transcribed Image Text:Mind Tap Practice Activities X MindTap - Cengage Learning X SOLVED:Suppose you are give X + m/static/nb/ui/evo/index.html?deploymentid=5993922479915302375320682794&elSBN=9780357035542&snapshotid=2925637&id=148000E me Kids Sports & You... Mail-Shanice Cla... New Tab doctors mistreatin... CENGAGE MINDTAP Problem Set: Chapter 14 Correlation and Regression Based on your scatter diagram, you would expect the correlation to be 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 Squared Deviations Products X Y Y - MY (X - MX)² (Y-My)² (X-MX)(Y - My) 4 2 1 3 4 4 2 6 9 10 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 sign of the correlation coefficient The correlation coefficient is r = Y. Look at your scatter diagram again. If you excluded the point (9, 10), you would expect the recalculated correlation coefficient to be because Grade It Now MacBook Pro + G Search or type URL & % 731 4 5 6 7 X - MX * 00 8 ( 9 Save & Continue Continue without saving ** 0 O
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