Create a distribution of 1000 simulated sample statistics we might expect to see if the null hypothesis from part i. is true (check the “Show Shuffle Options” box in the applet and choose the Correlation statistic). State the shape, center, and variability of the distribution of simulated sample statistics and explain why the value of the mean makes sense. Include a screenshot of the distribution belo

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Create a distribution of 1000 simulated sample statistics we might expect to see if the null hypothesis from part i. is true (check the “Show Shuffle Options” box in the applet and choose the Correlation statistic). State the shape, center, and variability of the distribution of simulated sample statistics and explain why the value of the mean makes sense. Include a screenshot of the distribution below.

Select data Choose
Enter data
Pov Birth
14.9
24.8
9.6
12.8
15.2
11.5
9
9.7
10.9
12.4
17.7
16.6
27.8
11
12.5
7.6
14.6
15.2
(Explanatory, Response)
Use Data Clear
n = 50
Show descriptive statistics: ✔
Pov: mean-11.61, SD-2.60
Birth: mean=15.65, SD-5.66
Explore lines
Show Movable Line:
Results
Birth
28
21
14
7
8
Show data options:
12
Pov
Design population for random sampling: Regression table:
Design population
ANOVA table:
16
Show Regression Line: ✔
Birth^= -5.10+ 1.79 x Pov
Show Residuals:
Show Squared Residuals:
Correlation coefficient: r =0.819
R-squared:
Regression SE: O
20
Show Shuffle Options: ✔
Number of Shuffles 1000
Shuffle Y-values
Select display:
O Data O Plot
Most Recent shuffle
Birth
28
21
5
10
15
Pov
20
Most recent shuffled correlation: -0.21
Most Recent Regresssion Line
Birth = 21.01 + -0.46 x Pov
Shuffled r = -0.212
Choose statistic Correlation
Total Shuffles = 1000
Mean -0.008
SD = 0.139
150
5100
50
0
-0.30
0
0.30
Shuffled Correlation
Count shuffles Greater than > ✓
0.61
Count
Transcribed Image Text:Select data Choose Enter data Pov Birth 14.9 24.8 9.6 12.8 15.2 11.5 9 9.7 10.9 12.4 17.7 16.6 27.8 11 12.5 7.6 14.6 15.2 (Explanatory, Response) Use Data Clear n = 50 Show descriptive statistics: ✔ Pov: mean-11.61, SD-2.60 Birth: mean=15.65, SD-5.66 Explore lines Show Movable Line: Results Birth 28 21 14 7 8 Show data options: 12 Pov Design population for random sampling: Regression table: Design population ANOVA table: 16 Show Regression Line: ✔ Birth^= -5.10+ 1.79 x Pov Show Residuals: Show Squared Residuals: Correlation coefficient: r =0.819 R-squared: Regression SE: O 20 Show Shuffle Options: ✔ Number of Shuffles 1000 Shuffle Y-values Select display: O Data O Plot Most Recent shuffle Birth 28 21 5 10 15 Pov 20 Most recent shuffled correlation: -0.21 Most Recent Regresssion Line Birth = 21.01 + -0.46 x Pov Shuffled r = -0.212 Choose statistic Correlation Total Shuffles = 1000 Mean -0.008 SD = 0.139 150 5100 50 0 -0.30 0 0.30 Shuffled Correlation Count shuffles Greater than > ✓ 0.61 Count
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