class12 regression
TRANSCRIPT
![Page 1: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/1.jpg)
DATA ANALYSIS20 NOVEMBER 2014
![Page 2: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/2.jpg)
THEORY, PROPOSITIONS, LOGIC
![Page 3: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/3.jpg)
Hypotheses are“tested”
Hypotheses are never“proved”
Hypotheses only are“rejected”
Theories are built and verified by testing hypotheses
![Page 4: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/4.jpg)
TruthHo true Ho false
Decision
Fail to reject Ho
Reject Ho
![Page 5: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/5.jpg)
Error
Error
TruthHo true Ho false
Decision
Fail to reject Ho
Reject Ho
![Page 6: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/6.jpg)
Type 1error
Type 2error
TruthHo true Ho false
Decision
Fail to reject Ho
Reject Ho
![Page 7: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/7.jpg)
TRADITIONALLY, probability of Type 1
error set at .05
Minimize Type 2error by
increasing sample size
TruthHo true Ho false
Decision
Fail to reject Ho
Reject Ho
![Page 8: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/8.jpg)
Fitting a straight line through a swarm of bivariate data
![Page 9: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/9.jpg)
Y = a + bx
![Page 10: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/10.jpg)
Y
X
(x, y)
e
a y = a + bx + e
b = y / x
Y = + X
![Page 11: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/11.jpg)
Is there no relationship between Y and X in the population?
• H0: yx = 0
Is the slope of the line = 0 in the population?
• H0: = 0
![Page 12: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/12.jpg)
Null hypothesis is H0: yx = 0
Alternate hypothesis is H1: yx ≠ 0
a = .05 Y = + X
![Page 13: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/13.jpg)
Null hypothesis is H0: = 0
Alternate hypothesis is H1: ≠ 0
a = .05 Y = + X
![Page 14: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/14.jpg)
Rscript
Attaches mtcars and examines its characteristics
![Page 15: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/15.jpg)
Rscript
Console
![Page 16: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/16.jpg)
Rscript
Console
a b
![Page 17: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/17.jpg)
Rscript
Console
![Page 18: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/18.jpg)
Rscript
Console
![Page 19: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/19.jpg)
Rscript
Console
![Page 20: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/20.jpg)
Rscript
Console
![Page 21: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/21.jpg)
Rscript
Plot
![Page 22: Class12 regression](https://reader031.vdocuments.net/reader031/viewer/2022032002/55a75e4f1a28ab112d8b464e/html5/thumbnails/22.jpg)
DATA ANALYSIS20 NOVEMBER 2014