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The number of people living on American farms has declined steadily during the 20 ^{th} century. Here are data on the farm population (in millions of persons) from 1935 to 1980.
Year | 1935 | 1940 | 1945 | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 |
---|---|---|---|---|---|---|---|---|---|---|
Population | 32.1 | 30.5 | 24.4 | 23.0 | 19.1 | 15.6 | 12.4 | 9.7 | 8.9 | 7.2 |
31 . The linear regression equation is $\widehat{y}$ = 1166.93 – 0.5868 x . What was the expected farm population (in millions of persons) for 1980?
32 . In linear regression, which is the best possible SSE ?
33 . In regression analysis, if the correlation coefficient is close to one what can be said about the best fit line?
Use the following information to answer the next three exercises: A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. Here are the data from the students who responded.
Female | Male | |
---|---|---|
Accounting | 68 | 56 |
Administration | 91 | 40 |
Economics | 5 | 6 |
Finance | 61 | 59 |
34 . The distribution for the test is:
35 . The expected number of female who choose finance is:
36 . The p -value is 0.0127 and the level of significance is 0.05. The conclusion to the test is:
37 . An agency reported that the work force nationwide is composed of 10% professional, 10% clerical, 30% skilled, 15% service, and 35% semiskilled laborers. A random sample of 100 San Jose residents indicated 15 professional, 15 clerical, 40 skilled, 10 service, and 20 semiskilled laborers. At α = 0.10 does the work force in San Jose appear to be consistent with the agency report for the nation? Which kind of test is it?
1 . b. independent
2 . c. $\frac{4}{16}\text{}$
3 . b. Two measurements are drawn from the same pair of individuals or objects.
4 . b. $\frac{68}{118}\text{}$
5 . d. $\frac{30}{52}\text{}$
6 . b. $\frac{8}{40}\text{}$
7 . b. 2.78
8 . a. 8.25
9 . c. 0.2870
10 . c. Normal
11 . d. H _{a} : p _{A} ≠ p _{B}
12 . b. conclude that the pass rate for Math 1A is different than the pass rate for Math 1B when, in fact, the pass rates are the same.
13 . b. not reject H _{0}
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