A Hóu Earth Solutions team was hired to evaluate a vast collection of clown suit
ID: 3224333 • Letter: A
Question
A Hóu Earth Solutions team was hired to evaluate a vast collection of clown suits while worn by monkeys. Since many people have coulrophobia (fear of clowns), Hóu’s data scientists decided to correlate the team members’ clown anxiety levels (higher values = higher anxiety) with how many minutes the team members could stay alone in a room with a man in a clown suit.
Clown Length of
Anxiety time in room
Score with clown
(out of 100) (in minutes)
77 10
20 45
25 46
72 18
70 13
35 48
42 27
15 56
67 11
66 15
Formulate the null hypothesis for this data:
2. Formulate a research/alternate hypothesis for this data:
3. Calculate the correlation coefficient [show all work!].
Final answer: ____________________
4. Indicate the results in a complete sentence [including the statistical clause*]:
* [r (n) = .xx, p < or > .05] [NOTE: significance table is at end of test]
5. Calculate the coefficient of determination [show all work!].
6. What percent of variance is (1) accounted for and (2) not accounted for?
(1)
(2)
7. What are three other variables that would explain the unaccounted for variance?
(1)
(2)
(3)
8. Was your hypothesis supported or rejected?
Directions: There are 2 Correlation Outputs. See the appropriate SPSS output files to interpret the correlation results of the following variables.
Correlation 1: From data submitted by the statistics classes regarding Apple, Inc. vs. the FBI. The variables are: Years of Education and Belief that Apple should keep iPhones locked (values: 1 [unlock] – 7 [keep locked])
1. State your correlational HA before viewing the Output File 1:
2. Indicate the results in a complete sentence [including the statistical clause*]:
* [r (n) = .xx, p < or > .05]
3. Specify the percent of variability accounted for:
4. Specify the percent of variability not accounted for:
5. Indicate 3 variables that might explain the unaccounted for variance:
1.
2.
6. Was your hypothesis supported or rejected?
Correlation 2: From the Bureau of Labor Statistics’ data on pay equity. The variables are: Years of the last decade (2005-2015) and Median Weekly Salary
1. State your correlational HA before viewing the Output File 2:
2. Indicate the results in a complete sentence [including the statistical clause*]:
* [r (n) = .xx, p < or > .05]
3. Specify the percent of variability accounted for:
4. Specify the percent of variability not accounted for:
5. Indicate 3 variables that might explain the unaccounted for variance:
1.
2.
3.
6. Was your hypothesis supported or rejected?
Final answer: ____________________
Explanation / Answer
(1) Ho: 1 = 0
(2) Ha: 0
(3) r = -0.961
(4) Since the p- value for 1 is 0, we reject Ho and conclude that a linear relationship exists between x and y.
Regression Analysis r² 0.924 n 10 r -0.961 k 1 Std. Error 5.251 Dep. Var. Y ANOVA table Source SS df MS F p-value Regression 2,676.3043 1 2,676.3043 97.06 9.49E-06 Residual 220.5957 8 27.5745 Total 2,896.9000 9 Regression output confidence interval variables coefficients std. error t (df=8) p-value 95% lower 95% upper std. coeff. Intercept 64.0323 0.000 x -0.7185 0.0729 -9.852 9.49E-06 -0.8866 -0.5503 -0.961Related Questions
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