NorthWest Arkansas Community College Regression Statistics Exam Practice

Question Description

QUESTION 1

Given the data below, a researcher would like to know whether someone’s age group affects their choice of toilet paper brand.

Observed
Brand A Brand B Brand C Sum
Teen 120 130 110 360
Mid-Age 77 127 140 344
Senior 84 100 98 282
281 357 348 986

A complete answer should:

Indicate which test she should use.
State hypotheses
Report if the test was significant and what decision is made
Run any necessary post-hoc analysis (and paste the result in the answer)
Provide a conclusion sentence and the statistics in APA format.

QUESTION 2

A tutor measures her students with a 5 point algorithm, and she would like to know if her 6 students improved this month.

Student Day 1 Day 30
A 2.4 3.0
B 2.5 2.8
C 3.0 2.9
D 2.9 2.4
E 2.7 3.5
F 2.1 2.9

A complete answer should:

Indicate which test she should use.
State hypotheses
Report if the test was significant and what decision is made
Provide a conclusion sentence and the statistics in APA format.

QUESTION 3:

For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:

What test was used
What the test measures
Whether the test is significant
What the result/decision was in terms of the variables and if any additional testing is necessary.
Report the statistics in APA format.
Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)

SUMMARY OUTPUT

Regression Statistics
Multiple R 0.237673
R Square 0.056489
Adjusted R Square 0.015466
Standard Error 20.51556
Observations 25

ANOVA
df SS MS F Significance F
Regression 1 579.5726 579.5726 1.377023 0.252618
Residual 23 9680.427 420.8881
Total 24 10260

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 63.68956 6.886156 9.248928 3.27E-09 49.44446 77.93465 49.44446 77.93465
Absences -1.72595 1.47081 -1.17347 0.252618 -4.76855 1.316657 -4.76855 1.316657

QUESTION 4

For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:

Observed Values Expected Values
Attended Did Not Attend Sum Attended Did Not Attend
Joined 10 12 22 Joined 6.695652 15.30435
Did Not Join 4 20 24 Did Not Join 7.304348 16.69565
14 32 46

Observed Expected (O-E)2 (O-E)2 /E
Joined and Attended 10 6.695652174 10.91871 1.630717
Did Not Join and Did Not Attend 12 15.30434783 10.91871 0.713439
Joined and Attended 4 7.304347826 10.91871 1.494824
Did Not Join and Did Not Attend 20 16.69565217 10.91871 0.653986
X2 4.492965

P Value 0.034035

QUESTION 5

A principal wanted to know if the location of testing affected student performance on a statewide standardized test. He collected the following data:

Control 60 degrees Classical Music Next to Cafeteria
31 53 27 29
16 39 36 18
11 71 32 16
19 39 14 20
43 54 40 7
49 41 60 12
4 9 47 20
11 17 2 45
34 13 27 33
39 8 5 53
60 32 55 23
40 29 53 24
57 35 27 18
59 45 4 49
43 42 50 29

A complete answer should:

Indicate which test should be used.
State hypotheses
Report if the test was significant and what decision is made
Provide a conclusion sentence and the statistics in APA format.

QUESTION 6

For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:

What test was used
What the test measures
Whether the test is significant
What the result/decision was in terms of the variables and if any additional testing is necessary.
Report the statistics in APA format.
Make a statement of conclusion about what a researcher would learn from this result.
SUMMARY
Groups Count Sum Average Variance
Group 1 25 1467 58.68 253.2267
Group 2 25 1525 61 628.75
Group 3 25 1592 63.68 403.2267

Source of Variation SS df MS F P-value F crit
Between Groups 7698.107 2 3849.053 8.984695 0.000329 3.123907
Within Groups 30844.88 72 428.4011

Total 38542.99 74

QUESTION 7

Given the data below, does the number of minutes spent exercises affect the number of glasses of water a person consumes?

Glasses of Water Minutes
1 50
1 27
1 25
2 67
2 25
2 50
3 80
3 33
3 15
3 76
3 38
3 41
3 22
4 84
4 67
4 69
4 81
4 55

A complete answer should:

Indicate which test she should use.
Report if the test was significant and what decision is made
Provide a conclusion sentence and the statistics in APA format.

QUESTION 8

For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:

Group 1 Group 2
Mean 61.90909 49.64
Variance 341.5152 472.9067
Observations 22 25
Hypothesized Mean Difference 0
df 45
t Stat 2.090657
P(T<=t) one-tail 0.021119
t Critical one-tail 1.679427
P(T<=t) two-tail 0.042237
t Critical two-tail 2.014103

QUESTION 9

For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:

t-Test: Paired Two Sample for Means

Group 1 Group 2
Mean 67 84.38461538
Variance 423.1666667 209.4230769
Observations 13 13
Pearson Correlation 0.129328052
Hypothesized Mean Difference 0
df 12
t Stat -2.659252971
P(T<=t) one-tail 0.010410066
t Critical one-tail 1.782287556
P(T<=t) two-tail 0.020820131
t Critical two-tail 2.17881283

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