More Practice Problems: 1-Way ANOVA
November 24, 2008 by
Filed under ANOVA, Practice Problems
13 1 5
4 1 2
10 2 2
13 2 2
11 2 6
3 4 4
Between
Within
Total
Critical value of F =
3 5 8
9 1 2
5 2 6
11 5 4
Between
Within
Total
Critical value of F = .
Which is candle lasts more days?
Day9: 1-Way ANOVA
Bit More About 1-Way ANOVA
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Practice Problems: 1-Way ANOVA
November 24, 2008 by
Filed under ANOVA, Practice Problems
Item 1
Year in school and car accidents.
10th 11th 12th
2 13 4
9 17 8
3 14 2
1 9 1
7 1 4
SS df ms
Between ____ ___ ____
Within ____ ___ ____
Total ____ ___ ____
F =
Which grade has the most car accidents:
Item 2
House color and people’s stay (in years).
Blue Green Peach
8 11 4
7 9 8
3 7 9
1 18 2
9 12 4
SS df ms
Between ____ ___ ____
Within ____ ___ ____
Total ____ ___ ____
F =
Which color of house is lived in the longest (in years)?
NOW YOU CHOOSE
Day9: 1-Way ANOVA
Bit More About 1-Way ANOVA
Even More About 1-Way ANOVA
Calculate 1-Way ANOVA
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Quiz 9
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More Practice Problems: Regression
November 7, 2008 by
Filed under Practice Problems, Regression
Item 6
If there are 7 professors, how many classes will be taught:
Professors Classes
1 3
4 8
12 13
8 2
7 8
7 9
a =
b =
r =
see =
If X (professors) is 7, Y (classes) will be =
Item 7
If there are 150 candles, how many flowers will a wedding have:
Candles Flowers
22 2
8 4
6 9
3 11
12 4
1 6
16 19
a =
b =
How accurate is your prediction? (see) =
If X is 150 (candles), Y (flowers) will be =
Item 8
How much will tuition (in thousands) be in 1997:
Year Tuition
1990 1
1991 3
1992 9
1993 12
1994 16
a =
b =
[Hint: use the last digit of the year or convert Years to your own integers]
If X (year) is 7, Y (tuition) will be =
Day 6: Regression
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More Practice Problems: Correlation
November 5, 2008 by
Filed under Correlation, Practice Problems
Item 5
How much variance is NOT accounted for between these two variables:
Strength Anxiety
2 3
9 7
3 4
1 1
7 12
SSx = _____
SSy = _____
SSxy = _____
r = _____
r2 = _____
1 – r2 = _____
Item 6
Is there a significant relationship between the number of petals on a flower and how much the elephant plant weighs:
Petals Weight
18 1
15 7
8 11
6 6
4 18
2 22
SSx = _____
SSy = _____
SSxy = _____
r = _____
r2 = _____
Item 7
What percent of variance do love and peace have in common:
Love Peace
12 1
22 3
8 0
19 1
2 11
9 4
7 5
SSx = _____
SSy = _____
SSxy = _____
r = _____
r2 = _____
NOW YOU CHOOSE:
Day 5: Correlation
Bit More About Correlation
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More Practice Problems: t-Test
November 4, 2008 by
Filed under Practice Problems, t-test
7 5
4 3
6 1
6 11
3 8
2 8
1 13
6 9
16 1
14 3
12 9
18 11
12 6
7 1
1 6
4 3
3 9
8 11
2 16
7 11
5 22
3 7
Day 8: Student’s t-Test
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Practice Problems: t-Test
November 4, 2008 by
Filed under Practice Problems, t-test
#1
Calculate am independent t-test for the following data:
X1 X2
6 12
4 4
2 7
3 10
9 5
6 8
5 3
Mean of group 1 _____
Mean of group 2 _____
Difference between the means _____
SS of group 1 _____
SS of group 2 _____
n(n-1) _____
t = _____
How many degrees of freedom (df) at in this study_____
What is the critical value for t (2 tailed, .05 alpha) _____
Is the t significant _____
#2
Calculate am independent t-test for the following data:
X1 X2
15 3
11 5
8 4
12 2
7 6
Mean of group 1 _____
Mean of group 2 _____
SS of X1 _____
SS of X2 _____
t = _____
#3
Calculate am independen t-test for the following data:
X1 X2
6 3
7 5
6 3
8 2
4 7
11 4
t = _____
How many degrees of freedom (df) at in this study ____
What is the critical value for t (2 tailed, .05 alpha) _____
Is the t significant? _____
NOW YOU CHOOSE:
Day 8: Student’s t-Test
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More Practice Problems: ANOR
November 4, 2008 by
Filed under ANOR, Practice Problems
SSx = 98
SSy = 44
N = 13
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ ____
What is the critical value for F: ________
Is the F significant? _________
SSx = 111.3
SSy = 87.8
N = 16
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ ____
What is the critical value for F: ________
Is the F significant? _________
NOW YOU CHOOSE:
Day 7: Probability
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Even More About ANOR
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Practice Problems: ANOR
November 4, 2008 by
Filed under ANOR, Practice Problems
Item 1
Calculate an Analysis of Regression on the following data, where Reading is predicting Education:
Reading Education
15 11
7 8
2 5
9 4
4 4
11 9
What is the Pearson r: _______
Perform the following calculations:
SS df ms
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ __
What is the F for this test: ____________
Item 2
Calculate an Analysis of Regression on the following data, where TV watching predicts Violence:
Television Violence
2 7
4 14
8 12
13 8
16 5
19 2
Perform the following calculations:
SS df ms
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ ____
What is the F for this test: ______
Item 3
To discover if TV watching has a significant impact on people’s shyness, use the following information, perform an Analysis of Regression and complete the following summary table:
r= .88
SSx = 50
SSy = 74
N = 12
SS df ms
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ ____
What is the F for this test: ___________
What is the critical value for F: _________
Is the F significant? ________
Item 4
To discover if learning statistics has a significant impact on people’s friendliness, use the following information, perform an Analysis of Regression and complete the following summary table:
r= .32
SSx = 30
SSy = 66
N = 15
SS df ms
Regression ____ ____ ____
Error ____ ____ ____
TOTAL ____ ____
What is the F for this test: ___________
Is the critical value for F: ____________
NOW YOU CHOOSE:
Day 7: Probability
Bit More About Probability
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Even More About ANOR
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Quiz 7
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Practice Problems: Regression
November 4, 2008 by
Filed under Practice Problems, Regression
8 1
5 6
2 7
1 8
9 2
SSy = _____
SSxy = ____
a = _____
b = _____
12 11
8 7
6 5
2 1
4 3
9 9
14 15
b = _____
r = _____
standard error of estimate (SEE) = _____
1.0 3.9
2.5 3.7
3.3 1.4
4.0 1.0
2.3 2.9
b = _____
3 11
6 6
9 8
11 1
15 2
4 10
5 7
b = _____
r = _____
standard error of estimate (SEE) = _____
9 15
4 5
2 3
11 1
16 18
17 10
b = _____
see = _____
Practice Problems: Correlation
November 3, 2008 by
Filed under Correlation, Practice Problems
Item 1
What is the correlation between these two variables:
Stress Sense of Humor
4 2
10 8
12 11
5 3
7 8
6 7
2 3
14 13
SSx = _____
SSy = _____
SSxy = _____
r = _____
Item 2
What is the correlation between these two variables:
Laughter Statistics
11 19
3 6
5 6
15 12
7 8
6 7
9 14
SSx = _____
SSy = _____
SSxy = _____
r = _____
Item 3
How much variance is accounted for between these two variables:
Strength Speed
12 3
9 7
6 9
3 11
1 15
7 6
SSx = _____
SSy = _____
SSxy = _____
r = _____
rsquared = _____
Item 4
What is the correlation between these two variables:
Strength Peace
2 2
6 5
7 8
14 19
15 12
9 8
4 5
SSx = _____
SSy = _____
SSxy = _____
r = _____
rsquared = _____
NOW YOU CHOOSE:
Day 5: Correlation
Bit More About Correlation
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Quiz 5
Summary
