Correlation Statistics Homework

Running head: CORRELATION STATISTICS HOMEWORK 1

Student Name

Institutional Affiliation

CORRELATION STATISTICS HOMEWORK 2

Correlation Statistics Homework

1. Table of height in inches and weight in pounds of 20 people

Height (inches)

Weight (pounds)

4.1

102

4.4

121

4.3

111

4.7

118

5.1

104

5.2

122

5.3

128

5.6

137

5.5

142

5.4

159

5.6

155

5.9

173

5.7

145

5.8

127

CORRELATION STATISTICS HOMEWORK 3

2. Scatter plot between body weight and height

From the above scatter plot, it is evident that there is a positive correlation between the body

weight and height of the people sampled (Morrow, Mood, Disch, & Kang, 2016).

2.1 Calculating for (r)

Height (Inches)

Weight (lb)

Subject

0 50 100 150 200 250

Height (Inches)

Weight (lb)

6.2

162

6.1

158

6.6

179

6.5

171

7.2

207

7.9

210

CORRELATION STATISTICS HOMEWORK 4

4.1

16.81

102

10404

418.2

4.4

19.36

121

14641

532.4

4.3

18.49

111

12321

477.3

4.7

22.09

118

13924

554.6

5.1

26.01

104

10816

530.4

5.2

27.04

122

14884

634.4

5.3

28.09

128

16384

678.4

5.6

31.36

137

18769

767.2

5.5

30.25

142

20164

781.0

5.4

29.16

159

25281

858.6

5.6

31.36

155

24025

868.0

5.9

34.81

173

29929

1020.7

5.7

32.49

145

21025

856.5

5.8

33.64

127

16129

736.6

6.2

38.44

162

26244

1004.4

6.1

37.21

158

24964

963.8

CORRELATION STATISTICS HOMEWORK 5

6.6

43.56

179

32041

1181.4

6.5

42.25

171

29241

1111.5

7.2

51.84

207

42849

1490.4

7.9

62.41

210

44100

1659.0

20n 

113.1X 



656.67X 



2931Y 



448135Y 



17124.8XY 



    

 

n XY X Y

n X X n Y Y





   



   

   

  

   

(Johnson & Kuby, 2012; Matthews &

Kostelis, 2011)

  

 

 

20(17124.8) 113.1 2931

20 656.67 (12791.61) 20(448135) (8590761)











341.79

609.87

0.56



0.3136r 

3. The r in this sample is 0.56, which means that there is a moderate positive relationship

between the body weight and the height of the people sampled.

4. The coefficient of determination that is denoted as r

is 0.3136. It shows that 31.36% of the

total variation in body weight can be explained by height of the person; the other 68.64% cannot

be explained by the height of the person (Eriksson, Byrne, Johansson, Trygg, & Vikstro

m, 2013).

CORRELATION STATISTICS HOMEWORK 6

References

Eriksson, L., Byrne, T., Johansson, E., Trygg, J., & Vikstro

m, C. (2013). Multi- and megavariate

data analysis: Basic principles and applications (3

revised ed.). Malmo

: MKS Umetrics

AB.

Johnson, R., & Kuby, P. (2012). Elementary statistics. Boston, MA: Brooks/Cole.

Matthews, T. D., & Kostelis, K. T. (2011). Designing and conducting research in health and

human performance. San Francisco, CA: Jossey-Bass.

Morrow, J. R., Mood, D., Disch, J. G., & Kang, M. (2016). Measurement and evaluation in

human performance. Champaign, IL : Human Kinetics.

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