first quantitative variable: ear length the unit of measurement for this variable is inches. a few...

HOW PROPORTIONATE ARE WE?CORRELATION OF EAR AND PINKIE LENGTHS

RESEARCH TEAMDESIGNED POWERPOINT

First Quantitative Variable: Ear Length The unit of measurement for this

variable is INCHES. A few possible values for this first

quantitative variable are 2IN. 2 ½ IN. and 3IN.

Second quantitative variable is Pinky Length The unit of measurement is INCHES. A few possible quantitative variables

are 2IN. 3IN. & 2 ½IN.

Purpose: Find if correlation exists between the pinky finger and ear for a particular person.

For the study we randomly selected and measured a pinky and an ear from each person using a measuring tape.

Data TablePeople Pinky size Ear size

1 2 .5 2 .5

2 3 2.8

3 2 .5 2 .5

4 2 2 .5

5 2 .5 2 .5

6 3 3

7 2.8 2.8

8 2.8 3

9 3.3 3.3

10 2 .5 2 .5

11 2 2

12 3 3

13 2 .5 2 .5

14 3.8 3.8

15 2 .5 2 .5

16 2.6 2.6

17 2.4 2.4

18 2.4 2.4

19 1.6 1.6

20 2.4 2.4

21 2 2

22 2.4 2.3

23 2.2 2.3

24 2 2

25 2.3 2.3

26 2.4 2.4

27 2.4 2.4

28 2.2 2.2

29 1.6 1.7

30 2.4 1.7

31 2.5 2.2

32 2.9 2.5

33 2.2 2.2

34 2.3 2.4

35 2.3 2.2

36 2.4 2.4

Summary Statistics

First Variable: Pinky Length Mean: 2.45556 Standard Deviation: 0.432 Five Number Summary: Minimum: 1.6

First Quartile: 2.2 Median: 2.4 Third Quartile: 2.55 Maximum: 3.75

Range: 2.15 Mode: 2.4 Outliers: 1.6, 3.75

Summary Statistics Cont. Second Variable: Ear Length Mean (pinky size): 2.43333 Standard Deviation: 0.482 Five Number Summary: Minimum: 1.6

First Quartile: 2.2 Median: 2.4 Third Quartile: 2.5 Maximum: 3.75

Range: 2.15 Mode: 2.5 Outliers: 1.6, 3.75

Pinky Size: Box Plot & Histograms

Ear Length: Box Plot & Histogram

Scatter Plots

X axis: Ear Length Y Axis: Pinky Length

1 1.5 2 2.5 3 3.5 40

0.5

1

1.5

2

2.5

3

3.5

4

f(x) = 0.911445242369838 x + 0.195228904847398

Conclusion

The study did show a significant correlation between pinky length and ear length.

Our correlation coefficient is above this (at 0.862) and qualifies as being statistically significant. (Critical Value was .325)

So in answer to our question there is a significant correlation between pinky lengths and ear lengths.