MDM4U: Ch 2 and 3: Spreadsheet Assignment
Stats of one variable
Species
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Wingspan
35.5
30.6
30
32.3
23.9
27.7
28.8
35.9
25.4
24.6
28.1
25.9
31.3
23
26.3
23.7
27.1
28.1
25.9
28.8
31.4
28.5
Lifespan
19.8
17.3
27.5
22.4
40.7
18.3
25.9
23.1
24
38.8
36.5
32.5
27.5
31
37.4
22.6
23.1
18.5
32.3
29.1
37
33.7
Measures of central tendency
Mean:
Median:
Mode:
28.30909091
28.1
28.8
28.13636364
27.5
27.5
12.9
3.525675766
12.43038961
12.45421754
23.4
7.224597234
52.19480519
25.67708225
Measures of Spread
Range
Standard Deviation
Variance
Cvar
Measures of position
25.775
28.1
30.775
Q1:
Q2:
Q3:
22.55
27.5
34.4
Charts of z-scores
Species
Z-score of wingspan
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Z-score of lifespan
2.039583208
-1.153886281
0.649778721
-1.499926333
0.47959858
-0.088082922
1.131955788
-0.794004628
-1.25056619
1.73900855
-0.172758628
-1.361510312
0.139238297
-0.309548555
2.153036636
-0.697113413
-0.825115836
-0.572538995
-1.052022691
1.476018111
-0.059305201
1.157661264
-0.683299052
0.603997181
0.848322219
-0.088082922
-1.505836402
0.39637315
-0.569845625
1.282235682
-1.307292903
-0.766321423
-0.34293877
-0.697113413
-0.059305201
-1.333827108
-0.683299052
0.576313977
0.139238297
0.133382711
0.876685576
1.226869274
0.054148227
0.770096406
Z-score of wingspan
2.5
2
1.5
1
0.5
0
-0.5
-1
-1.5
-2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Z-score of lifespan
2
1.5
1
0.5
0
-0.5
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22
-1
-1.5
-2
Box Plot
Wingspan (in millimeters)
40
35
30
25
20
15
10
5
0
1
Lifespan (in days)
45
40
35
30
25
20
15
10
5
0
1
Stats of two variables
Wingspan vs. Lifespan Bargraph
45
40
35
30
25
20
15
10
5
0
#14 #16 #5 #10 #9 #12 #19 #15 #17 #6 #11 #18 #22 #7 #20 #3 #2 #13 #21 #4 #1 #8
Wingspan
Lifespan
Wingspan vs. Lifespan linear correlation
45
40
Lifespan (y)
35
30
25
20
15
y = -0.8445x + 52.043
R² = 0.1698
R = -0.412
10
5
0
0
5
10
15
20
25
30
35
40
Wingspan(x)
Interpretation of The Linear Correlation:
The coefficient of correlation R shows that
there is a moderate negative linear
correlation. I.e. if the wingspan increases
then the lifespan decreases moderately.
Wingspan vs. Lifespan exponential correlation
50
Lifespan (y)
40
30
20
y = 64.005e-0.03x
R² = 0.1698
10
0
0
5
10
15
20
25
30
35
40
Wingspan(x)
Wingspan vs. Lifespan polynomial
order 2 correlation
Lifespan (y)
50
40
30
20
10
0
0
5
10
15
y = 0.0055x2 - 1.1653x + 56.668
R² = 0.17
20
25
30
35
40
Wingspan(x)
Wingspan vs. Lifespan power
correlation
Lifespan (y)
50
40
30
20
y = 497.04x-0.871
R² = 0.1681
10
0
0
5
10
15
20
Wingspan(x)
25
30
35
40
Interpretation of The Non-Linear Correlations:
The coefficients of determination R square show that the
polynomial order 2 correlation is the best. I.e. the points cluster
relatively better around a parabola than other.