MATH 111 Assignment 2: Testing for Correlation by Linear Regression

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AUO_MAT111_M3A2_TestingforCorrelationbyLinearRegression.xls
Home>Mathematics homework help>Statistics homework help>MATH 111 Assignment 2: Testing for Correlation by Linear Regression

Study 1

Brain Weight Body Weight
3.385 44.5
0.48 15.5
1.35 8.1
465 423
36.33 119.5
27.66 115
14.83 98.2
1.04 5.5
4.19 58
0.425 6.4
0.101 4
0.92 5.7
1 6.6
0.005 0.14
0.06 1
3.5 10.8
2 12.3
1.7 6.3
2547 4603
0.023 0.3
187.1 419
521 655
0.785 3.5
10 115
3.3 25.6
0.2 5
1.41 17.5
529 680
207 406
85 325
0.75 12.3
62 1320
6654 5712
3.5 3.9
6.8 179
35 56
4.05 17
0.12 1
0.023 0.4
0.01 0.25
1.4 12.5
250 490
2.5 12.1
55.5 175
100 157
52.16 440
10.55 179.5
0.55 2.4
60 81
3.6 21
4.288 39.2
0.28 1.9
0.075 1.2
0.122 3
0.048 0.33
192 180
3 25
160 169
0.9 2.6
1.62 11.4
0.104 2.5
4.235 50.4
Question: Is there a correlation between brain weight and body weight across mammalian species?
References: Spaeth, H. (1991). Mathematical algorithms for linear regression. New York, NY: Academic Press. Weisberg, S. (1980). Applied linear regression. New York, NY: John Wiley & Sons.

Study 2

Water Temperature Length of Fish
25 620
25 1315
25 2120
25 2600
25 3110
25 3535
25 3935
25 4465
25 4530
25 4570
25 4600
27 625
27 1215
27 2110
27 2805
27 3255
27 4015
27 4315
27 4495
27 4535
27 4600
27 4600
29 590
29 1305
29 2140
29 2890
29 3920
29 3920
29 4515
29 4520
29 4525
29 4565
29 4566
31 590
31 1205
31 1915
31 2140
31 2710
31 3020
31 3030
31 3040
31 3180
31 3257
31 3214
Question: Is there a correlation between water temperature and the length that fish grow to?

Study 3

Age Systolic Blood Pressure
39 144
47 220
45 138
47 145
65 162
46 142
67 170
42 124
67 158
56 154
64 162
56 150
59 140
34 110
42 128
48 130
45 135
17 114
20 116
19 124
36 136
50 142
39 120
21 120
44 160
53 158
63 144
29 130
25 125
69 175
Question: Is there a correlation between age and systolic blood pressure?

Example

Chirps/Second Temperature (F)
20 88.6
16 71.6
19.8 93.3
18.4 84.3
17.1 80.6
15.5 75.2
14.7 69.7
15.7 71.6
15.4 69.4
16.3 83.3
15 79.6
17.2 82.6
16 80.6
17 83.5
14.4 76.3
Question: Is there a correlation between the number of times a cricket chirps per second and air temperature?

Example