A. The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the data table below Systolic blood Age pressure 16 109 256 11,881 1,744 24 122 576 14,884 2,928 37 143 1,369 20,449 5,291 44 130 1,936 16,900 5,720 49 200 2,401 40,000 9,800 4,225 34,225 12,025 4,761 39,601 13,731 65 185 69 199 31 131 961 SAY 17,161 4,061 3,364 30,625 10,150 13,689 2,574 58 175 01 22 117 484 415 1,511 20,333 239,415 1. Complete the table 2. Use the table in 1) to find the coefficient of correlation between the variables age of men (X) and their systolic blood pressure (Y). 3. Find the coefficient of determination. r2 = (10(68024) -(415*1511))2 (10*20333-415squared) (10*239415-1511squared) = 0.818744 4. Interpret the coefficient of determination. R2 is 81.874% of systolic bp is justified by age. 5. Find the coefficient of alienation. =1-r2 =1-0.818744 =0.181256 6. Interpret the coefficient of alienation. =0.181256% of the systolic bp is not justified by age
A. The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the data table below Systolic blood Age pressure 16 109 256 11,881 1,744 24 122 576 14,884 2,928 37 143 1,369 20,449 5,291 44 130 1,936 16,900 5,720 49 200 2,401 40,000 9,800 4,225 34,225 12,025 4,761 39,601 13,731 65 185 69 199 31 131 961 SAY 17,161 4,061 3,364 30,625 10,150 13,689 2,574 58 175 01 22 117 484 415 1,511 20,333 239,415 1. Complete the table 2. Use the table in 1) to find the coefficient of correlation between the variables age of men (X) and their systolic blood pressure (Y). 3. Find the coefficient of determination. r2 = (10(68024) -(415*1511))2 (10*20333-415squared) (10*239415-1511squared) = 0.818744 4. Interpret the coefficient of determination. R2 is 81.874% of systolic bp is justified by age. 5. Find the coefficient of alienation. =1-r2 =1-0.818744 =0.181256 6. Interpret the coefficient of alienation. =0.181256% of the systolic bp is not justified by age
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
Transcribed Image Text:Student Name:
A. The ages (in years) of 10 men and their systolic blood pressures (in millimeters
of mercury) are shown in the data table below
Systolic blood
Age
pressure
16
109
256
11,881 1,744
14,884 2,928
24
122
576
37
143
1,369 20,449 5,291
44
130
1,936 16,900 5,720
49
200
2,401 40,000 9,800
65
185
4,225 34,225 12,025
69
199
4,761 39,601 13,731
17,161 4,061
31
131
SE SAY
58
175
3,364 30,625 10,150
22
117
484
13,689 2,574
415 1,511
20,333 239,415
1. Complete the table
2. Use the table in 1) to find the coefficient of correlation between the variables age of men
(X) and their systolic blood pressure (Y).
3. Find the coefficient of determination.
(10(68024) -(415*1511))2
r2 =
(10*20333-415squared) (10*239415-1511squared)
= 0.818744
4. Interpret the coefficient of determination.
R2 is 81.874% of systolic bp is justified by age.
5. Find the coefficient of alienation.
=1-r2
=1-0.818744
=0.181256
6. Interpret the coefficient of alienation.
=0.181256% of the systolic bp is not justified by age
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