1) A study was conducted with vegetarians to see whether the number of grams of
ID: 3317292 • Letter: 1
Question
1) A study was conducted with vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The data are given here. If there is a significant relationship, predict the diastolic pressure of a vegetarian who consumes 8 grams of protein per day. All calculations will be done manually! a) Do a complete regression analysis, use alpha equal to 0.01 and table b) Find the standard error of the estimate c) Find the 95% prediction interval for pressure when the number of grams is 8 Grams (x) 4 6.5 5 5.5 8 10 9 8.2 10.5 Pressure (y) 73 79 83 82 84 92 88 86 95Explanation / Answer
a)
b1= nE(xy)-ExEy/nE(x2)-(Ex2)
=9*5758.2-(66.70*762)/9*535.99-(66.70^2)
=2.66
b0=Ey-b1Ex/n
=762-(2.66*66.70)/9
=64.94
y=64.94+2.66*Grams
b)
SE=SSE/n-2
SE=56.67/7
SE=2.845
c)
y=64.94+2.66*8
y=64.94+21.28
y=86.22
Prediction interval formula: -
y+ta/2*SYX*1+hi
We get (78.4949, 93.974)
Grams (x) Pressure (y) x^2 y^2 xy (yi-y)^2 Predicted Value Residual Residual^2 4 73 16 5329 292 136.1111111 75.58540878 -2.585408778 6.68433855 6.5 79 42.25 6241 513.5 32.11111111 82.24105381 -3.24105381 10.5044298 5 83 25 6889 415 2.777777778 78.24766679 4.752333209 22.58467093 5.5 82 30.25 6724 451 7.111111111 79.5787958 2.421204202 5.86222979 8 84 64 7056 672 0.444444444 86.23444083 -2.23444083 4.992725822 10 92 100 8464 920 53.77777778 91.55895686 0.441043144 0.194519055 9 88 81 7744 792 11.11111111 88.89669884 -0.896698843 0.804068815 8.2 86 67.24 7396 705.2 1.777777778 86.76689243 -0.766892432 0.588124003 10.5 95 110.25 9025 997.5 106.7777778 92.89008586 2.109914138 4.451737669 66.70 762.00 535.99 64868.00 5758.20 352.00 762.00 0.00 56.67 SumRelated Questions
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