and 11.) 6. Protein and Diastolic Blood Pressure A study was conducted with vege
ID: 3311685 • Letter: A
Question
and 11.) 6. Protein and Diastolic Blood Pressure 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. (This information will be used for Exercises 10 and 12.) rams x | 4 6.5 5 5.5 8 10 9 8.2 10.45 Pressure y | 73 79 83 82 84 92 88 86 95 7. Medical Specialties and Gender Although more andExplanation / Answer
correlation
calculation procedure for correlation
sum of (x) = x = 66.7
sum of (y) = y = 762
sum of (x^2)= x^2 = 535.99
sum of (y^2)= y^2 = 64868
sum of (x*y)= x*y = 5758.2
to caluclate value of r( x,y) = covariance ( x,y ) / sd (x) * sd (y)
covariance ( x,y ) = [ x*y - N *(x/N) * (y/N) ]/n-1
= 5758.2 - [ 9 * (66.7/9) * (762/9) ]/9- 1
= 12.326
and now to calculate r( x,y) = 12.326/ (SQRT(1/9*5758.2-(1/9*66.7)^2) ) * ( SQRT(1/9*5758.2-(1/9*762)^2)
=12.326 / (2.152*6.254)
=0.916
value of correlation is =0.916
exists a positive releation between them
Line of Regression Y on X i.e Y = bo + b1 X
calculation procedure for regression
mean of X = X / n = 7.4111
mean of Y = Y / n = 84.6667
(Xi - Mean)^2 = 41.66886
(Yi - Mean)^2 = 352
(Xi-Mean)*(Yi-Mean) = 110.93333
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2
= 110.93333 / 41.66886
= 2.66226
bo = Y / n - b1 * X / n
bo = 84.6667 - 2.66226*7.4111 = 64.93643
value of regression equation is, Y = bo + b1 X
Y'=64.93643+2.66226* X
to predict on who consumes 8 grams per day
Y'=64.93643+2.66226* 8 = 86.23451
( X) ( Y) X^2 Y^2 X*Y 4 73 16 5329 292 6.5 79 42.25 6241 513.5 5 83 25 6889 415 5.5 82 30.25 6724 451 8 84 64 7056 672 10 92 100 8464 920 9 88 81 7744 792 8.2 86 67.24 7396 705.2 10.5 95 110.25 9025 997.5Related Questions
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