A number of investigations have focused on the problem of assessing loads that c

Question

A number of investigations have focused on the problem of assessing loads that can be manually handled in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k 3 independent (predictor) variables. y individual's rating of acceptable load (kg) X1 extent of left lateral bending (om) (sec) X2 X3 trunk extension ratio (N/kg) Suppose that the model equation is the following and that o 5. 30 .90r1 .08r 4.500.r3 c (a) What is the mean value of rating of acceptable load when extent of left lateral bending is 50 cm, dynamic hand grip endurance is 200 sec, and trunk extension ratio is 10 N/kg? 46 ndi tid.

Explanation / Answer

a.) y = 30 + 0.9x1 + 0.08x2 - 4.5x3 + e

Given: x1 = 50; x2 = 200; x3 = 10

Substituting this value in the regression equation gives mean value of rating of accpetable load

y = 46

b) µ = 46; = 5

P(36 Y 56) = P(Y 56) - P(X 36)

= P(Z (56 - 46)/5) - P( (36 - 46) / 5)

= P(Z 2) - P(Z -2)

= 0.97725 - 0.02275

= 0.9545

Proportion = 0.9545 or 95.45%

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