A number of investigations have focused on the problem of assessing weights that can be lifted 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 weight (kg) x₁ extent of left lateral bending (cm) x₂ = dynamic hand grip endurance (sec) x= trunk extension ratio (N/kg) Suppose that the model equation is the following and that = 6. y = 29 +0.89x, +0.06x₂ - 4.70x3 + e USE SALT

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A number of investigations have focused on the problem of assessing weights that can be lifted 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 weight (kg)
x₁ extent of left lateral bending (cm)
X₂= dynamic hand grip endurance (sec)
x= trunk extension ratio (N/kg)
Suppose that the model equation is the following and that 6.
y = 29 +0.89x, +0.06x₂ - 4.70x + e
USE SALT
(a) What is the mean rating of acceptable weight (in kg) when extent of left lateral bending is 45 cm, dynamic hand grip endurance is 210 sec, and trunk extension ratio is 11 N/kg?
kg
(b) If repeated observations on rating are made on different individuals, all of whom have the values of x₁, x₂, and x specified in part (a), in the long run approximately what percentage of ratings will be between 17.95 kg and 41.95 kg? (Round your answer to four
decimal places.)
Transcribed Image Text:A number of investigations have focused on the problem of assessing weights that can be lifted 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 weight (kg) x₁ extent of left lateral bending (cm) X₂= dynamic hand grip endurance (sec) x= trunk extension ratio (N/kg) Suppose that the model equation is the following and that 6. y = 29 +0.89x, +0.06x₂ - 4.70x + e USE SALT (a) What is the mean rating of acceptable weight (in kg) when extent of left lateral bending is 45 cm, dynamic hand grip endurance is 210 sec, and trunk extension ratio is 11 N/kg? kg (b) If repeated observations on rating are made on different individuals, all of whom have the values of x₁, x₂, and x specified in part (a), in the long run approximately what percentage of ratings will be between 17.95 kg and 41.95 kg? (Round your answer to four decimal places.)
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