The authors of the paper "Weight-Bearing Activity during Youth Is a More Important Factor for Peak Bone Mass than Calcium Intake"t used a multiple regression model to describe the relationship between y- bone mineral density (g/cm) X- body weight (kg) X -a measure of weight-bearing activity, with higher values indicating greater activity (a) The authors concluded that both body weight and weight-bearing activity were important predictors of bone mineral density and that there was no significant interaction between body weight and weight-bearing activity. What multiple regression function is consistent with this description? (Use a to represent the intercept. Use , and , for the coefficients of x, and x) (b) The value of the coefficient of body weight in the multiple regression function given in the paper is 0.569. Interpret this value. O When the measure of weight-bearing activity is fixed, and body weight is increased by 0.569-kg, the mean bone mineral density increases by 1 g/cm. O When the measure of weight-bearing activity and body weight are simultaneously increased by 1 unit each, the mean bone mineral density increases by 0.569 g/cm. O When the measure of weight-bearing activity is fixed, for a 1-kg increase in body weight, the mean bone mineral density increases by 0.569 g/cm. O When body weight is fixed, and the measure of weight-bearing activity is increased by 0.569 units, the mean bone mineral density increases by 1 g/cm. O When body weight is fixed, for a 1 unit increase measure of weight-bearing activity, the mean bone mineral density increases by 0.569 g/cm.
The authors of the paper "Weight-Bearing Activity during Youth Is a More Important Factor for Peak Bone Mass than Calcium Intake"t used a multiple regression model to describe the relationship between y- bone mineral density (g/cm) X- body weight (kg) X -a measure of weight-bearing activity, with higher values indicating greater activity (a) The authors concluded that both body weight and weight-bearing activity were important predictors of bone mineral density and that there was no significant interaction between body weight and weight-bearing activity. What multiple regression function is consistent with this description? (Use a to represent the intercept. Use , and , for the coefficients of x, and x) (b) The value of the coefficient of body weight in the multiple regression function given in the paper is 0.569. Interpret this value. O When the measure of weight-bearing activity is fixed, and body weight is increased by 0.569-kg, the mean bone mineral density increases by 1 g/cm. O When the measure of weight-bearing activity and body weight are simultaneously increased by 1 unit each, the mean bone mineral density increases by 0.569 g/cm. O When the measure of weight-bearing activity is fixed, for a 1-kg increase in body weight, the mean bone mineral density increases by 0.569 g/cm. O When body weight is fixed, and the measure of weight-bearing activity is increased by 0.569 units, the mean bone mineral density increases by 1 g/cm. O When body weight is fixed, for a 1 unit increase measure of weight-bearing activity, the mean bone mineral density increases by 0.569 g/cm.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The authors of the paper "Weight-Bearing Activity during Youth Is a More Important Factor for Peak Bone Mass than Calcium Intake"t used a multiple regression model to describe the relationship between
y = bone mineral density (g/cm³)
body weight (kg)
X1
%3D
X2
= a measure of weight-bearing activity, with higher values indicating greater activity
(a) The authors concluded that both body weight and weight-bearing activity were important predictors of bone mineral density and that there was no significant interaction between body weight and weight-bearing activity. What multiple regression function is consistent with this description? (Use
a to represent the intercept. Use B, and ß, for the coefficients of x,
and x2.)
y =
(b) The value of the coefficient of body weight in the multiple regression function given in the paper is 0.569. Interpret this value.
O When the measure of weight-bearing activity is fixed, and body weight is increased by 0.569-kg, the mean bone mineral density increases by 1 g/cm³.
O When the measure of weight-bearing activity and body weight are simultaneously increased by 1 unit each, the mean bone mineral density increases by 0.569 g/cm³.
O When the measure of weight-bearing activity is fixed, for a 1-kg increase in body weight, the mean bone mineral density increases by 0.569 g/cm3.
O When body weight is fixed, and the measure of weight-bearing activity is increased by 0.569 units, the mean bone mineral density increases by 1 g/cm³.
O When body weight is fixed, for a 1 unit increase measure of weight-bearing activity, the mean bone mineral density increases by 0.569 g/cm³.
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