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 (cm) x2 = dynamic hand grip endurance (sec) x3 = trunk extension ratio (N/kg) Suppose that the model equation is the following and that ? = 6. (a) What is the mean value of rating of acceptable load when extent of left lateral bending is 45 cm, dynamic hand grip endurance is 210 sec, and trunk extension ratio is 12 N/kg? (b) If repeated observations on rating are made on different individuals, all of whom have the values of x1, x2, and x3 specified in Part (a), in the long run approximately what proportion of ratings will be between 21.3 kg and 45.3 kg? (Use Table 2 in Appendix A. Round your answer to four decimal places.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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.
x1 = extent of left lateral bending (cm)
x2 = dynamic hand grip endurance (sec)
x3 = trunk extension ratio (N/kg)
Suppose that the model equation is the following and that ? = 6.
(b) If repeated observations on rating are made on different individuals, all of whom have the values of x1, x2, and x3 specified in Part (a), in the long run approximately what proportion of ratings will be between 21.3 kg and 45.3 kg? (Use Table 2 in Appendix A. Round your answer to four decimal places.)
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