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Occupational safety study. An important goal in
Chapter 12, Problem 21E(choose chapter or problem)
Occupational safety study. An important goal in occupational safety is “active caring.” Employees demonstrate active caring (AC) about the safety of their coworkers when they identify environmental hazards and unsafe work practices and then implement appropriate corrective actions for these unsafe conditions or behaviors. Three factors hypothesized to increase the propensity for an employee to actively care for safety are (1) high self-esteem, (2) optimism, and (3) group cohesiveness. Applied & Preventive Psychology (Winter 1995) attempted to establish empirical support for the AC hypothesis by fitting the model \(E(y)=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_3\), where
y = AC score (active caring score, 15-point scale)
\(x_1\) = self-esteem score
\(x_2\) = Optimism score
\(x_3\) = Group cohesion score
The regression analysis, based on data collected for n = 31 hourly workers at a large fiber-manufacturing plant, yielded a multiple coefficient of determination of \(R^2 = .362\).
a. Interpret the value of \(R^2\).
b. Use the \(R^2\) value to test the global utility of the model. Use \(\alpha\ =\ .05\).
Questions & Answers
QUESTION:
Occupational safety study. An important goal in occupational safety is “active caring.” Employees demonstrate active caring (AC) about the safety of their coworkers when they identify environmental hazards and unsafe work practices and then implement appropriate corrective actions for these unsafe conditions or behaviors. Three factors hypothesized to increase the propensity for an employee to actively care for safety are (1) high self-esteem, (2) optimism, and (3) group cohesiveness. Applied & Preventive Psychology (Winter 1995) attempted to establish empirical support for the AC hypothesis by fitting the model \(E(y)=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_3\), where
y = AC score (active caring score, 15-point scale)
\(x_1\) = self-esteem score
\(x_2\) = Optimism score
\(x_3\) = Group cohesion score
The regression analysis, based on data collected for n = 31 hourly workers at a large fiber-manufacturing plant, yielded a multiple coefficient of determination of \(R^2 = .362\).
a. Interpret the value of \(R^2\).
b. Use the \(R^2\) value to test the global utility of the model. Use \(\alpha\ =\ .05\).
ANSWER:Step 1 of 3
a) The multiple coefficient of determination, 
that the using the independent variables self-esteem score, optimism score and
group cohesion score in a ?rst-order model explains 36.2% of the total sample
variation (measured by 
tells how well the model fits the data and thereby represents a measure of the
usefulness of the entire model.