The service regresses the number of complaints lodged against an employee last year on the hourly wage of the employee for the year. The analyst ran a simple linear regression shown below. Table 7: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .854a .730 .695 6.6235 a. Predictors: (Constant), Hourly Wage Table 8: ANOVA ANOVAb Model Sum of Squares df Mean Square F Sig. 1 Regression 1918.458 1 1918.458 129.783 .000a Residual 709.567 48 14.782 Total 2628.025 49 a. Predictors: (Constant), Hourly Wage b. Dependent Variable: Number of Complaints Table 9: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 20.2 4.357 4.636 .000 Hourly Wage -1.20 .088 -.946 -13.636 .000 a. Dependent Variable: Number of Complaints 1. From the results shown above, write the regression equation. 2. The current minimum wage is $5.15. If an employee earns the minimum wage, how many complaints can that employee expect to receive? 3. Is the regression coefficient statistically significant? How can you tell?
The service regresses the number of complaints lodged against an employee last year on the hourly wage of the employee for the year. The analyst ran a simple linear regression shown below.
Table 7: Model Summary
|
Model |
R |
R Square |
Adjusted R Square |
Std. Error of the Estimate |
|
1 |
.854a |
.730 |
.695 |
6.6235 |
|
a. Predictors: (Constant), Hourly Wage |
Table 8: ANOVA
|
ANOVAb |
||||||
|
Model |
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
|
1 |
Regression |
1918.458 |
1 |
1918.458 |
129.783 |
.000a |
|
Residual |
709.567 |
48 |
14.782 |
|
|
|
|
Total |
2628.025 |
49 |
|
|
|
|
|
a. Predictors: (Constant), Hourly Wage |
||||||
|
b. Dependent Variable: Number of Complaints |
Table 9: Coefficients
|
Coefficientsa |
||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
|
B |
Std. Error |
Beta |
||||
|
1 |
(Constant) |
20.2 |
4.357 |
|
4.636 |
.000 |
|
Hourly Wage |
-1.20 |
.088 |
-.946 |
-13.636 |
.000 |
|
|
a. Dependent Variable: Number of Complaints |
1. From the results shown above, write the regression equation.
2. The current minimum wage is $5.15. If an employee earns the minimum wage, how many complaints can that employee expect to receive?
3. Is the regression coefficient statistically significant? How can you tell?
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