A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a state. The regression equation is Fatalities = 12.7 + 0.000114 (Unemp). Some additional output is: Predictor Coef SE Coef T P Constant 12.726 8.115 1.57 0.134 Unemp 0.00011386 0.00002896 3.93 0.001 Analysis of Variance Source DF SS MS F P Regression 1 10,354 10,354 15.46 0.001 Residual Error 18 12,054 670 Total 19 22,408
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 highway employee performed a
| Predictor | Coef | SE Coef | T | P | ||||||||
| Constant | 12.726 | 8.115 | 1.57 | 0.134 | ||||||||
| Unemp | 0.00011386 | 0.00002896 | 3.93 | 0.001 | ||||||||
| Analysis of Variance | |||||||||||||||
| Source | DF | SS | MS | F | P | ||||||||||
| Regression | 1 | 10,354 | 10,354 | 15.46 | 0.001 | ||||||||||
| Residual Error | 18 | 12,054 | 670 | ||||||||||||
| Total | 19 | 22,408 | |||||||||||||
a. How many states were in the sample?
b. Determine the standard error of estimate. (Round your answer to 2 decimal places.)
c. Determine the coefficient of determination. (Round your answer to 2 decimal places.)
d. Determine the
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