8 Fire department response time The scatterplot below shows

8. Fire department response time

The scatterplot below shows a study of the time it takes a fire department to reach a fire after the fire has been reported to 911.

Estimated regression coefficients

Coefficients   Value

(Intercept)   6.99177

Distance   0.77796

a.Which variable the the explanatory varaible?

b.Which of the two variables is the slope variable?

c.Write the prediction equation for this data?

d.What is the interpretation of the slope coefficient?

e.Use the estimated regression equation to predict the response time to a house fire when the house is 5 miles distant to the fire station. Use the fiotted model do not use the graph.

8. Fire department response time The scatterplot below shows a study of the time it takes a fire department to reach a fire after the fire has been reported to 911. Estimated regression coefficients Coefficients Value (Intercept) 6.99177 Distance 0.77796 a.Which variable the the explanatory varaible? b.Which of the two variables is the slope variable? c.Write the prediction equation for this data? d.What is the interpretation of the slope coefficient? e.Use the estimated regression equation to predict the response time to a house fire when the house is 5 miles distant to the fire station. Use the fiotted model do not use the graph.

Solution

1. Distance

2. Distance

3. T= 6.99177+ 0.77796D

4. For very additional mile of distance it takes 0.77796 minutes to respond.

5. 6.99177+0.77796(5)=10.8816