Question

MUST USE A TI-83/TI-84 CALCULATOR!!

1. Suppose a fire insurance company wants to relate the amount of fire damage in major residential fires to the distance between the burning house and the nearest fire station. A random sample of 15 fires in a large suburb is selected. The amount of damage (thousands of dollars) and the distance (miles) between the fire and the nearest fire station are recorded for each fire. The following simple linear regression model was used:

  

                                       Coefficients                Std. Error

     Intercept                       10.2779                      1.4203

     Distance                       4.9193                       0.3927

1. The response variable is: ______________________________________________________            

2. The explanatory variable is: ____________________________________________________                                     

3. The least squares regression line is: ______________________________________________                                 

4. Find the predicted fire damage when a residential home is located 6 miles from the fire station. _____________________________________                                                                              

5. Suppose the researchers tests the hypotheses:                                                                                

H₀:   H_a:

The value of the t statistic for this test is:   _________________________________

6. The P-value for the t statistic found in part (e) is: ___________________________________   

7. Based on parts (e) & (f) state your conclusion regarding the significance of   

8. Give the interpretation of .   

Give the interpretation of .       

MUST USE A TI-83/TI-84 CALCULATOR!!                                    

Answer 1