Homework 1.

As researchers for the EPA we are testing whether the concentration of E Coli bacteria in the Charles river is a function of rainfall.

Below is a summary output of a regression analysis you performed on the data you collected.

     

SUMMARY OUTPUT

   
     

Regression Statistics

 

R Square

0.689

 

Observations

365

 
     
 

Coefficients

t Stat

Intercept

203

1.5

Volume of rain

23

11.2

     

Please answer the following questions:

  1. What does the R squared mean for the impact of rainfall on E Coli bacteria levels in the river?
  1. Is the intercept significant Ð what does it mean?
  1. Is the coefficient called Òvolume of rainÓ significant? What does this mean?
  1. Please write the regression equation, only including significant coefficients.