In: Statistics and Probability
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y=B0+B1x+e
where
y= traffic flow in vehicles per hour
x= Vehicle speed in miles per hours
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow () | Vehicle Speed () | |
1255 | 35 | |
1207 | 30 | |
1365 | 50 | |
1314 | 50 | |
1247 | 35 | |
1290 | 45 |
a. Develop an estimated regression equation for the data.
The regression equation is:
y=________+_______x (to 2 decimals)
b. Use a=.02 to test for a significant relationship.
s= | (to 4 decimals) | |
R^2 | (to 4 decimals) | |
R^2 adj | (to 4 decimals) |
Analysis of Variance
SOURCE |
DF |
SS (to whole number) |
MS (to whole number) |
(to 2 decimals) |
-value (to 4 decimals) |
Regression | |||||
Residual | |||||
Total |
p-value is - Select your answer -more/less than a , so the linear relationship - Select your answer -is not is significant.