A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = B_{0} + B_{1}x + e
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow ( ) | Vehicle Speed ( ) | |
1294 | 40 | |
1332 | 45 | |
1300 | 40 | |
1233 | 30 | |
1334 | 45 | |
1129 | 25 |
a. Develop an estimated regression equation for the data.
the regression equation is:
y = [ ] + [ ] X ( to 2 decimals )
b. Use to test for a significant relationship.
S= [ ? ]
R^{2} = .9443
R-sq adj = .9304
Analysis of Variance
SOURCE |
DF |
SS (to whole number) |
MS (to whole number) |
F (to 2 decimals) |
P-value (to 4 decimals) |
Regression | 1 | ? | ? | 67.854 | .00118 |
Residual | 4 | ? | ? | ||
Total | 5 | ? |
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