Question
In: Statistics and Probability
A highway department is studying the relationship between traffic flow and speed. The following model has...
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.
Solutions
orchestra answered 1 year agoRelated Solutions
A highway department is studying the relationship between traffic flow and speed. The following model has...
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 of 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(y)
vehicle speed(X)
1169
30
1134
40
1162
30
1223
35
1166
25
1285
40
a) the following Regression equation
y=___________+__________x (2 decimals)
b) use a=0.05 significance
s=________________ (4...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
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
(y)
Vehicle Speed
(x)
1,258
35
1,331
40
1,226
30
1,336
45
1,350
50
1,125
25
In working further with...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been hypothesized:
y = β0 +
β1x + ε where
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
(y)
Vehicle Speed
(x)
1,257
35
1,330
40
1,224
30
1,333
45
1,351
50
1,123
25
In working further with...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
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
(y)
Vehicle Speed
(x)
1,255
35
1,328
40
1,228
30
1,336
45
1,347
50
1,124
25
In working further with...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized.
where y=b0+b1x+b2x2
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 ()
1257
36
1329
45
1226
35
1335
45
1349
55
1125
25
a. Use the data to compute the coefficients of
this estimated regression equation (to...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been hypothesized:
y = β0 +
β1x + ε
where
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
(y)
Vehicle Speed
(x)
1,254
35
1,331
40
1,224
30
1,335
45
1,348
50
1,123
25
In working further with...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized.
y = B 0 + B 1 x + B2x 2 +
E
where
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
(y)
Vehicle Speed
(x)
1,256
35
1,329
45
1,226
30
1,335
50
1,349
55...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε where
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
(y)
Vehicle Speed
(x)
1,256
35
1,329
40
1,226
30
1,333
45
1,347
50
1,122
25
In working further with...
A highway department is studying the relationship between traffic flow and speed. The following model has...
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
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
(y)
Vehicle Speed
(x)
1,257
35
1,327
40
1,226
30
1,333
45
1,350
50
1,122
25
In working further with...
A statistical program is recommended. A highway department is studying the relationship between traffic flow and...
A statistical program is recommended.
A highway department is studying the relationship between
traffic flow and speed. The following model has been
hypothesized:
y = β0 +
β1x + ε
where
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
(y)
Vehicle Speed
(x)
1,257
35
1,331
40
1,225
30
1,337
45
1,349
50
1,126...
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