
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below.
From the results shown above, write the regression equation.
What proportion of variation in the number of traffic fatalities can be explained by the regression model?

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Table 10: Model Summary
Model
R
R Square | Adjusted R Square Std. Error of the Estimate
1
.821 a
.780
.613
3.258
a. Predictors: (Constant), population, days of snow, average speed
Table 11: Coefficients
Coefficientsa
Unstandardized
Standardized
Coefficients
Coefficients
Model
В
Std. Error
Beta
Sig.
1
(Constant)
1.4
2.957
.473
.584
Population
.00029
.00003
.0034
9.667
.000
Days of Snow
2.4
.62
.759
3.871
.000
Average Speed
10.3
1.1
1.438
9.364
.000
a. Dependent Variable: Number of Traffic Fatalities
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