A linear regression analysis was done in R for the relationship between speed Y (km/hour) and density X (vehicle/km) for a road segment yielded the following output. The sample size is 40. Please fill in the estimated value below. Estimate Std. Error t value Pr(>|t|) (Intercept) 1 0.40869 245.168 ? 2 0.01957 -97.865 ? (a) Based on the results above, write the formulation of the estimated linear regression model: 3 Please interpret the (b) Please interpret the intercept estimate: coefficient of density: 5. 4 (c) In the generalized f-test, the f-statistic has degree of freedom in the denominator. Enter the correct answer below. 1 Please enter a number for this text box. 2 Please enter a number for this text box. 3 4 Please enter a number for this text box.

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A linear regression analysis was done in R for the relationship between
speed Y (km/hour) and density X (vehicle/km) for a road segment yielded
the following output. The sample size is 40. Please fill in the estimated
value below.
Estimate
Std. Error
t value
Pr(>|t|)
(Intercept)
X
1
0.40869
245.168
2
0.01957
-97.865
?
(a) Based on the results above, write the formulation of the
estimated linear regression model:
Please interpret the
(b) Please interpret the intercept estimate:
coefficient of density: 5.
4
(c) In the generalized f-test, the f-statistic has
degree of freedom in
the denominator.
Enter the correct answer below.
1
Please enter a number for this text box.
Please enter a number for this text box.
3
4
6.
Please enter a number for this text box.
Transcribed Image Text:A linear regression analysis was done in R for the relationship between speed Y (km/hour) and density X (vehicle/km) for a road segment yielded the following output. The sample size is 40. Please fill in the estimated value below. Estimate Std. Error t value Pr(>|t|) (Intercept) X 1 0.40869 245.168 2 0.01957 -97.865 ? (a) Based on the results above, write the formulation of the estimated linear regression model: Please interpret the (b) Please interpret the intercept estimate: coefficient of density: 5. 4 (c) In the generalized f-test, the f-statistic has degree of freedom in the denominator. Enter the correct answer below. 1 Please enter a number for this text box. Please enter a number for this text box. 3 4 6. Please enter a number for this text box.
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