Question

A taxi company wants to predict travel time to the airport (in minutes) based on the distance from various locations in the city (in km). The data used involved distances ranging from 4km to 51km. A simple linear regression gave the following results.

Regression Statistics
R Square		0.917
Standard Error		2.579
Observations		12
	Coefficients		Standard Error
Intercept	3.37		2.61
Distance	1.46		0.14

(a) What is the sample size used in this regression analysis? Type only the numerical value in the box .

(b) Predict the travel time to the airport from a location 10 kms from the airport (two decimal places). Type only the numeric value in the box .

(c) Do you think the predicted value in (b) is reliable? Type yes or no in the box .

(d) State the direction of the alternative hypothesis to test whether there is a significant positive linear relationship between distance and travel time to the airport. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box .

(e) State the critical value to conduct the test at 5% level of significance (three decimal places). Type only the numeric value in the box . (No need to specify whether it is t_crit or Z_crit.)

(f) What is the calculated test statistic (three decimal places) for the test in part (d)? Type only the numeric value in the box . (No need to specify whether it is t_calc or Z_calc.)

(g) Is the null hypothesis rejected for the test in part (d)? Type yes or no in the box .

Answer 1

(a) What is the sample size used in this regression analysis? 12

(b) Predict the travel time to the airport from a location 10 kms from the airport . 17.97 minutes

(c). (c) Do you think the predicted value in (b) is reliable? Yes

(d) State the direction of the alternative hypothesis to test whether there is a significant positive linear relationship between distance and travel time to the airport GT

(e) State the critical value to conduct the test at 5% level of significance (three decimal places). 1.812

(f) What is the calculated test statistic (three decimal places) for the test in part (d)? 10.4286

(g) Is the null hypothesis rejected for the test in part (d)? Yes