The owner of a New York City moving company, Harry H has typically used an estim

Question

The owner of a New York City moving company, Harry H has typically used an estimator to determine the number of labor hours needed for the move. This has proved useful in making bids in the past, but he would like to be able to develop a more reliable estimate that would be more accurate in predicting the labor hours. In a preliminary effort to provide a more accurate means of estimation, he has collected data for a number of moves in which the origin and destination were within the borough of Manhattan in New York City so that travel time was an insignificant portion of the labor hours worked. The results are shown below

SUMMARY OUTPUT

Regression statistic

Multiple R

ANOVA

(1) How many estimates did he include in this analysis?

A. 36 B. 35 C. 33 D. 3 E. 2

(2) What is the value of the pooled variance estimate?

A. 6926.6 B. 3463.3 C.844.8 D.25.6 E. 5.06

(3) What percent of the total fluctuation in the number of labor hours is explained by this regression model?

A. 94.408% B. 89.129% C. (1-1.254E-16)*100% D. (1-0.85538)*100%

(4) For an increase of one room, what impact does this model predict he should reflect int he approximate number of the labor hours he bids if the number of cubic feet to moved remain the same?

A. 2.1 B.1.6 C.0.9 D. -0.8 E. -1.6

(5) For an increase of 100 cubic feet, what impact does this model predict he should reflect in the approximate number of labor hours he bids if the number of rooms to be moved remains the same?

A. 25.6 B. 8.9 C. 6.6 D.5.6 E. 0.8

(6) Is this model doing a better job predicting the number of labor hours she should bid than if he used the average number of labor hours spent per move?

A. No, because the P-value of the intercept is only 0.8554

B. No, because the P-value of the variable for the number of rooms moved is only 0.4363

C. Yes, because the P-value of the Variable for the number of cubic feet moved is 1.5002x10^-7

D. Yes, because the P-value of the F-statistic is 1.2541 x 10^-16

(7) If he wanted to test whether the number of rooms was significant in predicting the labor hours involved in each move, which of the following output numbers from the computer printout should he use?

A. 0.4363 B. 0.8554 C. 0.8913 D. 1.5022 x 10^-7 E. 1.2541 x 10^-16

Multiple R

0.94408245 R Square 0.89129166 Adjusted R Square 0.88470328 Standard Error 5.05970426 Observation 36

Explanation / Answer

1) Number of estimators = 36

2) 25.06 is the pooled variance.

3) R^2 = 89.129% variation explained

4) Coefficient of rooms is -1.62, E option.

5) 100 * 0.056 = 5.6

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