Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows:

Shipment		Distance (miles)	Shipping Time (days)		Shipment	Distance (miles)	Shipping Time (days)
1		678	3		11	814	11
2		758	14		12	782	5
3		733	14		13	753	7
4		802	15		14	831	3
5		832	15		15	723	6
6		684	6		16	746	7
7		683	9		17	632	5
8		768	4		18	740	13
9		776	10		19	778	6
10		840	13		20	822	7

Click here for the Excel Data File

1.

Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.

sx
sy
r

References

eBook & Resources

2

State the decision rule for 0.10 significance level: H₀: 0; H₁: > 0. (Round your answer to 3 decimal places.)

Reject H0 if t >

3

Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic

4.

Can we conclude that there is a positive correlation between distance and time? Use the 0.10 significance level.

(Click to select)Do not rejectReject H₀. We (Click to select)cancannot conclude that there is a positive correlation between

distance and time.

5.

Determine the coefficient of determination. (Round your answer to 3 decimal places.)

Coefficient of determination

6.

Fill in the blank below. (Round your answer to 1 decimal places.)

% of the variation in shipping time is explained by shipping distance.

7.

Determine the standard error of estimate. (Round your answer to 3 decimal places.)

Standard error

8.

Would you recommend using the regression equation to predict shipping time?

	Yes
	No