Question

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		782	14		11	609	10
2		724	15		12	855	10
3		616	15		13	687	9
4		751	11		14	663	12
5		713	5		15	687	9
6		800	3		16	845	12
7		726	9		17	615	10
8		831	14		18	789	7
9		649	6		19	744	5
10		824	6		20	706	5

Draw a scatter diagram. Based on these data, does it appear that there is a relationship between how many miles a shipment has to go and the time it takes to arrive at its destination?

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

x⎯⎯x¯
y⎯⎯y¯
Sx
Sy
r

State the decision rule for 0.10 significance level: H₀: ρ ≤ 0; H₁: ρ > 0.

Compute the value of the test statistic.

Determine the coefficient of determination.

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

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

Determine the standard error of estimate.

Answer 1

xbar=730.8

ybat=9.35

sx =78.178

sy ==3.631

r=-0.0657

decision rule for 0.10 significance level : reject Ho if t >1.330

value of the test statistic t=-0.280

% of the variation in shipping time is explained in by shipping distance =0.43%

standard error of estimate =3.7228

from above :