Exhibit 14-1An Express Delivery Service Company Recently Conducted a Study

question 8

Essay

Exhibit 14-1An express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package (Y), the package weight in pounds (X1), and the distance shipped in miles (X2). Twenty packages were randomly selected from among the large number received for shipment, and a detailed analysis of the shipping cost was conducted for each package. The sample information is shown in the table below:
$$\begin{array} { c c c } \text { Cost of Shipment } & \text { Package Weight } & \text { Distance Shipped } \\\$ 3.40 & 4.3 & 100 \\\$ 2.10 & 0.5 & 165 \\\$ 11.10 & 5.3 & 245 \\\$ 2.70 & 6.1 & 52 \\\$ 2.00 & 4.7 & 58 \\\$ 8.10 & 3.7 & 255 \\\$ 15.60 & 7.2 & 265 \\\$ 5.10 & 2.6 & 214 \\\$ 1.10 & 0.8 & 105 \\\$ 4.50 & 0.95 & 285 \\\$ 6.10 & 6.4 & 120 \\\$ 1.80 & 1.3 & 95 \\\$ 14.60 & 6.7 & 245 \\\$ 14.10 & 7.7 & 195 \\\$ 9.30 & 6.8 & 165 \\\$ 1.20 & 2.9 & 50 \\\$ 12.20 & 8.3 & 165 \\\$ 1.60 & 0.9 & 85 \\\$ 8.10 & 4.6 & 207 \\\$ 4.00 & 3.4 & 150\end{array}$$
-Refer to Exhibit 14-1. Estimate a simple linear regression model involving shipping cost and package weight. Interpret the slope coefficient of the least squares line as well as R2.

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Definitions:

Manual Lifting

The act of moving or supporting an object by physical force without the use of mechanical devices.

Body Mechanics

The utilization of correct posture and alignment when moving or handling objects to prevent injury.

Patient-handling Equipment

Devices or tools designed to assist healthcare workers in safely moving or transferring patients.

Warm-up

A series of activities or exercises performed before a workout or sport activity to prepare the body, reducing the risk of injury.