Which of the Following Is Not One of the Assumptions

question 17

Multiple Choice

Which of the following is not one of the assumptions of regression?

• A) There is a population regression line
• B) The response variable is not normally distributed
• C) The response variable is normally distributed
• D) The errors are probabilistically independent
• The manager of a commuter rail transportation system was recently asked by his governing board to predict the demand for rides in the large city served by the transportation network.The system manager has collected data on variables thought to be related to the number of weekly riders on the city's rail system.The table shown below contains these data.
• \(\begin{array}{cccccc}
• \text { Year } & \text { Weekly Riders } & \text { Price perRide } & \text { Population } & \text { Income } & \text { Parking Rate } \\
• 1 & 1200 & \$ 0.15 & 1800 & \$ 2,900 & \$ 0.50 \\
• 2 & 1190 & \$ 0.15 & 1790 & \$ 3,100 & \$ 0.50 \\
• 3 & 1195 & \$ 0.15 & 1780 & \$ 3,200 & \$ 0.60 \\
• 4 & 1100 & \$ 0.25 & 1778 & \$ 3,250 & \$ 0.60 \\
• 5 & 1105 & \$ 0.25 & 1750 & \$ 3,275 & \$ 0.60 \\
• 6 & 1115 & \$ 0.25 & 1740 & \$ 3,290 & \$ 0.70 \\
• 7 & 1130 & \$ 0.25 & 1725 & \$ 4,100 & \$ 0.75 \\
• 8 & 1095 & \$ 0.30 & 1725 & \$ 4,300 & \$ 0.75 \\
• 9 & 1090 & \$ 0.30 & 1720 & \$ 4,400 & \$ 0.75 \\
• 10 & 1087 & \$ 0.30 & 1705 & \$ 4,600 & \$ 0.80\\
• 11 & 1080 & \$ 0.30 & 1710 & \$ 4,815 & \$ 0.80 \\
• 12 & 1020 & \$ 0.40 & 1700 & \$ 5,285 & \$ 0.80 \\
• 13 & 1010 & \$ 0.40 & 1695 & \$ 5,665 & \$ 0.85 \\
• 14 & 1010 & \$ 0.40 & 1695 & \$ 5,800 & \$ 1.00 \\
• 15 & 1005 & \$ 0.40 & 1690 & \$ 5,900 & \$ 1.05 \\
• 16 & 995 & \$ 0.40 & 1630 & \$ 5,915 & \$ 1.05 \\
• 17 & 930 & \$ 0.75 & 1640 & \$ 6,325 & \$ 1.05 \\
• 18 & 915 & \$ 0.75 & 1635 & \$ 6,500 & \$ 1.10 \\
• 19 & 920 & \$ 0.75 & 1630 & \$ 6,612 & \$ 1.25 \\
• 20 & 940 & \$ 0.75 & 1620 & \$ 6,883 & \$ 1.30\\
• 21 & 950 & \$ 0.75 & 1615 & \$ 7,005 & \$ 1.50 \\
• 22 & 910 & \$ 1.00 & 1605 & \$ 7,234 & \$ 1.55 \\
• 23 & 930 & \$ 1.00 & 1590 & \$ 7,500 & \$ 1.65 \\
• 24 & 933 & \$ 1.00 & 1595 & \$ 7,600 & \$ 1.75 \\
• 25 & 940 & \$ 1.00 & 1590 & \$ 7,800 & \$ 1.75 \\
• 26 & 948 & \$ 1.00 & 1600 & \$ 8,000 & \$ 1.90 \\
• 27 & 955 & \$ 1,00 & 1610 & \$ 8,100 & \$ 2.00\\
• \end{array}\)
• The variables "weekly riders" and "population" are measured in thousands,and the variables "price per ride","income",and "parking rate" are measured in dollars.

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Definitions:

Oral Contracts

Agreements that are made verbally and are legally binding, though harder to prove than written contracts.

Written Confirmation

A document that records and verifies specific details of an agreement or transaction between two or more parties.

Merchant

An individual or company engaged in the wholesale purchase and retail sale of goods for profit.

Usage of Trade

Customary practices and usages that parties to a transaction in a particular trade commonly observe.