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16.10.2020 •
Mathematics
The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of the survey, members were asked to rate their satisfaction with the trade price and the speed of execution, as well as provide an overall satisfaction rating. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied (2), satisfied (3), and very satisfied (4). For each broker, summary scores were computed by computing a weighted average of the scores provided by each respondent. A portion the survey results follow (AAII web site, February 7, 2012).
Brokerage Trade Price Speed of Execution Satisfaction Electronic Trades
Scottrade, Inc. 3.4 3.4 3.5
Charles Schwab 3.2 3.3 3.4
Fidelity Brokerage Services 3.1 3.4 3.9
TD Ameritrade 2.9 3.6 3.7
E*Trade Financial 2.9 3.2 2.9
(Not listed) 2.5 3.2 2.7
Vanguard Brokerage Services 2.6 3.8 2.8
USAA Brokerage Services 2.4 3.8 3.6
Thinkorswim 2.6 2.6 2.6
Wells Fargo Investments 2.3 2.7 2.3
Interactive Brokers 2.7 4 4
Zecco.com 2.5 2.5 2.5
Firstrade Securities 3 3 4
Banc of America Investment Services 4 1 2
Required:
a. Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker.
b. Finger Lakes Investments has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory levels of service levels (3) for both trade price and speed of execution. Use the estimated repression equation
developed in part (a) to predict overall satisfaction level for Finger Lakes Investments if they can achieve these performance levels.
c. Develop a 95% confidence interval estimate of the overall satisfaction of electronic trades for all brokers that provide satisfactory levels of service for both trade price and speed of execution.
d. Develop a 95% prediction interval of overall satisfaction for Finger Lakes Investments assuming they achieve service levels of 3 for both trade price and speed of execution.
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Ответ:
None of the given option corresponds to the answer.
Step-by-step explanation:
The parabola has its axis of symmetry parallel to the x-axis and is represented by the following expression:
Where:
, - Components of the vertex location, dimensionless.
- Absolute distance of focus with respect to vertex, dimensionless.
The absolute distance is determined by following formula:
Where is the horizontal component of focus with respect to origin.
If , and , the absolute distance and the equation that represents the parabola is:
None of the given option corresponds to the answer.