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 calculated by computing a weighted average of the scores provided by each respondent. A portion of the survey results follows (AAII website, February 7, 2012).
Satisfaction with Satisfaction with Overall Satisfaction
Brokerage Trade Price Speed of Execution with Electronic Trades
Scottrade, Inc. 3.4 3.4 3.5
Charles Schwab 3.2 3.3 3.4
Fidelity Brokerage 3.1 3.4 3.9
Services 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 2.6 3.8 2.8
Services USAA Brokerage 2.4 3.8 3.6
Services Thinkorswim 2.6 2.6 2.6
Wells Fargo 2.3 2.7 2.3
Investments Interactive Brokers 3.7 4.0 4.0
Zecco.com 2.5 2.5 2.5
Firstrade Securities 3.0 3.0 4.0
Banc of America 4.0 1.0 2.0
Investment Services
a. Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker (to 4 decimals). Enter negative values as negative numbers, if required.
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 regression equation developed in part (a) to predict overall satisfaction level for Finger Lakes Investments if they can achieve these performance levels (to 1 decimal).
c. 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 (to 1 decimal).
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.