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The American Association of Individual Investors (AAII) On-Line Discount Broker

ID: 3172619 • Letter: T

Question

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.


  Brokerage Satisfaction with
Trade Price
Satisfaction with
Speed of Execution
Overall Satisfaction with
Electronic Trades
  AA 3.4 3.1 3.4   BB 3 3.3 3.3   CC 3.1 3.3 4   DD 2.8 3.5 3.7   EE 2.9 3.2 2.9   FF 2.4 3.2 2.7   GG 2.6 3.8 2.6   HH 2.4 3.8 3.4   II 2.6 2.6 2.7   JJ 2.3 2.7 2.3   KK 3.7 3.9 4   LL 2.5 2.5 2.5   MM 3 3 3   NN 4 1 2

Explanation / Answer

A)The regression equation is : y_hat = 0.5458 x1 + 0.6765 x2

The coefficient of determination is 0.72961

Note : the regression equation is obtained using R as regq=lm(y~x1+x2,data=data)

B) if trade price level is 2 and the speed of execution level is 2, them we hve to predict the overall satisfaction level. So, from (a)

Y_hat = 0.5458*2 + 0.6765*2 = 2.446

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