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 (AAII web site, February 7, 2012).   Brokerage Satisfaction with Trade Price Satisfaction with Speed of Execution Overall Satisfaction with 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 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 Investment Services 4.0 1.0 2.0

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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 (AAII web site, February 7, 2012).


  Brokerage
Satisfaction with
Trade Price
Satisfaction with
Speed of Execution
Overall Satisfaction with
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 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 Investment Services 4.0 1.0 2.0
(a) Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker.
Let x1 represent satisfaction with Trade Price.
Let x2 represent satisfaction with speed of execution.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
0.5580 x1 +
-0.7835 +
What is the coefficient of determination?
If required, round your answers to four decimal places.
0.5087
0.7342 x2
Interpret the coefficient of determination. If required, round your answer to one decimal places.
The regression model explains approximately
We can
made.
50.9 % of the variation in the values of overall satisfaction in the sample.
(b) Use the t test to determine the significance of each independent variable. What are your conclusions at the 0.05 level of significance?
We can
conclude that B1 = 0. That is, there is
conclude that B₂ = 0. That is, there is
✓a relationship between satisfaction with trade price and overall satisfaction with the electronic trade.
a relationship between satisfaction with speed of execution and overall satisfaction with the electronic
Transcribed Image Text:(a) Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. Let x1 represent satisfaction with Trade Price. Let x2 represent satisfaction with speed of execution. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) 0.5580 x1 + -0.7835 + What is the coefficient of determination? If required, round your answers to four decimal places. 0.5087 0.7342 x2 Interpret the coefficient of determination. If required, round your answer to one decimal places. The regression model explains approximately We can made. 50.9 % of the variation in the values of overall satisfaction in the sample. (b) Use the t test to determine the significance of each independent variable. What are your conclusions at the 0.05 level of significance? We can conclude that B1 = 0. That is, there is conclude that B₂ = 0. That is, there is ✓a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. a relationship between satisfaction with speed of execution and overall satisfaction with the electronic
(c) Interpret the estimated regression parameters. Are the relationships indicated by these estimates what you would expect?
(i) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 0. B1 is the estimated change in overall satisfaction with the
electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. B₂ is the estimated change in overall satisfaction with the
electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price.
(ii) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 0. B1 is the estimated change in overall satisfaction with the
electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. B2 is the is the estimated change in overall satisfaction with the
electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution.
(iii) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 1. B1 is the estimated change in overall satisfaction with the
electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. B₂ is the is the estimated change in overall satisfaction with the
electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution.
(iv) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 1. B1 is the estimated change in overall satisfaction with the
electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. B2 is the estimated change in overall satisfaction with the
electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price.
Option (ii)
(d) 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 Lakes Investments if they can achieve these performance levels.
If required, round your answer to one decimal places. Do not round intermediate calculations.
3.1
Transcribed Image Text:(c) Interpret the estimated regression parameters. Are the relationships indicated by these estimates what you would expect? (i) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 0. B1 is the estimated change in overall satisfaction with the electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. B₂ is the estimated change in overall satisfaction with the electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. (ii) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 0. B1 is the estimated change in overall satisfaction with the electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. B2 is the is the estimated change in overall satisfaction with the electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. (iii) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 1. B1 is the estimated change in overall satisfaction with the electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. B₂ is the is the estimated change in overall satisfaction with the electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. (iv) Bo is the estimated overall satisfaction with the electronic trade when satisfaction with trade price and speed of execution are both 1. B1 is the estimated change in overall satisfaction with the electronic trade if satisfaction with trade price is held constant and there is a 1 point increase in satisfaction with speed of execution. B2 is the estimated change in overall satisfaction with the electronic trade if satisfaction with speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. Option (ii) (d) 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 Lakes Investments if they can achieve these performance levels. If required, round your answer to one decimal places. Do not round intermediate calculations. 3.1
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