he 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 tr rice 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 omputing a weighted average of the scores provided by each respondent. A portion the survey results follow (AAII website, February 7, 2012). Brokerage cottrade, Inc. Charles Schwab idelity Brokerage Services D Ameritrade Satisfaction with Satisfaction with Overall Satisfaction with Trade Price Speed of Execution Electronic Trades 3.3 3.1 3.2 3.3 3.1 3.3 2.9 3.5 3.7 2.8 3.2 2.9 2.4 3.2 2.7 2.6 2011 3.8 2.8 2.4 3.8 3.6 2.6 2.6 2.6 2.3 2.7 2.3 3.7 4.0 4.0 2.5 2.5 3.0 3.0 4.0 1.0 *Trade Financial Not listed) "anguard Brokerage Services SAA Brokerage Services hinkorswim Vells Fargo Investments interactive Brokers ecco.com irstrade Securities sanc of America Investment Services X1 + 3.4 What is the coefficient of determination? If required, round your answers to four decimal places. 3.3 x2 4.0 2.5 a) Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. Let x 1 represent satisfaction with Trade Price. Let x 2 represent satisfaction with speed of execution. 3.0 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) 9 + 2.0 Interpret the coefficient of determination. If required, round your answer to one decimal places. The regression model explains approximately % of the variation in the values of overall satisfaction in the sample.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(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 ß2 = 0. That is, there is not
We cannot
V
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 made.
(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 speed of execution is held
constant and there is a 1 point increase in satisfaction with trade price. ß2 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.
(ii) 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. ß2 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 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.
(iv) 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.
Option (i)
(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 (2) 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.
(e) What concerns (if any) do you have with regard to the possible responses the respondents could select on the survey?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
blank
Transcribed Image Text:(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 ß2 = 0. That is, there is not We cannot V 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 made. (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 speed of execution is held constant and there is a 1 point increase in satisfaction with trade price. ß2 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. (ii) 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. ß2 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 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. (iv) 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. Option (i) (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 (2) 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. (e) What concerns (if any) do you have with regard to the possible responses the respondents could select on the survey? The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank
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 website, February 7, 2012).
Brokerage
Scottrade, Inc.
Charles Schwab
Fidelity Brokerage Services
TD Ameritrade
E*Trade Financial
(Not listed)
Vanguard Brokerage Services
USAA Brokerage Services
Thinkorswim
Wells Fargo Investments
Interactive Brokers
Zecco.com
Firstrade Securities
Banc of America Investment Services
Satisfaction with Satisfaction with Overall Satisfaction with
Trade Price
Speed of Execution
3.1
3.3
3.3
3.5
3.2
3.2
3.8
3.8
2.6
2.7
4.0
2.5
3.0
1.0
3.3
3.2
3.1
2.9
2.8
2.4
2.6
2.4
2.6
2.3
3.7
2.5
3.0
4.0
X 1 +
What is the coefficient of determination?
If required, round your answers to four decimal places.
Electronic Trades
(a) Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker.
Let x 1 represent satisfaction with Trade Price.
Let x 2 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)
ŷ
X 2
3.4
3.3
4.0
3.7
2.9
2.7
2.8
3.6
2.6
2.3
4.0
2.5
3.0
2.0
Interpret the coefficient of determination. If required, round your answer to one decimal places.
The regression model explains approximately
% of the variation in the values of overall satisfaction in the sample.
Transcribed Image Text: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 website, February 7, 2012). Brokerage Scottrade, Inc. Charles Schwab Fidelity Brokerage Services TD Ameritrade E*Trade Financial (Not listed) Vanguard Brokerage Services USAA Brokerage Services Thinkorswim Wells Fargo Investments Interactive Brokers Zecco.com Firstrade Securities Banc of America Investment Services Satisfaction with Satisfaction with Overall Satisfaction with Trade Price Speed of Execution 3.1 3.3 3.3 3.5 3.2 3.2 3.8 3.8 2.6 2.7 4.0 2.5 3.0 1.0 3.3 3.2 3.1 2.9 2.8 2.4 2.6 2.4 2.6 2.3 3.7 2.5 3.0 4.0 X 1 + What is the coefficient of determination? If required, round your answers to four decimal places. Electronic Trades (a) Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. Let x 1 represent satisfaction with Trade Price. Let x 2 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) ŷ X 2 3.4 3.3 4.0 3.7 2.9 2.7 2.8 3.6 2.6 2.3 4.0 2.5 3.0 2.0 Interpret the coefficient of determination. If required, round your answer to one decimal places. The regression model explains approximately % of the variation in the values of overall satisfaction in the sample.
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