A some association On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the spe of execution with their broker as well as provide an overall satisfaction rating for electronic trades. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied ( satisfied (3), and very satisfied (4). For each broker summary scores were computed by calculating a weighted average of the scores provided by each respondent. A portion of the sur results follow Speed Satisfaction 3.4 Brokerage Scottrade, Inc. 3.2 Charles Schwab 3.3 3.2 Fidelity Brokerage Services 4.0 3.8 TD Ameritrade 3.8 3.9 E*Trade Financial 3.7 3.6 Vanguard Brokerage Services 3.9 3.9 USAA Brokerage Services 3.8 3.9 Thinkorswim 3.8 3.5 Wells Fargo Investments 3.9 3.9 Interactive Brokers 2.4 2.6 Zecco.com 3.2 3.4 a. Select a scatter diagram for these data with the speed of execution as the independent variable. A. В. 4.5- 4.5 4 4 3.5- 2.5 2.5 2.5 3.5 4.5 2.5 3.5 4.5 Speed of Exec ut ion Speed of Exec ut ion Satisfaction Satisfaction
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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D.
4.5-
4.5
3.5-
3.5
3.
2.5-
2.5
2.5
3
3.5
4
4.5
2.5
3
3.5
4
4.5
Speed of Exec ut ion
Speed of Exec ut ion
- Select your answer -
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a
- Select your answer - V linear relationship between x =
speed of execution rating and y = overall satisfaction rating for electronic trades.
c. Develop the least squares estimated regression equation. Enter negative value as negative number.
Satisfaction
+
Speed (to 4 decimals)
d. Provide an interpretation for the slope of the estimated regression equation (to 4 decimals).
The slope of the estimated regression line is approximately
So, a one unit
Select your answer
v in the speed of execution rating will increase the overall satisfaction
rating by approximately
points.
e. Suppose Interactive Brokers developed new software to increase their speed of execution rating. If the new software is able to increase their speed of execution rating from the current
value of 2.4 to the average speed of execution rating for the other 10 brokerage firms that were surveyed, what value would you predict for the overall satisfaction rating?
(to 3 decimals)
Satisfaction
Satisfaction"

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