a what does the scatter dagram developed in part (aj indicate about the relationship between the teo variables The scatter diagram indicates a ptve v inear relationship between z = speed of execution rating and y= overal satisfaction rating for electronic trades. EDevelop the least squares estimated regression equation. Enter negative value as negative number Satisfaction 0.8270 Speed (to 4 decimals) 0.7441 + 4. Provide an interpretation for the slope of the estimated regression equation. The slope of the estimated regression line is acproimately O8270 (to 4 decimals). Se, a one unitree v n the speed of evecution rating will increase the overal satisfaction rating by appreximately 0s points (to 1 decimal). 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 2.5 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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section: Chapter Questions
Problem 4CR
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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 2.5 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

The American Association of Individual Investors (AAII) 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 speed 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 (2), 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 survey results follow (AAII website, February 7, 2012).
Brokerage
Speed
Satisfaction
Scottrade, Inc.
2.8
2.4
Charles Schwab
3.4
3.0
Fidelity Brokerage Services
3.2
3.6
TD Ameritrade
3.7
3.9
E*Trade Financial
3.6
4.0
Vanguard Brokerage Services
3.0
2.8
USAA Brokerage Services
2.7
2.8
Thinkorswim
3.4
3.3
Wells Fargo Investments
2.7
2.7
Interactive Brokers
2.5
2.8
Zecco.com
3.4
3.6
a. Select a scatter diagram for these data with the speed of execution as the independent variable.
A.
В.
4.5
4.5
4-
3.5
2.5
2.5
2.5
3.5
4
4.5
2.5
3.5
4.5
Speed of Exec ut ion
Speed of Exec ut ion
C.
D.
4.5
4.5-
..
2.5-
2.5
2.5
3.5
4.5
2.5
3.5
4.5
Speed of Exec ution
Speed of Exec ut ion
A.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a positive
v linear relationship between a = 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 =
0.7441 +
0.8270 Speed (to 4 decimals)
d. Provide an interpretation for the slope of the estimated regression equation.
The slope of the estimated regression line is approximately
0.8270 (to 4 decimals). So, a one unit increase
in the speed of execution rating will increase the overall satisfaction rating by approximately
0.8 points (to 1 decimal).
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 2.5 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
Satisfaction
Satisfaction
Transcribed Image Text:The American Association of Individual Investors (AAII) 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 speed 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 (2), 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 survey results follow (AAII website, February 7, 2012). Brokerage Speed Satisfaction Scottrade, Inc. 2.8 2.4 Charles Schwab 3.4 3.0 Fidelity Brokerage Services 3.2 3.6 TD Ameritrade 3.7 3.9 E*Trade Financial 3.6 4.0 Vanguard Brokerage Services 3.0 2.8 USAA Brokerage Services 2.7 2.8 Thinkorswim 3.4 3.3 Wells Fargo Investments 2.7 2.7 Interactive Brokers 2.5 2.8 Zecco.com 3.4 3.6 a. Select a scatter diagram for these data with the speed of execution as the independent variable. A. В. 4.5 4.5 4- 3.5 2.5 2.5 2.5 3.5 4 4.5 2.5 3.5 4.5 Speed of Exec ut ion Speed of Exec ut ion C. D. 4.5 4.5- .. 2.5- 2.5 2.5 3.5 4.5 2.5 3.5 4.5 Speed of Exec ution Speed of Exec ut ion A. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive v linear relationship between a = 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 = 0.7441 + 0.8270 Speed (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation. The slope of the estimated regression line is approximately 0.8270 (to 4 decimals). So, a one unit increase in the speed of execution rating will increase the overall satisfaction rating by approximately 0.8 points (to 1 decimal). 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 2.5 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 Satisfaction Satisfaction
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