b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive 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. The slope of the estimated regression line is approximately (to 4 decimals). So, a one unit Select your answer - v in the speed of execution rating will increase the overall satisfaction rating by approximately points (to 1 decimal). e. Suppose Vanguard Brokerage Services 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)

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive 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. The slope of the estimated regression line is approximately (to 4 decimals). So, a one unit Select your answer - v in the speed of execution rating will increase the overall satisfaction rating by approximately points (to 1 decimal). e. Suppose Vanguard Brokerage Services 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)

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

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.
2.7
2.8
Charles Schwab
3.8
3.8
Fidelity Brokerage Services
2.7
2.2
TD Ameritrade
3.0
2.7
E*Trade Financial
2.7
2.6
Vanguard Brokerage Services
2.4
2.7
USAA Brokerage Services
3.1
3.6
Thinkorswim
2.6
3.0
Wells Fargo Investments
3.4
2.9
Interactive Brokers
3.4
3.5
Zecco.com
3.2
3.0

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 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.
The slope of the estimated regression line is approximately
(to 4 decimals). So, a one unit
- Select your answer - v in the speed of execution
rating will increase the overall satisfaction rating by approximately
points (to 1 decimal).
e. Suppose Vanguard Brokerage Services 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)

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