An investors association's 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 of the survey results follow. (Let x1 represent satisfaction with trade price, x2 represent satisfaction with speed of execution, and y represent overall satisfaction with electronic trades.) Brokerage Satisfaction with Trade Price Satisfaction with Speed of Execution Overall Satisfaction with Electronic Trades Brokerage 1 3.3 3.3 3.4 Brokerage 2 3.1 3.2 3.5 Brokerage 3 3.2 3.3 3.9 Brokerage 4 3.0 3.5 3.8 Brokerage 5 2.8 3.3 3.0 Brokerage 6 2.6 3.3 2.8 Brokerage 7 2.7 3.7 2.9 Brokerage 8 2.3 3.7 3.5 Brokerage 9 2.7 2.5 2.5 Brokerage 10 2.4 2.6 2.4 Brokerage 11 3.6 4.0 4.0 Brokerage 12 2.4 2.6 2.4 Brokerage 13 3.1 3.1 4.0 Brokerage 14 4.0 1.1 1.9 (a) Develop an estimated linear regression equation using trade price and speed of execution to predict the overall satisfaction with the broker. (Round your numerical values to four decimal places.) ŷ = Interpret the coefficient of determination. (Round your answer to two decimal places.) This linear regression model explains approximately % 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. Test whether the linear regression parameter ?1 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the linear regression parameter ?2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = An investment company has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory service levels (3) for both trade price and speed of execution. Use the estimated linear regression equation developed in part (a) to predict the overall satisfaction level for the investment company if they can achieve these performance levels. (Round your answer to one decimal place.)

An investors association's 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 of the survey results follow. (Let x1 represent satisfaction with trade price, x2 represent satisfaction with speed of execution, and y represent overall satisfaction with electronic trades.) Brokerage Satisfaction with Trade Price Satisfaction with Speed of Execution Overall Satisfaction with Electronic Trades Brokerage 1 3.3 3.3 3.4 Brokerage 2 3.1 3.2 3.5 Brokerage 3 3.2 3.3 3.9 Brokerage 4 3.0 3.5 3.8 Brokerage 5 2.8 3.3 3.0 Brokerage 6 2.6 3.3 2.8 Brokerage 7 2.7 3.7 2.9 Brokerage 8 2.3 3.7 3.5 Brokerage 9 2.7 2.5 2.5 Brokerage 10 2.4 2.6 2.4 Brokerage 11 3.6 4.0 4.0 Brokerage 12 2.4 2.6 2.4 Brokerage 13 3.1 3.1 4.0 Brokerage 14 4.0 1.1 1.9 (a) Develop an estimated linear regression equation using trade price and speed of execution to predict the overall satisfaction with the broker. (Round your numerical values to four decimal places.) ŷ = Interpret the coefficient of determination. (Round your answer to two decimal places.) This linear regression model explains approximately % 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. Test whether the linear regression parameter ?1 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the linear regression parameter ?2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = An investment company has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory service levels (3) for both trade price and speed of execution. Use the estimated linear regression equation developed in part (a) to predict the overall satisfaction level for the investment company if they can achieve these performance levels. (Round your answer to one decimal place.)

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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Question

Brokerage	Satisfaction with Trade Price	Satisfaction with Speed of Execution	Overall Satisfaction with Electronic Trades
Brokerage 1	3.3	3.3	3.4
Brokerage 2	3.1	3.2	3.5
Brokerage 3	3.2	3.3	3.9
Brokerage 4	3.0	3.5	3.8
Brokerage 5	2.8	3.3	3.0
Brokerage 6	2.6	3.3	2.8
Brokerage 7	2.7	3.7	2.9
Brokerage 8	2.3	3.7	3.5
Brokerage 9	2.7	2.5	2.5
Brokerage 10	2.4	2.6	2.4
Brokerage 11	3.6	4.0	4.0
Brokerage 12	2.4	2.6	2.4
Brokerage 13	3.1	3.1	4.0
Brokerage 14	4.0	1.1	1.9

(a)

Develop an estimated linear regression equation using trade price and speed of execution to predict the overall satisfaction with the broker. (Round your numerical values to four decimal places.)

ŷ =

Interpret the coefficient of determination. (Round your answer to two decimal places.)

This linear regression model explains approximately % 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.

Test whether the linear regression parameter ?₁ is equal to zero.

Find the p-value. (Round your answer to four decimal places.)

p-value =

Test whether the linear regression parameter ?₂ is equal to zero.

Find the p-value. (Round your answer to four decimal places.)

p-value =

An investment company has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory service levels (3) for both trade price and speed of execution. Use the estimated linear regression equation developed in part (a) to predict the overall satisfaction level for the investment company if they can achieve these performance levels. (Round your answer to one decimal place.)

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