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 3.3 3.6 3.2 3.3 Brokerage 1 3.5 Brokerage 2 3.1 Brokerage 3 3.2 3.3 3.9 Brokerage 4 3.0 3.5 3.6 Brokerage 5 2.8 3.1 3.0 Brokerage 6 2.6 3.3 2.8 Brokerage 7 2.7 3.9 2.7 Brokerage 8 2.5 3.9 3.7 Brokerage 9 2.5 2.7 2.5 Brokerage 10 2.2 2.6 2.2 Brokerage 11 3.6 4.0 4.0 Brokerage 12 2.6 2.4 2.4 Brokerage 13 2.9 3.1 4.0 Brokerage 14 4.0 1.1 2.1 (a) Develop an estimated 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 = -0.8681 +0.6086-x₁ +0.7095.x2 × Interpret the coefficient of determination. (Round your answer to two decimal places.) This regression model explains approximately 71.68 sample. × % of the variation in the values of overall satisfaction in the (b) Use the t test to determine the significance of each independent variable. Test whether the regression parameter ẞ₁ is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0154 × What is the conclusion for the test at the 0.05 level of significance? We reject Ho. We cannot conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We reject Ho. We can conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We fail to reject Ho. We cannot conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We fail to reject Ho. We can conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. Test whether the regression parameter 2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0004 × What is the conclusion for the test at the 0.05 level of significance? We reject Ho. We cannot conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We fail to reject Ho. We cannot conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We reject Ho. We can conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We fail to reject Ho. We can conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade.

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 3.3 3.6 3.2 3.3 Brokerage 1 3.5 Brokerage 2 3.1 Brokerage 3 3.2 3.3 3.9 Brokerage 4 3.0 3.5 3.6 Brokerage 5 2.8 3.1 3.0 Brokerage 6 2.6 3.3 2.8 Brokerage 7 2.7 3.9 2.7 Brokerage 8 2.5 3.9 3.7 Brokerage 9 2.5 2.7 2.5 Brokerage 10 2.2 2.6 2.2 Brokerage 11 3.6 4.0 4.0 Brokerage 12 2.6 2.4 2.4 Brokerage 13 2.9 3.1 4.0 Brokerage 14 4.0 1.1 2.1 (a) Develop an estimated 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 = -0.8681 +0.6086-x₁ +0.7095.x2 × Interpret the coefficient of determination. (Round your answer to two decimal places.) This regression model explains approximately 71.68 sample. × % of the variation in the values of overall satisfaction in the (b) Use the t test to determine the significance of each independent variable. Test whether the regression parameter ẞ₁ is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0154 × What is the conclusion for the test at the 0.05 level of significance? We reject Ho. We cannot conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We reject Ho. We can conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We fail to reject Ho. We cannot conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. We fail to reject Ho. We can conclude that there is a relationship between satisfaction with trade price and overall satisfaction with the electronic trade. Test whether the regression parameter 2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0004 × What is the conclusion for the test at the 0.05 level of significance? We reject Ho. We cannot conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We fail to reject Ho. We cannot conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We reject Ho. We can conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade. We fail to reject Ho. We can conclude that there is a relationship between satisfaction with speed of execution and overall satisfaction with the electronic trade.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 22PFA

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