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. Suppose a portion of the survey results follow.

Brokerage	Speed	Satisfaction
A	3.4	3.5
B	3.3	3.2
C	3.4	3.9
D	3.6	3.9
E	3.2	2.9
F	3.8	2.8
G	3.8	3.6
H	2.6	2.6
I	2.7	2.3
J	4.0	4.0
K	2.5	2.5

These ratings data on x = the quality of the speed of execution and y = overall satisfaction with electronic trades provided the estimated regression equation ŷ = 0.128 + 0.931x. At the 0.05 level of significance, test whether speed of execution and overall satisfaction are related. (Use the F test.)

Set up the ANOVA table. (Round your for F to two decimal places and all other values to three decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Regression					.005
Error
Total

Find the value of the test statistic. (Round your answer to two decimal places.)____

Answer 1

The statistic software output for this problem is :

Simple linear regression results:
Dependent Variable: Satisfaction
Independent Variable: Speed
Satisfaction = 0.12846154 + 0.93076923 Speed
Sample size: 11
R (correlation coefficient) = 0.77193866
R-sq = 0.5958893
Estimate of error standard deviation: 0.41197876

Analysis of variance table for regression model:

Source	DF	SS	MS	F-stat	P-value
Model	1	2.252	2.2524615	13.27	0.0054
Error	9	1.528	0.170
Total	10	3.78

the value of the test statistic = 13.27