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Question
Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. An analysis of Cindy's data yielded the following ANOVA table.| Source of Variation | SS | df | MS | F |
| Treatment | 64.91667 | 3 | 21.63889 | 8.752809 |
| Block | 10.5 | 2 | 5.25 | 2.123596 |
| Error | 14.83333 | 6 | 2.472222 | |
| Total | 90.25 | 11 |
Using a= 0.05, the appropriate decision for treatment effects is ________.
a) reject the null hypothesism1 = m2 = m3 = m4
b) reject the null hypothesism1 m2 m3 m4
c) do not reject the null hypothesism1 m2 m3 m4
d) do not reject the null hypothesism1 m2 m3 m4
e) do nothing
Answer
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Q:
Data from a randomized block design are shown in the following table. Treatment Levels 1
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7 Block 2
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9 The Error Sum of Squares (SSE) is ________.
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Q:
Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. In Cindy's experiment "sales discount rate" is ________.
a) a surrogate variable
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c) a blocking variable
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Q:
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a) a concomitant variable
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Q:
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SS
df
MS
F Treatment
36.17
2
18.08
5.66 Error
28.75
9
3.19 Total
64.92
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Q:
Data from a completely randomized design are shown in the following table. Treatment Level 1
2
3 27
26
27 26
22
29 23
21
27 24
23
26 For a one-way ANOVA, the Error Sum of Squares (SSE) is ________.
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Q:
Data from a completely randomized design are shown in the following table. Treatment Level 1
2
3 27
26
27 26
22
29 23
21
27 24
23
26 For a one-way ANOVA, the Total Sum of Squares (SST) is ________.
a) 36.17
b) 28.75
c) 64.92
d) 18.03
e) 28.04
Q:
Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table. Source of Variation
SS
df
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19 Using a= 0.01, the appropriate decision is _________.
a) reject the null hypothesism1= m2= m3= m4
b) reject the null hypothesism1 m2 m3 m4
c) do not reject the null hypothesis m1= m2= m3= m4
d) do not reject the null hypothesis m1 m2 m3m4
e) do nothing
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Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. In Cindy's experiment, "average collection period" is ________.
a) the dependent variable
b) a treatment variable
c) a blocking variable
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e) a constant
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SS
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F Between Groups
384.3333
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1359.667
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1744
17 Using a= 0.05, the appropriate decision is _____________.
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b) do not reject the null hypothesism1 m2 m3
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e) do nothing
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BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table. Source of Variation
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Q:
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Q:
The mean square error (MSerr) is calculated by dividing the sum of squares error (SSerr) by the number of error degrees of freedom (dferr).
Q:
Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city. She gathers data from six cities in which the tours are offered. Annie's dependent variable is annual sales revenues and her independent variable is the city population. Regression analysis of the data yielded the following tables. Coefficients
Standard Error
t Statistic
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-0.48455
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MS
F Se = 0.237 Regression
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3.550325
3.550325
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4
0.224675
0.056169 Total
5
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a) $70,780
b) $5,259
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e) $152,597
Q:
Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city. She gathers data from six cities in which the tours are offered. Annie's dependent variable is annual sales revenues and her independent variable is the city population. Regression analysis of the data yielded the following tables. Coefficients
Standard Error
t Statistic
p-value Intercept
-0.14156
0.292143
-0.48455
0.653331 x
0.105195
0.013231
7.950352
0.001356 Source
df
SS
MS
F Se = 0.237 Regression
1
3.550325
3.550325
63.20809 r2 = 0.940483 Residual
4
0.224675
0.056169 Total
5
3.775 Annie's sample size is __________.
a) 2
b) 4
c) 6
d) 8
e) 10
Q:
Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city. She gathers data from six cities in which the tours are offered. Annie's dependent variable is annual sales revenues and her independent variable is the city population. Regression analysis of the data yielded the following tables. Coefficients
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t Statistic
p-value Intercept
-0.14156
0.292143
-0.48455
0.653331 x
0.105195
0.013231
7.950352
0.001356 Source
df
SS
MS
F Se = 0.237 Regression
1
3.550325
3.550325
63.20809 r2 = 0.940483 Residual
4
0.224675
0.056169 Total
5
3.775 Annie's regression model can be written as: __________.
a) y = 7.950352 - 0.48455x
b) y = -0.48455 + 7.950352x
c) y = -0.14156 + 0.105195x
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e) y = 0.105195 + 0.14156x
Q:
A manager wants to predict the cost (y) of travel for salespeople based on the number of days (x) spent on each sales trip. The following model has been developed: y = $400 + 120x. If a trip took 4 days, the predicted cost of the trip is _____________.
a) 480
b) 880
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Q:
In the regression equation, y=2.164+1.3657x n=6, the mean of x is 8.667, Sxx=89.333 and Se=3.44. A 95% prediction interval for y when x=8 is _________
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b) (2.75, 23.43)
c) (10.31, 15.86)
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e) (12.09, 14.09)
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A researcher has developed a regression model from fourteen pairs of data points. He wants to test if the slope is significantly different from zero. He uses a two"‘ tailed test and a = 0.01. The critical table t value is _______.
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Q:
In a regression analysis if SST = 200 and SSR = 200, r 2 = _________.
a) 0.25
b) 0.75
c) 0.00
d) 1.00
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Q:
The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the _______.
a) sum of squares error
b) coefficient of correlation
c) coefficient of determination
d) covariance
e) regression sum of squares
Q:
The numerical value of the coefficient of determination must be _______.
a) between -1 and +1
b) between -1 and 0
c) between 0 and 1
d) equal to SSE/(n-2)
e) between -100 and +100
Q:
A standard deviation of the error of the regression model is called the _______.
a) coefficient of determination
b) sum of squares of error
c) standard error of the estimate
d) R-squared
e) coefficient of correlation
Q:
The following residuals plot indicates _______________. a) a nonlinear relation
b) a nonconstant error variance
c) the simple regression assumptions are met
d) the sample is biased
e) the sample is random