- A least squares regression line may be used to predict a value of y if the corresponding x value is given
- A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is the least squares method
- A regression analysis between sales (in $1000s) and price (in dollars) resulted in the following equation:
= 50,000 − 8x
The above equation implies that an increase of _____. $1 in price is associated with a decrease of $8,000 in sales - A regression analysis between sales (y in $1000) and advertising (x in dollars) resulted in the following equation:
= 50,000 + 6x
The above equation implies that an increase of _____. $1 in advertising is associated with an increase of $6,000 in sales - A term that means the same as the term “variable” in an ANOVA procedure is __ factor
- An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F are 5 numerator and 114 denominator degrees of freedom
- An experimental design where the experimental units are randomly assigned to the treatments is known as _____. completely randomized design
- As the goodness of fit for the estimated regression equation increases, the value of the coefficient of determination increases
- Exhibit 10-13
In order to determine whether or not there is a significant difference between the hourly wages of two companies, the following data have been accumulated.
Company 1 Company 2
n1 = 80 n2 = 60
1 = $10.80 2 = $10.00
σ1= $2.00 σ2= $1.50
Refer to Exhibit 10-13. The null hypothesis for this test is _____. μ1 – μ2 = 0 - Exhibit 10-2
The following information was obtained from matched samples.
The daily production rates for a random sample of workers before and after a training program are shown below.
Worker
Before
After
1
20
22
2
25
23
3
27
27
4
23
20
5
22
25
6
20
19
7
17
18
Refer to Exhibit 10-2. The null hypothesis to be tested is H0: μd = 0. The value of the test statistic is _____. 0 - Exhibit 10-2
The following information was obtained from matched samples.
The daily production rates for a random sample of workers before and after a training program are shown below.
Worker
Before
After
1
20
22
2
25
23
3
27
27
4
23
20
5
22
25
6
20
19
7
17
18
Refer to Exhibit 10-2. Based on the results of the previous question, the _____. null hypothesis should not be rejected - Exhibit 10-4
The following information was obtained from independent random samples.
Assume normally distributed populations with equal variances.
Sample 1
Sample 2
Sample mean
45
42
Sample variance
85
90
Sample size
10
12
Refer to Exhibit 10-4. The point estimate for the difference between the means of the two populations is _____ 3 - Exhibit 10-5
The following information was obtained from matched samples.
Individual
Method 1
Method 2
1
7
5
2
5
9
3
6
8
4
7
7
5
5
6
Refer to Exhibit 10-5. The null hypothesis tested is H0: μd = 0. The test statistic for the mean of the population of differences is _____. –1 - Exhibit 10-6
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store’s credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly.
Store’s Card
Major Credit Card
Sample size
64
49
Sample mean
$140
$125
Population standard deviation
$10
$8
Refer to Exhibit 10-6. A point estimate for the difference between the mean purchases of the users of the two credit cards (Store’s Card – Major Credit Card) is _____ 15 - Exhibit 10-9
Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.
Driver
Manufacturer A
Manufacturer B
1
32
28
2
27
22
3
26
27
4
26
24
5
25
24
6
29
25
7
31
28
8
25
27
Refer to Exhibit 10-9. At 90% confidence, the null hypothesis _____. should be rejected - Exhibit 10-9
Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.
Driver
Manufacturer A
Manufacturer B
1
32
28
2
27
22
3
26
27
4
26
24
5
25
24
6
29
25
7
31
28
8
25
27
Refer to Exhibit 10-9. The mean of the differences (Manufacturer A – Manufacturer B) is _____ 2.0 - Exhibit 10-9
Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.
Driver
Manufacturer A
Manufacturer B
1
32
28
2
27
22
3
26
27
4
26
24
5
25
24
6
29
25
7
31
28
8
25
27
Refer to Exhibit 10-9. The value of the test statistic is _____. 2.256 - Exhibit 13-1
SSTR = 6,750 H0: μ1 = μ2 = μ3 = μ4
SSE = 8,000 Ha: At least one mean is different
nT = 20
Refer to Exhibit 13-1. The null hypothesis _____ should be rejected - Exhibit 13-1
SSTR = 6,750 H0: μ1 = μ2 = μ3 = μ4
SSE = 8,000 Ha: At least one mean is different
nT = 20
Refer to Exhibit 13-1. The mean square within treatments (MSE) equals 500 - Exhibit 13-1
SSTR = 6,750 H0: μ1 = μ2 = μ3 = μ4
SSE = 8,000 Ha: At least one mean is different
nT = 20
Refer to Exhibit 13-1. The test statistic to test the null hypothesis equals 4.5 - Exhibit 13-1
SSTR = 6,750 H0: μ1 = μ2 = μ3 = μ4
SSE = 8,000 Ha: At least one mean is different
nT = 20
Refer to Exhibit 13-1. The null hypothesis _____. should be rejected - Exhibit 13-1
SSTR = 6,750 H0: μ1 = μ2 = μ3 = μ4
SSE = 8,000 Ha: At least one mean is different
nT = 20
Refer to Exhibit 13-1. The test statistic to test the null hypothesis equals 4.5 - Exhibit 13-2
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
2,073.6
4
Between blocks
6,000.0
5
1,200
Error
20
288
Total
29
Refer to Exhibit 13-2. The test statistic to test the null hypothesis equals _____. 1.8 - Exhibit 13-2
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
2,073.6
4
Between blocks
6,000.0
5
1,200
Error
20
288
Total
29
Refer to Exhibit 13-2. The sum of squares due to error equals _____. 5,760 - Exhibit 13-2
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
2,073.6
4
Between blocks
6,000.0
5
1,200
Error
20
288
Total
29
Refer to Exhibit 13-2. The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is _____. 2.87 - Exhibit 13-2
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
2,073.6
4
Between blocks
6,000.0
5
1,200
Error
20
288
Total
29
Refer to Exhibit 13-2. The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is 2.87 - Exhibit 13-3
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Refer to Exhibit 13-3. The null hypothesis ___ should not be rejected - Exhibit 13-3
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Refer to Exhibit 13-3. The test statistic to test the null hypothesis equals _____. 1.059 - Exhibit 13-3
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Refer to Exhibit 13-3. The null hypothesis for this ANOVA problem is ____ μ1 = μ2 = μ3 - Exhibit 13-3
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Refer to Exhibit 13-3. The mean square between treatments (MSTR) equals 36 - Exhibit 13-3
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Refer to Exhibit 13-3. The null hypothesis _____. should not be rejected - Exhibit 13-5
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
180
3
Within treatments (Error)
Total
480
18
Refer to Exhibit 13-5. If at a 5% level of significance, we want to determine whether the means of the populations are equal, the critical value of F is 3.29 - Exhibit 13-5
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
180
3
Within treatments (Error)
Total
480
18
Refer to Exhibit 13-5. The mean square between treatments (MSTR) is ___ 60 - Exhibit 13-5
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
180
3
Within treatments (Error)
Total
480
18
Refer to Exhibit 13-5. The conclusion of the test is that the means _____. may be equal - Exhibit 13-6
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
8
Within treatments (Error)
2
Total
100
Refer to Exhibit 13-6. The mean square between treatments (MSTR) is _____. 16 - Exhibit 13-6
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
8
Within treatments (Error)
2
Total
100
Refer to Exhibit 13-6. If at a 5% significance level we want to determine whether or not the means of the populations are equal, the critical value of F is _____. 2.93 - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The conclusion of the test is that the means _____ may be equal - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The number of degrees of freedom corresponding to between treatments is 2 - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The mean square between treatments (MSTR) is _____. 32 - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The computed test statistic is _____. 4 - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The conclusion of the test is that the means _____. may be equal - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. The number of degrees of freedom corresponding to between treatments is _____. 2 - Exhibit 13-7
The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between treatments
64
Within treatments (Error)
96
Total
Refer to Exhibit 13-7. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is _____ 4.75 - If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the estimated regression equation _____. is 16%
- If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the estimated regression equation _____. is 16%
- In a completely randomized design involving three treatments, the following information is provided:
Treatment 1
Treatment 2
Treatment 3
Sample size
5
10
5
Sample mean
4
8
9
The overall mean for all the treatments is ______. 7.25 - In a regression analysis, the variable that is used to predict the dependent variable is the independent variable
- In an analysis of variance problem involving three treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is 14.8
- In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is 40
- In an analysis of variance where the total sample size for the experiment is nT and the number of populations is k, the mean square within treatments is _____. SSE/(nT – k)
- In regression analysis, the independent variable is typically plotted on the _____. x-axis of a scatter diagram
- In regression analysis, the independent variable is typically plotted on the x-axis of a scatter diagram
- In the analysis of variance procedure (ANOVA), factor refers to _____. the independent variable
- In the ANOVA, treatment refers to _ different levels of a factor
- In the ANOVA, treatment refers to _____. different levels of a factor
- In the ANOVA, treatment refers to different levels of a factor
- It is possible for the coefficient of determination to be __ less than 1
- Regression analysis is a statistical procedure for developing a mathematical equation that describes how one dependent and one or more independent variables are related
- Regression analysis was applied between sales (in $1000s) and advertising (in $100s), and the following regression function was obtained.
= 500 + 4x
Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is ___ $900,000 - The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is _____. 2.25
- The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is _____. 2.25
- The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called __ a residual
- The equation that describes how the dependent variable (y) is related to the independent variable (x) is called _____. the regression model
- The F ratio in a completely randomized ANOVA is the ratio of _____. MSTR/MSE
- The independent variable of interest in an ANOVA procedure is called a factor
- The least squares criterion is min E (yi – y^i)2
- The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination
- The required condition for using an ANOVA procedure on data from several populations is that the __ sampled populations have equal variances
- To determine whether the means of two populations are equal, either a t test or an analysis of variance can be performed
- When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____. SSTR/(k – 1)
Other Links:
See other websites for quiz:
Check on QUIZLET