- Exhibit 15-3 In a regression model involving 30 observations, the following estimated regression equation was obtained: ŷ = 17 + 4x1 − 3x2 + 8x3 + 8x4 For this model, SSR = 700 and SSE = 100. The computed F statistic for testing the significance of the above model is _____. 43.75
- A regression analysis involved 17 independent variables and 697 observations. The critical value of t
for testing the significance of each of the independent variable’s coefficients will have _____. 679 degrees of freedom - The manager of the service department of a local car dealership has noted that the service times of a sample of 17 new automobiles has a standard deviation of 4 minutes. A 95% confidence interval estimate for the variance of service times for all its new automobiles is _. 8.87 to 37.06
- In regression analysis, which of the following is NOT a required assumption about the error term ε
? The values of the error term are dependent. - Exhibit 10-1 Salary information regarding two independent random samples of male and female employees of a large company is shown below. Refer to Exhibit 10-1. At 95% confidence, we have enough evidence to conclude that the _. null hypothesis fails to be rejected
- A regression model involved 5 independent variables and 126 observations. The critical value of t
for testing the significance of each of the independent variable’s coefficients will have _____. 120 degrees of freedom - The χ2 value for a one-tailed test (lower tail) when the level of significance is 0.1 and the sample size is 14 is _. 7.04150
- Exhibit 13-5
Part of an ANOVA table is shown below.
Source of Variation
Sum of
Degrees of
Mean
F
Squares
Freedom
Square
Between treatments
180
3
Within treatments (Error)
Total
480
18
The mean square within treatments (MSE) is _____. 20 - Exhibit 15-8 The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ŷ = 30 + 0.7x1 + 3x2 Also provided are SST = 1200 and SSE = 384. If we want to test for the significance of the model, the critical value of F at a 5% significance level is _____. 3.35
- In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is _. 40
- Independent simple random samples are selected to test the difference between the means of two populations whose standard deviations are not known. We are unwilling to assume that the population variances are equal. The sample sizes are n1 = 25 and n2 = 35. The correct distribution to use is the t distribution with __ degrees of freedom. The correct degrees of freedom cannot be calculated without being given the sample standard deviations.
- The F ratio in a completely randomized ANOVA is the ratio of _____. MSTR/MSE
- Exhibit 17-2 Consider the following time series: t 1 2 3 4 Yi 4 7 9 10 Refer to Exhibit 17-2. The intercept, b0, is ______. 2.5
- Exhibit 14-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). n = 10 Σx = 55 Σy = 55 Σx2 = 385 Σy2 = 385 Σxy = 220 Refer to Exhibit 14-1. The least squares estimate of b1 equals _____. -1
- Exhibit 13-2
Source
of Variation
Sum of
Degrees of
Mean
F
Squares
Freedom
Square
Between
treatments
2,073.60
4
Between
blocks
6,000.00
5
1,200
Error
20
288
Total
29
The mean square between treatments equals _____. 518.4 - Exhibit 15-3 In a regression model involving 30 observations, the following estimated regression equation was obtained: ŷ = 17 + 4x1 − 3x2 + 8x3 + 8x4
For this model, SSR = 700 and SSE = 100.
The coefficient of determination for the above model is approximately _____. .875 - Part of an ANOVA table is shown below. Source of Variation
Sum of
Degrees of
Mean
Squares
Freedom
Square
Between treatments
180
2
Within treatments (Error)
Total
450
The mean square within treatments (MSE) is _____. 18
18. The following information was obtained from matched samples.
| Individual | Method 1 | Method 2 |
| 1 | 8 | 3 |
| 2 | 3 | 8 |
| 3 | 5 | 9 |
| 4 | 5 | 5 |
| 5 | 4 | 5 |
If the null hypothesis is tested at 0.05 confidence level, the null hypothesis _. should not be rejected
19. The following information was obtained from matched samples.
| Individual | Method 1 | Method 2 |
| 1 | 5 | 4 |
| 2 | 7 | 11 |
| 3 | 5 | 10 |
| 4 | 6 | 6 |
| 5 | 7 | 4 |
The 95% confidence interval for the mean of the population of differences (Method 1 – Method 2) is _. –5.211 to 3.211
20. Exhibit 18-6 Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The value of the test statistic is _. 2.84
21. 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 MPG for each manufacturer and driver is shown below.
| 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
22. Consider the following.
| n = 37 | H0: σ2 ≥ 45 |
| s2 = 40 | Ha: σ2 < 45 |
The test statistic has a value of _. 32.00
23. Exhibit 14-4 The following information regarding a dependent variable (y) and an independent variable (x) is provided.
| x | y | |
| 2 | 4 | |
| 1 | 3 | |
| 4 | 4 | |
| 3 | 6 | |
| 5 | 8 | |
| SSE = 6 |
| SST = 16 |
Refer to Exhibit 14-4. The least squares estimate of the slope is _. 1
24. Which of the following has a χ2 distribution? (n – 1)σ2/s2
25. The standardized residual is provided by dividing each residual by its _. standard deviation
26. The joint effect of two variables acting together is called _. interaction
27. Exhibit 16-4 In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats’ diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:
| ŷ = 36 + .8x1 − 1.7x2 | ||||
| Also provided are SSR = 60 and SST = 180. | ||||
| The multiple coefficient of determination is _____. | ||||
.5
28. Below are the first two values of a time series and the first two values of the exponential smoothing forecast.
| Time Period (t) | Time Series Value (Y t) | Exponential Smoothing | |
| Forecast (F t) | |||
| 1 | 18 | 18 | |
| 2 | 22 | 18 | |
If the smoothing constant equals .3, then the exponential smoothing forecast for time period 3 is _. 19.2
29. All of the following are true about a cyclical pattern EXCEPT it is __. usually easier to forecast than a seasonal pattern due to less variability
30. To avoid the problem of not having access to tables of F distribution with values given for the lower tail, the numerator of the test statistic should be the one with the _. larger sample variance
31. Exhibit 18-1 Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, five people preferred Brand Y, and two people were undecided. We want to determine whether or not the two products are equal.
The hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if _.
the number of “+” signs is greater than or equal to 2 and less than or equal to 6
Other Links:
See other websites for quiz:
Check on QUIZLET