1- True or False: A multiple regression is called “multiple” because it has seve

Question

1- True or False:  A multiple regression is called “multiple” because it has several dependent variables.

2- True of False: The Chancellor of a university has commissioned a team to collect data on students’ GPAs and the amount of time they spend bar hopping every week (measured in minutes).  He wants to know if imposing much tougher regulations on all campus bars to make it more difficult for students to spend time in any campus bar will have a significant impact on general students' GPAs. A scatterplot will give him a definite answer.

3- The error represents the discrepancy between the observed dependent variable and its  _______ value.

a- X

b- Hypothesized

c- Independent

d- Predicted or estimated average

4-

TABLE 13-7

The managing partner of an advertising agency believes that his company's sales are related to the industry sales. He uses Microsoft Excel’s Data Analysis tool to analyze the last 4 years of quarterly data (i.e., n = 16) with the following results:

Regression Statistics
Multiple R  0.802
R Square  0.643
Adjusted R Square 0.618
Standard Error SYX 0.9224
Observations  16

ANOVA
                df       SS       MS         F         Sig.F
Regression 1       21.497   21.497    25.27   0.000
Error        14     11.912     0.851
Total        15      33.409

Predictor    Coef        StdError    tStat    P-value
Intercept   3.962         1.440        2.75     0.016
Industry     0.040451 0.008048   5.03      0.000

Durbin-Watson Statistic  1.59

Referring to Table 13-7, the value of the quantity that the least squares regression line explains is

a. 11.912

b. 21.497

c. 33.409

d. 1.59

5- Referring to Table 13-7, the prediction for a quarter in which X = 100 is Y = _____

a- 3.962

b- 1.59

c- 8.0071

d- 0.040451

6- Referring to Table 13-7, the correlation between the predicted and actual sales is ____

a- 0.9224

b- 0.040451

c- 0.643

d - 0.802

7- Referring to Table 13-7, the amount of variation explained by using Industry as the independent variable is ________.

a- 0.9224

b- 0.040451

c- 0.643

d - 0.802

8- If the Durbin-Watson statistic has a value close to 0, which assumption is violated? In other words, which assumption is the Durbin-Watson statistic checking to see is violated?

a - Independence of errors

b- Normality of errors

c- Homoscedasticity

d- none of the above

9- True or False: The coefficient of determination represents the ratio of SSE to SST

Explanation / Answer

1) FALSE

EXPLANATION: In multiple regression analysis there are several independent variables and one dependent variable

2) FALSE

EXPLANATION: Scatter plot does not give a complete information . It gives a vague information

3) (d) predicted (e = Y-Yhat)

4)d)

here durbin watson statistic is 1.59

5)(C)

The regression equation is Y = 3.962 + 0.040451X

If X = 100 THEN Y = 3.962+0.040451(100) = 8.0071

6)(D) (R = 0.802)

7) (C)

EXPLANATION: Amount of variation is interpreted by using coefficient of determination and it is denoted by r2

8) (a) independence of errors

9) FALSE

Explanation: It is defined by SSregression/SST (SSR/SST)

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