BUA 209 Quiz 3 | Course Paper

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TABLE 3-4

The ordered array below represents the number of cargo manifests approved by customs

inspectors of the Port of New York in a sample of 35 days:

16, 17, 18, 18, 19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25,

26, 26, 26, 27, 28, 28, 29, 29, 31, 31, 32, 32

Note: For this sample, the sum of the values is 838, and the sum of the squared

differences between each value and the mean is 619.89.

Referring to Table 3-4, the coefficient of variation of the customs data is ________

percent.

TABLE 17-9

What are the factors that determine the acceleration time (in sec.) from 0 to 60 miles per

hour of a car? Data on the following variables for 171 different vehicle models were

collected:

Accel Time: Acceleration time in sec.

Cargo Vol: Cargo volume in cu. ft.

HP: Horsepower

MPG: Miles per gallon

SUV: 1 if the vehicle model is an SUV with Coupe as the base when SUV and Sedan

are both 0

Sedan: 1 if the vehicle model is a sedan with Coupe as the base when SUV and Sedan

are both 0

The regression results using acceleration time as the dependent variable and the

remaining variables as the independent variables are presented below.

The various residual plots are as shown below.

The coefficient of partial determination ( ) of each of the 5

predictors are, respectively, 0.0380, 0.4376, 0.0248, 0.0188, and 0.0312.

The coefficient of multiple determination for the regression model using each of the 5

variables Xj as the dependent variable and all other X variables as independent variables

( ) are, respectively, 0.7461, 0.5676, 0.6764, 0.8582, 0.6632.

Referring to Table 17-9, what is the value of the test statistic to determine whether

Cargo Vol makes a significant contribution to the regression model in the presence of

the other independent variables at a 5% level of significance?

TABLE 4-9

A survey conducted by the Segal Company of New York found that in a sample of 189

large companies, 40 offered stock options to their board members as part of their

noncash compensation packages. For small- to mid-sized companies, 43 of the 180

surveyed indicated that they offer stock options as part of their noncash compensation

packages to their board members.

Referring to Table 4-9, if a company is selected at random, what is the probability that

the company offered stock options to their board members?

TABLE 3-3

The ordered array below represents the number of vitamin supplements sold by a health

food store in a sample of 16 days.

19, 19, 20, 20, 22, 23, 25, 26, 27, 30, 33, 34, 35, 36, 38, 41

Note: For this sample, the sum of the values is 448, and the sum of the squared

differences between each value and the mean is 812.

Referring to Table 3-3, the variance of the number of vitamin supplements sold in this

sample is ________.

TABLE 15-6

Given below are results from the regression analysis on 40 observations where the

dependent variable is the number of weeks a worker is unemployed due to a layoff (Y)

and the independent variables are the age of the worker (X1), the number of years of

education received (X2), the number of years at the previous job (X3), a dummy variable

for marital status (X4: 1 = married, 0 = otherwise), a dummy variable for head of

household (X5: 1 = yes, 0 = no) and a dummy variable for management position (X6: 1

= yes, 0 = no).

The coefficient of multiple determination ( ) for the regression model using each of

the 6 variables Xj as the dependent variable and all other X variables as independent

variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993.

The partial results from best-subset regression are given below:

Referring to Table 15-6, what is the value of the variance inflationary factor of Head?

Referring to Table 14-4, one individual in the sample had an annual income of $100,000

and a family size of 10. This individual owned a home with an area of 7,000 square feet

(House = 70.00). What is the residual (in hundreds of square feet) for this data point?

TABLE 14-4

A real estate builder wishes to determine how house size (House) is influenced by

family income (Income) and family size (Size). House size is measured in hundreds of

square feet and income is measured in thousands of dollars. The builder randomly

selected 50 families and ran the multiple regression. Partial Microsoft Excel output is

provided below:

Also SSR (X1âˆ£ X2) = 36400.6326 and SSR (X2âˆ£ X1) = 3297.7917

TABLE 8-8

The president of a university would like to estimate the proportion of the student

population that owns a personal computer. In a sample of 500 students, 417 own a

personal computer.

Referring to Table 8-8, the critical value for a 99% confidence interval for this sample is

________.

Suppose A and B are mutually exclusive events where P(A) = 0.4 and P(B) = 0.5. Then

P(A and B) = ________.

TABLE 13-9

It is believed that, the average numbers of hours spent studying per day (HOURS)

during undergraduate education should have a positive linear relationship with the

starting salary (SALARY, measured in thousands of dollars per month) after graduation.

Given below is the Excel output for predicting starting salary (Y) using number of hours

spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is

shown.

Note: 2.051E – 05 = 2.051 âˆ— 10-05 and 5.944E – 18 = 5.944 âˆ— 10-18.

Referring to Table 13-9, the p-value of the measured F test statistic to test whether

HOURS affects SALARY is ________.

TABLE 19-5

The following payoff table shows profits associated with a set of 2 alternatives under 3

possible events.

Suppose that the probability of Event 1 is 0.2, Event 2 is 0.5, and Event 3 is 0.3.

Referring to Table 19-5, what is the optimal action using the coefficient of variation?