BUAL EXAM II GUPTA

In testing for the equality of means from two independent populations, if the hypothesis of equal population means is rejected at α = .01, it will ________ be rejected at α = .05.

always

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The null hypothesis would be

PInternet − Pstore ≤ .10.

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as

PInternet − Pstore > .10.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 10, n2 = 10, the degrees of freedom for the t statistic is ________.

18

The ________ measures the strength of the linear relationship between the dependent variable and the independent variable.

correlation coefficient

The correlation coefficient may assume any value between

−1 and 1.

The following results were obtained as part of a simple regression analysis.

r2 = .9162

F statistic from the F table = 3.59

Calculated value of F from the ANOVA table = 81.87

α = .05

p-value = .000

The null hypothesis of no linear relationship between the dependent variable and the independent variable

is rejected.

The coefficient of determination measures the ________ explained by the simple linear regression model.

proportion of variation

The ________ of the simple linear regression model is the value of y when the mean value of x is zero.

y-intercept

In multiple regression analysis, the explained sum of squares divided by the total sum of squares yields the __________.

R2

Which one of the following is not an assumption about the residuals in a regression model?

variance of zero

The ________ regression method is used when the response variable is a qualitative or a categorical variable.

logistic

Which of the following methods do we use to best fit the data in logistic regression?

Maximum likelihood

A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?

3/12

In testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the

t statistic.

When testing the difference between two population proportions using large independent random samples, the ________ test statistic is used.

z

If we are testing the difference between the means of two normally distributed independent populations with samples of n1= 10, n2 = 10, the degrees of freedom for the t statistic is ________.

18

An accountant wishes to predict direct labor cost (y) on the basis of the batch size (x) of a product produced in a job shop. Data for 12 production runs are given in the table below, along with the Excel output from fitting a least squares regression line to the data.

Calculate b1 and b0.

B0 = 18.488, B1 = 10.146

When a least squares line is fit to the 8 observations in the fuel consumption data, we obtain SSE = 4.427. Calculate s2 and s.

s2 = .738, s = .859

In a simple linear regression analysis, the correlation coefficient (r) and the slope (b) ________ have the same sign.

always

All of the following are assumptions of the error terms in the simple linear regression model except

error terms have a mean of zero.

error terms have a constant variance.

error terms are dependent on each other.

errors are normally distributed.

error terms are dependent on each other.

In simple regression analysis, the quantity that gives the amount by which Y(dependent variable) changes for a unit change in X (independent variable) is called the ________.

slope of the regression line.

A simple regression analysis with 20 observations would yield ________ degrees of freedom error and ________ of freedom total.

18, 19

The correlation coefficient may assume any value between _______.

−1 and 1.

In simple regression analysis, if the correlation coefficient is a positive value, then _____.

the slope of the regression line must also be positive.

In logistic regression, ___________.

the dependent variable is categorical.

The probability of a new employee passing a test is .20. What are the odds of the employee passing the test?

.25

Which is not the Goodness of fit test in Logistic regression

Minitab regression

tα is given by

tα / 2, df

P=

x / n

y-hat SLR=

b0 + b1x

residual/error=

observed - predicted

total variation=

explained variation + unexplained

r²=

explained variation / total variation

r=

√r² [match sign to slope under SLR]

s²=

SSE / (n-2)

F model=

explained / [unexplained / (n-2)]

Fα is given by

Fα, df1, df2

y-hat MR=

B0 + B1x1 + B2x2

R=

√R² [always positive under MR]

P(x1,x2)=

[e (B0 + B1x1)] / [1 + e*(B0 + B1x1)]

odds ratio

probability of success / (1 - probability of success)

In testing for the equality of means from two independent populations, if the hypothesis of equal population means is rejected at α = .01, it will ________ be rejected at α = .05

a. always

b. sometimes

c. never

a. always

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The null hypothesis would be

a. PInternet − Pstore > .10

b. PInternet − Pstore < .10

c. PInternet − Pstore ≥ .10

d. PInternet − Pstore ≤ .10

e. PInternet − Pstore = .10

d. PInternet − Pstore ≤ .10

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis would be stated as

a. PInternet − Pstore > 0

b. PInternet − Pstore < 0

c. PInternet − Pstore ≥ .10

d. PInternet − Pstore ≤ .10

e. PInternet − Pstore > .10

e. PInternet − Pstore > .10

If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 10, n2 = 10, the degrees of freedom for the t statistic is ________.

a. 19

b. 18

c. 9

d. 8

e. 10

c. 9

The ________ measures the strength of the linear relationship between the dependent variable and the independent variable.

a. correlation coefficient

b. distance value

c. Y-intercept

d. residual

a. correlation coefficient

The correlation coefficient may assume any value between

a. 0 and 1

b. −∞ and ∞

c. 0 and 8

d. −1 and 1

e. −1 and 0

d. −1 and 1

The following results were obtained as part of a simple regression analysis.

r2 = .9162F

statistic from the F table = 3.59

Calculated value of F from the ANOVA table = 81.87

α = .05

p-value = .000

The null hypothesis of no linear relationship between the dependent variable and the independent variable

a. is rejected

b. cannot be tested with the given information

c. is not rejected

d. is not an appropriate null hypothesis for this situation.

a. is rejected

The coefficient of determination measures the ________ explained by the simple linear regression model.

a. correlation

b. proportion of variation

c. standard error

d. mean square error

b. proportion of variation

The ________ of the simple linear regression model is the value of y when the mean value of x is zero.

a. y-intercept

b. slope

c. independent variable

d. response variable

a. y-intercept

In multiple regression analysis, the explained sum of squares divided by the total sum of squares yields the __________.

a. standard error

b. F statistic

c. R2

d. adjusted R2 or R−2

e. t statistic

c. R2

Which one of the following is not an assumption about the residuals in a regression model?

a. constant variance

b. independence

c. normality

d. variance of zero

e. mean of zero

d. variance of zero

The ________ regression method is used when the response variable is a qualitative or a categorical variable.

a. quadratic

b. logistic

c. multiple

d. simple

b. logistic

Which of the following methods do we use to best fit the data in logistic regression?

a. Least square error

b. Maximum likelihood

c. Exponential decay

d. Both least square error and exponential decay

b. Maximum likelihood

A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?

a. 3/15

b. 5

c. 4

d. 3/12

d. 3/12

CH 11 Quiz

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that Internet sales are more than 10 percent higher than store sales. The null hypothesis would be

a. PInternet − Pstore = .10

b. PInternet − Pstore < .10

c. PInternet − Pstore > .10

d. PInternet − Pstore ≤ .10

e. PInternet − Pstore ≥ .10

d. PInternet − Pstore ≤ .10

CH 11 Quiz

In testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the

a. None of the other choices is correct

b. F statistic

c. chi-square statistic

d. z statistic

e. t statistic

e. t statistic

CH 11 Quiz

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as

a. PInternet − Pstore > .10

b. PInternet − Pstore > 0

c. PInternet − Pstore ≤ .10

d. PInternet − Pstore < 0

e. PInternet − Pstore ≥ .10

a. PInternet − Pstore > .10

CH 11 Quiz

When testing the difference between two population proportions using large independent random samples, the ________ test statistic is used.

a. None of the other choices is correct

b. t

c. F

d. z

e. chi-square

d. z

CH 11 Quiz

If we are testing the difference between the means of two normally distributed independent populations with samples of n1= 10, n2 = 10, the degrees of freedom for the t statistic is ________.

a. 18

b. 9

c. 19

d. 8

e. 20

a. 18

CH 14 Quiz

An accountant wishes to predict direct labor cost (y) on the basis of the batch size (x) of a product produced in a job shop. Data for 12 production runs are given in the table below, along with the Excel output from fitting a least-squares regression line to the data.

LaborCost = 18.488 + 10.146 * Bsize

Calculate b1 and b0.

a. B0 = 18.488, B1 = 12

b. B0 = 10.146, B1 = 18.488

c. B0 = 12, B1 = 10.146

d. B0 = 18.488, B1 = 10.146

d. B0 = 18.488, B1 = 10.146ui

CH 14 Quiz

When a least-squares line is fit to the 8 observations in the fuel consumption data, we obtain SSE = 4.427. Calculate s2 and s

a. s2 = .738, s = .859

b. s2 = 4.427, s = 8

c. s2 = .859, s = 4.56

d. s2 = 8, s = 4.427

a. s2 = .738, s = .859

CH 14 Quiz

In a simple linear regression analysis, the correlation coefficient (r) and the slope (b) ________ have the same sign.

a. never

b. sometimes

c. always

d. never

c. always

CH 14 Quiz

All of the following are assumptions of the error terms in the simple linear regression model except

a. error terms have a constant variance

b. error terms are dependent on each other

c. error terms have a mean of zero

d. errors are normally distributed

b. error terms are dependent on each other

CH 14 Quiz

The ________ measures the strength of the linear relationship between the dependent variable and the independent variable.

a. Residual

b. correlation coefficient

c. distance value

d. Y-intercept

b. correlation coefficient

CH 14 Quiz

In simple regression analysis, the quantity that gives the amount by which Y(dependent variable) changes for a unit change in X (independent variable) is called the ________.

a. slope of the regression line

b. correlation coefficient

c. coefficient of determination

d. standard error

e. y-intercept of the regression line

a. slope of the regression line

CH 14 Quiz

A simple regression analysis with 20 observations would yield ________ degrees of freedom error and ________ of freedom total.

a. 18, 20

b. 18, 19

c. 1, 20

d. 1, 19

e. 19, 20

b. 18, 19

CH 14 Quiz

The correlation coefficient may assume any value between _______.

a. 0 and 8

b. −1 and 1

c. −∞ and ∞

d. 0 and 1

e. −1 and 0

b. −1 and 1

CH 14 Quiz

The following results were obtained as part of a simple regression analysis.

r2 = .9162

F statistic from the F table = 3.59

Calculated value of F from the ANOVA table = 81.87

α = .05

p-value = .000

The null hypothesis of no linear relationship between the dependent variable and the independent variable _____

a. cannot be tested with the given information

b. is not rejected

c. is rejected

d. is not an appropriate null hypothesis for this situation

c. is rejected

CH 14 Quiz

In simple regression analysis, if the correlation coefficient is a positive value, then _____.

a. the slope of the regression line must also be positive

b. the coefficient of determination can be either positive or negative, depending on the value of the slope

c. the least squares regression equation could have either a positive or a negative slope

d. the standard error of estimate can have either a positive or a negative value

e. the y-intercept must also be a positive value

a. the slope of the regression line must also be positive

CH 15 Quiz

DF SS MS F P

2 23.2259 11.6129 27.21 0.0021

5 2.1341 0.4268

7 25.3600

Report the total variation

a. 23.2259

b. 25.360

c. 11.6129

d. 2.1341

b. 25.360

CH 15 Quiz

DF SS MS F P

2 23.2259 11.6129 27.21 0.0021

5 2.1341 0.4268

7 25.3600

Report the explained variation

a. 11.6129

b. 25.360

c. 23.2259

d. 2.1341

c. 23.2259

CH 15 Quiz

DF SS MS F P

2 23.2259 11.6129 27.21 0.0021

5 2.1341 0.4268

7 25.3600

Calculate the F model

a. 11.6129

b. 2.1341

c. 27.21

d. 25.36

c. 27.21

CH 15 Quiz

DF SS MS F P

2 23.2259 11.6129 27.21 0.0021

5 2.1341 0.4268

7 25.3600

Report the standard error

a. 11.6129

b. 2.1341

c. .653

d. 23.2259

c. .653

CH 15 Quiz

DF SS MS F P

2 23.2259 11.6129 27.21 0.0021

5 2.1341 0.4268

7 25.3600

Use the F(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting α equal to .05.

a. Sometimes reject Ho

b. Fail to reject Ho

c. Do not reject Ho

d. Reject Ho

d. Reject Ho

CH 16 Quiz

The ________ regression method is used when the response variable is a qualitative or a categorical variable.

a. multiple

b. quadratic

c. simple

d. logistic

d. logistic

CH 16 Quiz

Which of the following methods do we use to best fit the data in logistic regression?

a. Exponential decay

b. Least square error

c. Both least square error and exponential decay

d. Maximum likelihood

d. Maximum likelihood

CH 16 Quiz

In logistic regression, ___________.

a. the dependent variable is divided into two equal subcategories

b. the dependent variable is categorical

c. the dependent variable is continuous

d. there is no dependent variable

b. the dependent variable is categorical.

CH 16 Quiz

The probability of a new employee passing a test is .20. What are the odds of the employee passing the test?

a. .25

b. .80

c. .75

d. .20

a. .25

CH 16 Quiz

Which is not the Goodness of fit test in Logistic regression?

a. Minitab regression

b. Deviance

c. Pearson

d. Hosmer-Lemeshow

a. Minitab regression