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(solution) could you answer 2,4,13,14,16,19,24,25,29,33,36 from the

could you answer 2,4,13,14,16,19,24,25,29,33,36 from the following doc

Directions: Blacken the letter corresponding to the best answer on your

scantron (2.5 points each). 1. If Y = 4 + 11X the slope of the line equals: a. X b. 14 c. 11 d. 4 2.

In the regression equation Y = a + bX where a = -2 and b = 5 the

relationship can be said to be: a. inverse because b < 0 b. direct because b > 0 c. indeterminate since a < 0 and b > 0 d. meaningless since a < 0 3.

If we determine that the correlation between X and Y is statistically

significant we can conclude: a. that X did not cause Y to occur b. that X caused Y to occur c.

d. 4. there may be a causal relationship between X and Y

that Y caused X to occur Pamela Stones is interested in determining whether weight gains of

sheep are independent of the type of feed they receive. This is an

example of: a. a two way ANOVA test of factor design b. a Chi-square test on weight versus feed c.

a regression analysis of weight gain on number of

months in each field

d. none of the above 5.

A coefficient of multiple determination of .45 for the regression Y

= a + b1X1 + b2X2 + e means that: a.

20.25 percent of the variation in Y is accounted for

in terms of variation in X1 and X2

b.

45 percent of the variation in Y is not accounted for

in terms of variation in X1 and X2

c.

45 percent of the variation in Y is accounted for in

terms of variation in X1 and X2

d.

55 percent of the variation in Y is accounted for in

terms of variation in X1 and X2 6. The chi-square technique of hypothesis testing can be used a. to conduct goodness-of-fit tests b.

to test the alleged independence of two quantitative

variables

c.

d. 7. to make inferences about homogeneity

for all of the above purposes (and more) In the time series forecasting, the most important characteristic of a

model is

a. the quality of the fit b. the amount of multicollinearity in the data c. the amount of money you get paid to produce it d. the amount of autocorrelation in the data 8.

In simple regression analysis, the sum of the squares for the

regression is called a.

b. the error sum of squares c. the total variation of Y d. 9. the explained variation for Y the unexplained variation for Y If you wanted to identify the range in which a regression

coefficient should fall with 90% assurance, the analysis that you

should perform is called a(n): a.

b. Chi-square goodness of fit test c. Confidence interval d. 10. Goldfeld-Quant test Regression involving cross-sectional data The "least squares method" can be described as: a. a method of fitting a line to a set of points such that

the absolute values of deviations are minimized b. {(Y - X)}2 c. (X - X)2 d.

a method of fitting a line to a set of points such that

the squared deviations are minimized 11. A CPI Index Number value of 212.34 for 2013 implies that there

has been ________ inflation since the base year of 1983. a.

b. 100% b. 12.34% d. 12. 6.17% 112.34% When a contingency table is based on a Chi Square test of

independence case, the number of degrees of freedom is the

number of rows: a.

b. minus one times the number of columns c. minus one times the number of columns minus one d. 13. times the number of columns times the number of columns minus one All of the following are reasons for obtaining a trend line except a. we wish to eliminate trend movements from a time

series so we can study the other component of the

series b.

we are interested in studying the historical depiction

of trend

c.

we are interested in using the trend line to predict

future data

d. 14. we are interested in analyzing relationships between

troughs and peaks If we want to change the magnitude of a time series we simply: a. divide each number into the data set by 100 b. multiply the slope and intercept by 4 c.

divide the slope by the number of periods of data

each year

d.

divide the slope and intercept by the number of

periods of data each year 15. In the equation: Yc = 31 + 4.2X1 + 3.5X2: a. Yc = 38.7 if X1 + X2 = 0 b.

Yc increases by 31 for every 1 unit increased in X1

and X2

c. Yc decreases by 3.5 if X2 decreases by 1 unit d.

Yc increases by 4.2 if X1 decreases by 1 unit and X2

is unchanged 16. The method of least squares (void of econometric problems)

produces estimated regression coefficients (such as a and b) that

are, with respect to the true regression coefficients (such as & ), a.

b. efficient estimators c. the best linear estimators d. 17. unbiased estimators all of the above In multiple regression analysis, according to a widely used rule of

thumb, a parameter estimate b is significant at the 95 percent level

of confidence as long as the associated p value a. is equal to or greater than the parameter b. is positive c. is zero or positive d. is less than .05 18.

A sample coefficient of multiple determination, R2, that is close to

zero indicates a. a near-perfect fit of the regression plane to the data b.

data an extremely bad fit of the regression plane to the c.

neither (a) nor (b), because such a coefficient must

be close to -1 or +1

d.

the regression sum of squares exceeds the total sum

of squares 19. One assumption of regression analysis concerns the statistical

independence of different sample errors, but this assumption is

often violated when the analysis employs a.

b. the step-down method c. a correlation matrix d. 20. dummy variables time-series data Multicollinearity refers to: a.

a condition in which the independent variables are

highly correlated with one another

b.

the fact that for any values of X1 and X2, the

standard errors are the same c. the fact that a value of a time series may be

calculated with its value at some other time period d.

the relationship between the predictor variables and

the independent variables 21. Homoscedasticity refer to: a.

the assumption that values of the Y variable are

independent of one another

b. the necessity of the normality assumption c.

the fact that the Y values are conditional upon

corresponding X values

d.

the assumption that all the error terms have about

the same standard deviation 22. In the following regression equation a logarithmic transformation

was applied to the dependent variable Y:

ln(y) = 2.07 + 0.55

ln(x)

A one percent change in x implies that the average value of

y increases by: a. 2.07 b. -7.92 c. .55% d. 2.07% 23.

The easiest way to cure a serious multicollinearity problem in a

multiple regression involves a. b. setting up a simple correlation matrix and noting

any possible correlation between any one

independent variable with all of the others as a

group c. dropping one of the highly collinear variables from

the regression, although this causes the model to be

misspecified . d. 24. regressing each of the independent variables against

all of the others and noting whether any of the

resultant R2 values lies close to 1 performing an analysis of residuals The trend equation Y = 14 + 3X + 2X2 : (for X = 0,1,2,?) a.

b. will at first increase and then decrease c. will at first decrease and then increase d. 25. is an example of an exponential trend equation is an example of a linear trend equation If independent variables that were uncorrelated with the dependent

variable were added to the regression equation, the coefficient of

multiple determination would ___________, while the adjusted

coefficient of determination would ________________ . a. decrease, increase b. decrease, remain the same c. remain the same, fall d.

e. 26. increase, decrease

increase, increase In the United States, the unemployment rate must be

a.

b. adjusted for christmastitis c. adjusted for seasonality d. 27. adjusted for cyclicality adjusted in all of the above ways In a macroeconomic forecasting model over time: a.

b. simultaneous equation bias is likely c. autocorrelation is likely d. 28. autocorrelation is unlikely both b and c Presented below is an ANOVA table: Source d.f. SS Regression 3 246 Error 4 78 Total 7 324 MS F a.

b. The Mean Square for the regression is 82 c. The Mean Square for the errors is 19.5 d. 29. The F value is 4.2 All of the above are true The primary role of a statistician is to a. interpret data using the best techniques b. interpret data correctly c. interpret data quickly d. interpret data at the lowest price e.

get paid as much as he/she can to do as little as

possible 30.

Given the annual data 200, 250, 300, 350, the first two components

of a 3-year centered moving-averages series are a. 200, 300 b. 200, 250 c. 275, 325 d. 250, 300 31. The Durbin-Watson test is designed to detect a.

b. multicollinearity c. autocorrelation d. 32. covariance specification error Cyclical variation: a. refers to periodic up and down movements in a time

series that tends to occur over long periods of time b. cannot be accurately measured c. is invariably positive over any length of time d.

refers to variation in the data that tend to recur

during a period of one year or less 33. In a naive model over 120 observations with a time-trend and

seasonal dummy variable the estimated coefficients are: Yt = 1.03 + 0.34t + 4.32 WINTER + 1.62

SPRING + 3.78 SUMMER

(0.03) (1.12) (1.09) (1.20) where the standard error of the slope coefficients are shown in parentheses

under each item (remember that a t = coefficient/ standard error). At the 5% significance level there is not enough evidence to reject the null

hypothesis that: a.

the average level of Y is the same between spring

and fall

b.

the average level of Y differs between winter and

summer

c.

the average level of Y is the same between summer

and fall

d.

the average level of Y differs between spring and

summer 34. The results of a polynomial trend equation were y = 6.833 - 0.429x

+ 2.524x2, with n = 8. The x values were coded so that x = 0 in

1992. The estimated value of y for 2002 is: a.

b. 254.943 c. -4.29 d. 252.400 e. 35. 6.833 992.127 The upsurge in retail sales in the fall of each year is an example of: a. the irregular component. b. the trend component. c. the seasonal component. d.

e. 36. the cyclical component.

the disaster component. The graph on the board implies: a.

a process that could effectively be estimated using

linear regression

b.

a process that should be estimated using a nonlinear regression

c.

d. a mean of 118. e. 37. a process that would imply a exponential trend a chi-square chart for beans. Given the following list of residuals: time residual time residual 1 -5.6 11 -11.7 2 -2.9 12 -16.5 3 -5.5 13 -17.0 4 -10.5 14 -22.0 5 -8.5 15 -21.0 6 22.6 16 9.0 7 19.4 17 7.1 8 16.5 18 7.5 9 15.2 19 5.2 10 12.0 20 6.5 the pattern suggests: a.

b. heteroscedasticity is present. c. autocorrelation is present. d. 38. multicollinearity is present. homoscedasticity is present. A wage contract calls for a wage increase to include one-half of the

annual percentage increase (if any) in the Consumer Price Index.

In 2002 the CPI equaled 124.0 and in 2003 equaled 130.7. The

wage percentage increase equaled: a.

b. 5.40 c. 6.70 d. 3.35 e. 39. 2.70 0.50 A leading publication lists the average gross weekly earnings in

2013 as $385.09. The report also lists the average gross weekly

earnings in constant dollars with 1999 = 100, as $208.42. Find the

index value used to adjust average gross weekly earnings. The

index value is: a.

b. 100.0 c. 159.0 d. 169.8 e. 40. 164.8 184.8 The best time for you to have taken this course was: a. 9:00 p.m. b. at the very end of your curriculum c. Tuesday d. during a hurricane e. at the beginning of your business courses---please

advise your fellow students so that they take it when

they should!

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