Info 281 Test 3 Chapter 14 Multiple Choice

Cal F for this problem is equal to: a. .434 b. .75 c. .65 d. None of the above

a.) .434

The correlation coefficient is equal to: a. .648 positive b. .648 negative c. .42 positive d. .42 negative e. None of the above

a.) .648 positive

The coefficient of determination is equal to: a. 42% b. 58% c. 75% d. None of the above

a.) 42%

MSE is equal to: a. 69.457 b. 30.201 c. 41.674 d. 71.875 e. None of the above

a.) 69.457

In regression analysis if SSE = 200 and SSR = 300, the coefficient of determination is a. .6667 b. .6000 c. .4000 d. 1.5 e. none of the above

b.) .6000

If all the points of a scattergram lie on the least squares line then the coefficient of determination for these variables based on this data is: a. 0 b. 1 c. either 1 or -1 depending upon whether the relationship is positive or negative d. could be any value between - 1 and 1 e. none of the above

b.) 1

MSR is equal to: a. 69.457 b. 30.201 c. 41.674 d. 71.875 e. None of the above

b.) 30.201

In simple linear regression, which of the following is not true? a. The F and t-test yield the same results b. The F and t -test may or may not yield the same results c. The relationship between x and y is represented by means of a straight line d. The value of F = t2 e. none of the above

b.) The F and t-test may or may not yield the same results

Correlation analysis is used to determine the a. the equation of a regression line b. the strength of the relationship between the dependent and independent variables c. a specific value of the dependent variable for a given value of the independent variable. d. All of the above

b.) The strength of the relationship between the dependent and independent variables

The coefficient of correlation a. is the square of the coefficient of determination b. is the positive or negative square root of the coefficient of determination c. is the same as the r-square d. can never be negative e. none of the above

b.) is the positive or negative square root of the coefficient of determination

It is possible for the coefficient of determination to be a. larger than 1 b. less than one c. less than zero d. all of the above e. None of the above

b.) less than one

In regression analysis, the independent variable is a. used to predict other independent variables b. used to predict the dependent variable c. called the intervening variable d. none of the above

b.) used to predict the dependent variable

Simple linear regression is a statistical procedure: a. where one qualitative dependent variable and one quantitative independent variable are related b. one quantitative dependent variable and one or more quantitative independent variables are related c. one quantitative dependent variable and one quantitative independent variable are related d. One dependent variable and one independent variable are related

both c and d are correct

In regression analysis, if the dependent variable is measured in dollars, the independent variable a. must also be in dollars b. must be in some unit of currency c. can be any units d. cannot be in dollars

c.) can be any units

A procedure used for finding the equation of a straight line which provides the best approximation for the relationship between the independent and dependent variables is the

c.) least squares method

Regression analysis is a statistical procedure for developing a mathematical equation which describes how a. one independent variable and one or more dependent variables are related b. several independent and several dependent variables are related c. one dependent and one or more than one independent variables are related d. None of the above answers are correct

c.) one dependent and one or more than one independent variables are related

Using the above question the coefficient of correlation would be: a. .775 positive b. .775 negative c. .775 d. none of the above

d (we don't know if it is positive or negative)

Use the following information to answer questions 18-23 Below you are given a partial computer output based on a sample of 8 observations, relating an independent variable (x) and a dependent variable (y). Predictor Coefficients Std Dev Constant 13.251 10.77 X 0.803 0.385 ANOVA TABLE Source SS _______________________________________________________________ Regression Error 41.674 Total 71.875 The estimated regression equation is: a. Y = 13.351 + 0.803x b. Y = 13.351 - 0.803 c. Y = 41.674 + 71.875x d. None of the above

a.) Y = 13.351 + 0.803x

In regression analysis, the variable which is being predicted is the a. dependent variable b. independent variable c. intervening variable d. none of the answers

a.) dependent variable

A least squares regression line a. may be used to predict a value y if the corresponding x value is given b. implies a cause effect relationship between x and y c. can only be determined if a good linear relationship exists between x & y d. all of the above e. none of the above

a.) may be used to predict a value y if the corresponding x value is given

In regression and correlation analysis, if SSE and SST are known, then with this information a. the coefficient of determination can be computed b. the slope of the line can be computed c. the Y intercept can be computed d. all of the above can be computed e. none of the above

a.) the coefficient of determination can be computed

If two variables, x and y, have a good linear relationship, then a. there may or may not be any causal relationship between x and y b. x causes y c. y causes x d. none of the above

a.) there may or may not be any causal relationship between x and y

If there is strong correlation between two variables, then the coefficient of correlation must be: a. much larger than 1, if the correlation is positive b. much smaller than 1, if the correlation is negative c. Both a and b are correct answers d. none of the above

d.) none of the above