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BUSA Test 2 Questions and Revised Answers (Verified Answers)

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BUSA Test 2 Questions and Revised Answers (Verified Answers) Regression analysis with one response variable and two or more explanatory variables or at least one non-linear explanatory variable. - Answer- multiple regression The range of feasible values for the coefficient of multiple determi...

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BUSA Test 2 Questions and Revised
Answers (Verified Answers)

Regression analysis with one response variable and two or more explanatory variables
or at least one non-linear explanatory variable. - Answer- multiple regression

The range of feasible values for the coefficient of multiple determination is from -
Answer- 0 to 1

How many response variables are used in multiple regression analysis? - Answer- one

Let's suppose we are predicting score on a training posttest from number of years of
education and the
score on an aptitude test given before training. Here is the regression equation: yˆ = 25+
0.5x1+ 10x2
where x1 is years of education and x2 is aptitude test score. What is the predicted score
for someone with 10 years of education and a aptitude test score of 5? - Answer- 80

What is the purpose of a multiple regression model? - Answer- To predict scores on a
response variable from scores on multiple explanatory variables

A coefficient which examines the association between a response variable and an
explanatory variable after factoring out the effect of other explanatory variables is known
as - Answer- A partial regression coefficient

R2 is used in regression analysis to - Answer- All of the above

In a multiple regression analysis involving k explanatory variables and n data points, the
number of
degrees of freedom for error is: - Answer- n − k − 1.

In a multiple regression model, the probability distribution of the prediction errors (or
residuals) is
assumed to be - Answer- normal

The multiple regression formulas used to estimate the regression coefficients seek
which of the following
conditions? - Answer- minimize SSE

, The number of residuals in a regression analysis is equal to which of the following? -
Answer- n

For a multiple regression model, SSR = 600 and SSE = 200. The coefficient of multiple
determination
is - Answer- 0.750

In a multiple regression analysis involving 15 explanatory variables and 200
observations, SSyy = 800
and SSE = 240. The coefficient of multiple determination is - Answer- 0.700

In regression analysis, the response variable is the - Answer- dependent variable

The coefficient of multiple determination is - Answer- SSR/SSyy

A multiple regression model has the form: yˆ = 7 + 2x1 + 9x2. As x1 increases by 1 unit
(holding x2
constant), y is expected to - Answer- increase by 2 units

Linear regression is about relationships, and multiple regression is about relationships. -
Answer- univariate; multivariate

In multiple regression analysis, there are multiple explanatory variables and a single
response variable - Answer- true

The multiple regression equation is that y (predicted) equals a constant (the intercept)
+b1x1+b2x2+
. . . + bkxk, where k is the number of explanatory variables. - Answer- true

In multiple regression analysis, the observed value of F-statistic is equal to - Answer-
MSR/MSE

In testing the existence of a relationship between y and an explanatory variable in a
multiple regression
model, if the p-value is 0.00001 and α = 0.05, then the null hypothesis is rejected. -
Answer- true

A multiple regression model has - Answer- more than one explanatory variable

A measure of goodness of fit for the estimated regression equation is the - Answer-
coefficients of multiple determination

The correct relationship between SSyy, SSR and SSE is given by - Answer-
SSE=SSyy-SSR

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