BA 322 Quiz 4

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In a regression analysis, if SSE = 200 and SSR = 300, then the coefficient of determination is _____.

.600

The correct relationship between SST, SSR, and SSE is given by _____.

SSR = SST - SSE

In regression analysis, which of the following is NOT a required assumption about the error term ε?

The values of the error term are dependent.

A regression analysis between sales (in $1000s) and price (in dollars) resulted in the following equation: = 50,000 − 8x

$1 in price is associated with a decrease of $8,000 in sales

Exhibit 15-5Below is a partial Excel output based on a sample of 25 observations. Coefficients Standard Error Intercept 145.321 48.682 x1 25.625 9.150 x2 -5.720 3.575 x3 0.823 0.183 ​ Refer to Exhibit 15-5. The estimated regression equation is _____. Group of answer choices

$1 in price is associated with a decrease of $8,000 in sales

Exhibit 15-5Below is a partial Excel output based on a sample of 25 observations. Coefficients Standard Error Intercept 145.321 48.682 x1 25.625 9.150 x2 -5.720 3.575 x3 0.823 0.183 ​ Refer to Exhibit 15-5. The interpretation of the coefficient onx1is that _____.

a one-unit change in x1 will lead to a 25.625-unit increase in y when all other variables are held constant

In simple linear regression, r2 is the _____.

coefficient of determination

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the _____.

coefficient of determination

Compared to the prediction interval estimate for a particular value of y (in a linear regression model), the confidence interval estimate for an average value of y will be _____.

narrower

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the _____.

observed values of the dependent variable and the predicted values of the dependent variable

Regression analysis is a statistical procedure for developing a mathematical equation that describes how _____.

one dependent and one or more independent variables are related

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

the least squares method

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that _____.

there is a positive correlation between x and y

A regression analysis between sales (y in $1000) and advertising (x in dollars) resulted in the following equation: = 50,000 + 6x ​ The above equation implies that an increase of _____.

$1 in advertising is associated with an increase of $6,000 in sales

If the correlation coefficient is .8, then the percentage of variation in the dependent variable explained by the estimated regression equation is _____.

64%

Exhibit 15-5Below is a partial Excel output based on a sample of 25 observations. Coefficients Standard Error Intercept 145.321 48.682 x1 25.625 9.150 x2 -5.720 3.575 x3 0.823 0.183

= 145.321 + 25.625x1 - 5.720x2 + 0.823x3

Exhibit 15-5Below is a partial Excel output based on a sample of 25 observations. Coefficients Standard Error Intercept 145.321 48.682 x1 25.625 9.150 x2 -5.720 3.575 x3 0.823 0.183 ​ Refer to Exhibit 15-5. The estimated regression equation is _____.

= 145.321 + 25.625x1 - 5.720x2 + 0.823x3

The interval estimate of the mean value of y for a given value of x is the _____.

confidence interval

A measure of the strength of the relationship between two variables is the _____.

correlation coefficient

In regression analysis, the response variable is the _____.

dependent variable

In regression analysis, the variable that is being predicted is the _____.

dependent variable

Exhibit 15-4 a.y = β0 + β1x1 + β2x2 + εb.E(y) = β0 + β1x1c. = b0 + b1 x1 + b2 x2d.E(y) = β0 + β1x1 + β2x2

equation c

A multiple regression model has the form ​ = 7 + 2 x1 + 9 x2 ​ As x1 increases by 1 unit (holding x2 constant), is expected to _____.

increase by 2 units

In a regression analysis, the variable that is used to predict the dependent variable _____.

is the independent variable

SSE can never be _____.

larger than SST

Larger values of r2 imply that the observations are more closely grouped about the _____.

least squares line

A least squares regression line _____.

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

A multiple regression model has _____.

more than one independent variable

If the correlation coefficient is a positive value, then the slope of the regression line _____.

must also be positive

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called _____.

regression model

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called _____.

residual

If there is a very strong negative correlation between two variables, then the correlation coefficient must be _____.

very close to -1

In regression analysis, the independent variable is typically plotted on the _____.

x-axis of a scatter diagram


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