Question: 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

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 _____.

A) options:

there is a positive correlation between x and y

there is a negative correlation between x and y

if x is increased, y must decrease

None of the answers is correct.

B)

Regression analysis was applied between Price (in $1000s) and advertising (also in $1000s), and the following regression function was obtained.

= 100 + 5x

Based on the above estimated regression line, if advertising is $20,000, then the point estimate for price (in dollars) is _____.

B options:

$200,000

$105,000

$900,000

$200

C)

Regression analysis was applied between House Price(in $1000s) and square footage of the house, and the following regression function was obtained.

= 100 + 5x

The above equation implies that an increase of _____.

C options:

5 in square footage is associated with an increase of $1,000 in price

1 in square footage is associated with an increase of $5,000 in price

1 in square footage is associated with an increase of $56,000 in price

$1 in square footage is associated with an increase of $5,000 in price

D)

In simple linear regression, r2 is the _____.

D options:

estimated regression equation

coefficient of correlation

sum of the squared residuals

coefficient of determination

E)

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

E options:

average value of the independent variables

average value of the dependent variable

least squares line

origin

F)

In a regression analysis, if SSE = 500 and SSR = 300, then the coefficient of determination is _____.

F options:

.600

.166

1.666

.375

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