AND THEIR ANSWERS
Following is a portion of the computer output for a regression
analysis relating y = number of people who use the public pool
to x = the outside temperature.
Predictor Coef
Constant 57.912
Temp 0.81138
Predict approximately how many people will use the public
pool in a day when the temperature is 90 degrees?
y = 57.912 + .81138 (90) = 131
An F test, based on the F probability distribution, can be used
to test for?
Significance in regression
The following data show the results of an aptitude test and
the grade point average of 10 students.
If GPA and Aptitude Test Scores are linearly related, which of
the following must be true?
β1 ≠ 0
-only if x and y are linearly related
,The value of the coefficient of correlation (r)?
can be equal to the value of the coefficient of determination
(r2)
The tests of significance in regression analysis are based on
assumptions about the error term ɛ. One such assumption is
that the values of ɛ are?
Independent
In regression analysis, the equation in the form y = 𝛽0 + 𝛽1x +
ε is called the?
Regression Model
If a residual plot of x versus the residuals, y - ŷ, shows a non-
linear pattern, then we should conclude that?
The regression model is not an adequate representation of the
relationship between the variables
In a regression analysis, if SSE = 200 and SSR = 300, then the
coefficient of determination is?
r2 = SSR/(SSE + SSR)
= 300/(200 + 300) = .6
The following data represent a company's yearly sales volume
and its advertising expenditure over a period of 8 years.
Use the least squares method to develop the estimated
regression equation.
, y= -10.42 +.79x
The tests of significance in regression analysis are based on
several assumptions about the error term ɛ. Additionally, we
make an assumption about the form of the relationship
between x and y. We assume that the relationship between x
and y is?
Linear
The difference between the observed value of the dependent
variable and the value predicted using the estimated
regression equation is called a(n)?
Residual
Suppose a residual plot of x verses the residuals, y - ŷ, shows a
nonconstant variance. In particular, as the values of x increase,
suppose that the values of the residuals also increase. This
means that?
As the values of x get larger, the ability to predict y becomes
less accurate
The coefficient of determination?
Cannot be negative
When studying the relationship between two quantitative
variables, an interval estimate of the mean value of y for a
given value of x is called a(n)?
Confidence Interval