Question
In: Math
6. In the simple linear regression model, the y-intercept represents the: a. change in y per...
6. In the simple linear regression model, the y-intercept represents the:
a. change in y per unit change in x.
b. change in x per unit change in y.
c. value of y when x=0.
d. value of x when y=0
7. In the simple linear regression model, the slope represents the:
a. value of y when x=0.
b. average change in y per unit change in x.
c. value of x when y=0.
d. average change in x per unit change in y.
8. In regression analysis, the residuals represent the:
a. difference between the actual y values and their predicted values.
b. difference between the actual x values and their predicted values.
c. square root of the slope of the regression line.
d. change in y per unit change in x.
9. The least squares method for determining the best fit minimizes:
a. total variation in the dependent variable
b. sum of squares for error
c. sum of squares for regression
d. All of these choices are true.
10. A regression analysis between sales (in $1000) and advertising (in $ 100 ) resulted in the following least squares line: y=75+6 x. This implies that if advertising is $ 800, then the predicted amount of sales (in dollars) is:
a. $ 4875
b. $ 123,000
c. $ 487,500
d. $ 12,300
Solutions
milcah answered 2 years agoRelated Solutions
simple linear regression proof of variance of intercept estiamtor β0
simple linear regression proof of variance of intercept estiamtor
β0
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and...
You are developing a simple linear regression analysis model.
The simple correlation coefficient between y and x is -0.72. What
do you know must be true about b1. The least squares estimator of
B1? Why?
In a multiple linear regression analysis with k = 3. From the t
test associated with B1, you conclude that B1 = 0. When you do the
f test will you reject or fail to reject the null hypothesis?
Why?
In a simple bilinear regression...
Use Excel to estimate a simple linear regression model for the following data (Y is a...
Use Excel to estimate a simple linear regression model for the
following data (Y is a dependent variable and X is an independent
variable):
Y
X
0
-2
0
-1
1
0
1
1
3
2
Fill in Multiple Blanks:
What is the slope of the estimated line? In your
answer, show one (1) digit to the right of the
decimal point, for example, 1.0, 1.2. Apply the appropriate
rounding rule if necessary.
What is the Y-intercept?
True or False, The y-intercept in the linear regression equation describes the average outcome of y...
True or False, The y-intercept in the linear regression equation
describes the average outcome of y when x = 1.
True or false, The slope in the linear regression equation
describes the estimated difference in the y-variable if the
explanatory variable x for a case happened to be one unit
larger.
True or false, If the 95% confidence interval for the population
slope is given by 0.22 to 0.33, then the sample slope is 0.275. As
one increases the sample...
How are the slope and intercept of a simple linear regression line calculated? What do they...
How are the slope and intercept of a simple linear regression
line calculated? What do they tell us about the relationship
between the two variables? Give example of problem.
How are the slope and intercept of a simple linear regression line calculated? What do they...
How are the slope and intercept of a simple linear regression
line calculated? What do they tell us about the relationship
between the two variables? Also, give an example.
Question 4 A simple linear regression model was used in order to predict y, duration of...
Question 4
A simple linear regression model was used in order to predict
y, duration of relief from allergy, from x,
dosage of medication. A total of n=10 subjects were given
varying doses, and their recovery times noted. Here is the R
output.
summary(lmod4)
##
## Call:
## lm(formula = y ~ x)
##
## Residuals:
## Min 1Q
Median 3Q
Max
## -3.6180 -1.9901 -0.4798 2.2048 3.7385
##
## Coefficients:
##
Estimate Std. Error t value Pr(>|t|)
## (Intercept)...
When we estimate a linear multiple regression model (including a linear simple regression model), it appears...
When we estimate a linear multiple regression model (including a
linear simple regression model), it appears that the calculation of
the coefficient of determination, R2, for this model can be
accomplished by using the squared sample correlation coefficient
between the original values and the predicted values of the
dependent variable of this model.
Is this statement true? If yes, why? If not, why not? Please use
either matrix algebra or algebra to support your reasoning.
Discuss the underlying assumptions of a simple linear regression model; multiple regression model; and polynomial regression.
Discuss the underlying assumptions of a simple linear regression
model; multiple regression model; and polynomial regression.
Why does the intercept estimator in simple linear regression follow a normal distribution. Justify this by...
Why does the intercept estimator in simple linear regression
follow a normal distribution. Justify this by using the appropriate
assumptions of simple linear regression.
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