Homework Answers
In linear model, the term linear basically means that the model is being linear in parameters which in turn means that no parameter appears as an exponent or is multiplied or divided by some other parameter.
Considering simple linear regression model, it is a regression analysis between a response variable and a single covariate, the model can be stated as follows,
Yi = 0 +
1Xi
+
i
Here, 0
and
1 are
parameters which are known as regression coefficients.
1 is
the slope of the regression line which indicates the change in the
mean of the dependent variable per unit change in the independent
variable.
0 is
the Y intercept of the regression line which tells that if the
value of the independent variable that is Xi is 0, then the value
of the dependent variable is equal to
0
.
Considering multiple linear regression model, it is a regression analysis between a response variable and several covariates, the model can be stated as follows,
Yi = 0 +
1X1
+
2X2
+
i
Here, 0
,
1,
2
are parameters which are known as regression coefficients.
1 is
the slope of the regression line which indicates the change in the
mean of the dependent variable per unit change in the independent
variable X1 keeping X2 as
constant.
2 is
the slope of the regression line which indicates change in the mean
of the dependent variable per unit change in the independent
variable X2 keeping X1 as constant.
0 is
the Y intercept of the regression line which tells that if the
value of the independent variables that is X1 and
X2 are 0, then the value of the dependent
variable is equal to
0
.
So, in lineal models, the parameters represent the marginal impact of the independent variables.
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In the linear model the parameters ßi represent (a) the marginal impact of the dependent variable...
In the multiplicative model the parameters ßi represent (a) the elasticities (d) none of the answers...
In the multiplicative model the parameters ßi represent (a) the elasticities (d) none of the answers is correct
In the simple linear regression model, the ____________ accounts for the variability in the dependent variable...
In the simple linear regression model, the ____________ accounts for the variability in the dependent variable that cannot be explained by the linear relationship between the variables. a. constant term b. residual c. model parameter d. error term
i need help O Achange in profitability Question 12 1 pts In a linear regression, the...
i need help
O Achange in profitability Question 12 1 pts In a linear regression, the regression coefficients on the independent variables represent the marginal impact of a change in the independent variable upon the dependent variable, holding the values of all other independent variables constant () the marginal impact of a change in the independent variable upon the other independent variables, holding the value of the dependent variable constant O the marginal impact of a change in the independent...
An assumption of the simple linear regression model is... (a) (b) (c) (d) that only the...
An assumption of the simple linear regression model is... (a) (b) (c) (d) that only the dependent variable is random that only the independent variable is random that both the dependent and independent variables are random that dependent and independent variables are not random
A linear regression model found the following : Dependent variable : Quantity Independent variables : X1...
A linear regression model found the following : Dependent variable : Quantity Independent variables : X1 X2 coefficient constant. 10 price. -2 Income. 3 R^2 = 0.83 t = 2.36 a. write the demand function as an equation b. do the sign of the coefficients make sense ? why? c. if price = 10, Income = 24 what is the predicted quantity sold? d. find the point price elasticity at price =10, Income = 24
In the simple linear regression equation, (y a+ bx+ e), the a is the... O A....
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Model Assumptions: Question: • Assumption MLR.1 (Linear in the Parameters): The model in the population can...
Model Assumptions:
Question:
• Assumption MLR.1 (Linear in the Parameters): The model in the population can be written as y = Bo + B1X + ... + BkXk+u where Bo, B1, ..., Bk are the unknown parameters of interest and u unobserved random error. Assumption MLR.2 (Random Sampling): We have a random samp n observations, {(Xi1, X12, ..., Xik, Yi) : 1 = 1,2,...,n}, following the population model in Assumption MLR.1. Assumption MLR.3 (No Perfect Collinearity): In the sample, none...
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The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
In the multiplicative model the parameters ßi represent (a) the elasticities (d) none of the answers is correct
i need help
O Achange in profitability Question 12 1 pts In a linear regression, the regression coefficients on the independent variables represent the marginal impact of a change in the independent variable upon the dependent variable, holding the values of all other independent variables constant () the marginal impact of a change in the independent variable upon the other independent variables, holding the value of the dependent variable constant O the marginal impact of a change in the independent...
An assumption of the simple linear regression model is... (a) (b) (c) (d) that only the dependent variable is random that only the independent variable is random that both the dependent and independent variables are random that dependent and independent variables are not random
In the simple linear regression equation, (y a+ bx+ e), the a is the... O A. independent variable O B. slope of the fitted line C. dependent variable O D.y-intercept Reset Selection Question 2 of 5 1.0 Points In the simple linear regression equation, (y a+bx+ e) the y is the O A. independent variable O B. dependent variable O C. slope of the fitted line D. y-intercept Question 3 of 5 1.0 Points The R2 for a regression model...
Model Assumptions:
Question:
• Assumption MLR.1 (Linear in the Parameters): The model in the population can be written as y = Bo + B1X + ... + BkXk+u where Bo, B1, ..., Bk are the unknown parameters of interest and u unobserved random error. Assumption MLR.2 (Random Sampling): We have a random samp n observations, {(Xi1, X12, ..., Xik, Yi) : 1 = 1,2,...,n}, following the population model in Assumption MLR.1. Assumption MLR.3 (No Perfect Collinearity): In the sample, none...
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
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