Question
In: Statistics and Probability
a) A sample of 8 observations collected in a regression study on two variables, x(independent variable)...
a) A sample of 8 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.
SSR=66, SST=86
Calculate an unbiased estimate of the variance of the error term epsilon.
b) A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.
SSE=22, SSR=64
Calculate the coefficient of determination for the developed estimated regression equation.
c) A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.
SSR=76, SST=83, summation (x_i-xbar)2=25, summation (x_i-xbar)(y_i-ybar)=49.
Calculate the t test statistics to determine whether a statistically linear relationship exists between x and y.
d)
A sample of 8 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.
SSR=73, SST=86
Calculate the F test statistics to determine whether a statistically linear relationship exists between x and y.
Solutions
orchestra answered 1 year agoRelated Solutions
A) A sample of 13 observations collected in a regression study on two variables, x(independent variable)...
A) A sample of 13 observations collected in a regression study
on two variables, x(independent variable) and y(dependent
variable). The sample resulted in the following data.
summation (x_i-xbar)2=14, summation
(x_i-xbar)(y_i-ybar)=72, xbar=3, ybar=10
Calculate the y-intercept (b_0) of the estimated regression
equation.
B) A sample of 9 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
summation (x_i-xbar)2=14, summation
(x_i-xbar)(y_i-ybar)=79, xbar=3, ybar=10
Calculate the slope of the estimated regression equation.
Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression
study on two variables, x (independent variable) and y (dependent
variable)
X
Y
2
12
3
9
6
8
7
7
8
6
7
5
9
2
a. develop the least squares estimated regression equation
b. At 95% confidence, perform a t test
and determine whether or not the slope is significantly different
from 0
c.Compute the coefficient of determination
d. Develop the 95% confidence interval for the mean value of...
Given below are seven observations collected in a regression study on two variables, X (independent variable)...
Given below are seven observations collected in a regression
study on two variables, X (independent variable) and Y (dependent
variable).
X
Y
2
12
3
9
6
8
7
7
8
6
7
5
9
2
a. Develop the least squares estimated regression equation.
b. State the hypotheses to test for the significance of the
regression line.
c. Perform an F test to determine whether or not the model is
significant. Let α = 0.05.
Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression
study on two variables, x (independent variable) and y (dependent
variable). x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 Given the followings b1
= -1.13 SSR = 50.625 SSE= 9.376 Sb1 = .2165 a. At 95% confidence,
perform a t test and determine whether or not the slope is
significantly different from zero. (No excel please show steps
thank you)
3.) Given are five observations collected in a regression study on two variables. 2 6 9...
3.) Given are five observations collected in a regression study
on two variables.
2
6
9
13
20
7
18
9
26
23
Develop a scatter diagram for these data.
Develop the estimated regression equation for these data.
Use the estimated regression equation to predict the value of
y when x=6
17.) The data from exercise 3 follow.
2
6
9
13
20
7
18
9
26
23
The estimated regression equation for these data is . What
percentage of...
Given are five observations collected in a regression study on two variables. xi 2 6 9...
Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
8
26
21
(a)
Develop the estimated regression equation for these data.
ŷ =
Use the estimated regression equation to predict the value of
y when
x = 20.
In a multi linear regression case study, the dependent variable is house_value, the independent variables are...
In a multi linear regression case study, the dependent variable
is house_value, the independent variables are house_age,
crime_rate, tax_rate, trying to build a model to predict the house
value, how to state model assumptions? What's the assumption in
this case? Thanks!
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two
independent variables and 65 observations is:
yhat = 55.17+1.1X1 -0.153X2
Other statistics produced for analysis include: SSR = 12370.8, SST
= 35963.0, Sb1 = 0.33, Sb2 = 0.20.
(16 points)
Interpret b1 and b2 in this estimated
regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and use...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two
independent variables and 65 observations is:
yhat = 55.17+1.1X1 -0.153X2
Other statistics produced for analysis include: SSR = 12370.8, SST
= 35963.0, Sb1 = 0.33, Sb2 = 0.20.
(16 points)
Interpret b1 and b2 in this estimated
regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and use...
The estimated regression equation for a model involving two independent variables and 65 observations is: yhat...
The estimated regression equation for a model involving two
independent
variables and 65
observations is: yhat = 55.17+1.2X1 -0.163X2
Other statistics
produced for analysis include: SSR = 12370.8, SST = 35963.0, Sb1 =
0.33, Sb2 = 0.20. (16 points)
Interpret b1 and b2 in this estimated regression equation
Predict y when X1 = 65 and X2 = 70.
Compute R-square and Adjusted R-Square.
Comment on the goodness of fit of the model.
Compute MSR and MSE.
Compute F and...
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