Question

The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. The table is provided to help you organize your work, but it does not need to be entered into Canvas and will not be graded. Find the answers to the questions given and enter them into Canvas. Most will be graded automatically, but for some you will need to wait for me to grade them manually. Obser- vation GPA Salary index $x$ $y$ $(ar{x} - x)$ $(ar{y} - y)$ $(ar{x} - x)^2$ $(ar{y} - y)^2$ $(ar{x} - x)(ar{y} - y)$ 1 2.6 3300 2 3.4 3600 3 3.6 4000 4 3.2 3500 5 3.5 3900 6 2.9 3600 Totals SSR SSE TSS 1. Calculate $\bar{x}$. 2. Calculate $\bar{y}$. 3. Use the least squares method to develop the estimated regression equation. Use two decimal points in your answers for b and $b_1$. Type the answer as a formula with two decimal places in each number. $\hat{y} = $ 4. Calculate the value of $\hat{y}_1$. 5. Calculate the value of $\hat{y}_2$. 6. Calculate the value of $\hat{y}_3$. 7. Calculate the value of $\hat{y}_4$. 8. Calculate the value of $\hat{y}_5$. 9. Calculate the value of $\hat{y}_6$. 10. Compute the Sum of Squares Due to Regression, known as SSR.

          The following data are the monthly salaries y and the grade point averages x
for students who obtained a bachelor's degree in business administration.
The table is provided to help you organize your work, but it does not need to
be entered into Canvas and will not be graded.
Find the answers to the questions given and enter them into Canvas. Most
will be graded automatically, but for some you will need to wait for me to
grade them manually.
Obser-
vation
GPA Salary
index
$x$
$y$
$(ar{x} - x)$
$(ar{y} - y)$
$(ar{x} - x)^2$
$(ar{y} - y)^2$
$(ar{x} - x)(ar{y} - y)$
1
2.6
3300
2
3.4
3600
3
3.6
4000
4
3.2
3500
5
3.5
3900
6
2.9
3600
Totals
SSR
SSE
TSS
1. Calculate $\bar{x}$.
2. Calculate $\bar{y}$.
3. Use the least squares method to develop the estimated regression equation. Use
two decimal points in your answers for b and $b_1$. Type the answer as a formula
with two decimal places in each number.
$\hat{y} = $
4. Calculate the value of $\hat{y}_1$.
5. Calculate the value of $\hat{y}_2$.
6. Calculate the value of $\hat{y}_3$.
7. Calculate the value of $\hat{y}_4$.
8. Calculate the value of $\hat{y}_5$.
9. Calculate the value of $\hat{y}_6$.
10. Compute the Sum of Squares Due to Regression, known as SSR.

The following data are the monthly salaries y and the grade point averages x
for students who obtained a bachelor's degree in business administration.
The table is provided to help you organize your work, but it does not need to
be entered into Canvas and will not be graded.
Find the answers to the questions given and enter them into Canvas. Most
will be graded automatically, but for some you will need to wait for me to
grade them manually.
Obser-
vation
GPA Salary
index
x
y
(arx - x)
(ary - y)
(arx - x)^2
(ary - y)^2
(arx - x)(ary - y)
1
2.6
3300
2
3.4
3600
3
3.6
4000
4
3.2
3500
5
3.5
3900
6
2.9
3600
Totals
SSR
SSE
TSS
1. Calculate x̅.
2. Calculate y̅.
3. Use the least squares method to develop the estimated regression equation. Use
two decimal points in your answers for b and b1. Type the answer as a formula
with two decimal places in each number.
ŷ =
4. Calculate the value of ŷ1.
5. Calculate the value of ŷ2.
6. Calculate the value of ŷ3.
7. Calculate the value of ŷ4.
8. Calculate the value of ŷ5.
9. Calculate the value of ŷ6.
10. Compute the Sum of Squares Due to Regression, known as SSR.

Added by Brian Z.

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