A) What are the Gauss Markov assumptions for the error term in a
regression framework? Using , prove that the OLS estimator for
vector beta is unbiased.
B) Derive the formula for the Variance of the estimated OLS
regression coefficients.
For each exercise, find the equation of the regression line
and find the y’ value for the specified x value. Remember that no
regression should be done when r is not significant.
27.Class
Size and Grades School administrators wondered whether
class size and grade achievement (in percent) were related. A
random sample of classes revealed the following data.
No. of students
15
10
8
20
18
6
Avg. grade (%)
85
90
82
80
84
92
Find y′
when x...
Create a scatter plot. What does it indicate?
What is the
regression equation?
Is the
equation significant? How do you know?
What is the
estimate for Period 13?
What is the
r2 and what does it signify?
Period
Sales
1
12
2
13
3
12
4
14
5
13
6
15
7
16
8
14
9
17
10
15
11
17
12
18
(a) What does the term population inversion
refer to with respect to a laser and (b) why is
population inversion required for light amplification to occur?
Q1. Write down the equation of the regression straight line (the least-squares line)
Q2. For an increase of 1 mg of fertiliser applied, what is the average change in the wet weight of maize plants?
Q3. How are the two variables associated with each other? (Answer in 1 or 2 sentences)Q4. Determine the average weight of plants grown with 100mg of fertiliser applied. (round up your answer to 2 decimal places)Q5. Determine the average weight of plants grown with...