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.
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...
Refer to this regression equation:
(standard errors in parentheses.)
Q = 8,400 - 10 P + 5 A + 4 Px + 0.05 I
(1,732) (2.29) (1.36) (1.75) (0.15)
R2 = 0.65
N = 120
F = 35.25
Standard error of estimate = 34.3
Q = Quantity demanded
P = Price = 1,000
A = Advertising expenditures, in thousands = 40
PX = price of competitor's good = 800
I = average monthly income = 4,000
1) Calculate the...