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§ Regression Analysis§
Assignment
Exercise 1 Suppose the quantity sold of a good (Y) is measured against price (X) of the good sold during various weeks. Eight weeks were randomly selected over a one year of time frame. The following statistics were gathered:
Given:
x |
y |
|||
|
4.00 |
9 |
||
|
3.50 |
15 |
||
|
3.00 |
19 |
||
|
2.50 |
27 |
||
|
2.00 |
31 |
||
|
1.50 |
33 |
||
|
1.00 |
39 |
||
|
0.50 |
41 |
||
Sx = 18 |
Sy =
214
|
Sxy
= 384
|
||
Sx2
= 51
|
Sy2
= 6648
|
n = 8 |
A. Calculate the least squares regression equation using Excel and using the sums given above. What is the interpretation of b0 and b1?
B. Do an hypothesis test for a negative relationship between the price and the quantity sold using Excel. Assume a 5% level of significance. State the hypotheses and describe how you reach your conclusion. (click me)
Exercise 2 Suppose the quantity produced of a good (Y) is measured against price (X) of the good during various weeks. Eight weeks were randomly selected over a one year of time frame. The following statistics were gathered:
Given:
|
x |
y |
|
4.00 |
40 |
|
3.50 |
38 |
|
3.00 |
32 |
|
2.50 |
29 |
|
2.00 |
24 |
|
1.50 |
18 |
|
1.00 |
16 |
|
0.50 |
10 |
SCPxy = 91.75
SSx = 10.5
SSy = 808.875
A. Calculate the least squares regression equation using Excel and using the sums of squares given above. What is the interpretation of b0 and b1?
B. Do an hypothesis test for a positive relationship between the price and the quantity sold using Excel. Assume a 5% level of significance. State the hypotheses and describe how you reach your conclusion.