A market trader sells ball-point pens at his stall. He sells the pens for a different fixed price, x Kwacha, in each of six weeks. He notes the number of pens, y, that he sells in each of these six weeks. The results are shown in the following table: X y Week 1 10 68 Week 2 15 60 Week 3 20 55 Week 4 25 48 Week 5 30 38 Week 6 35 32 The trader would like to determine whether a relationship exists between x and y and therefore decides to run an OLS regression. a) Specify the estimation model you will use (the econometric form). b) Use an econometric package of your choice (EViews, SPSS, STATA etc) to estimate the model and report the coefficients, standard errors, t-statistics, probability and R-squared (report the results in a table). c) Re-write the specified model in (a) with values from the regression results and interpret the coefficients. d) Interpret the value of the R-squared obtained.

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A market trader sells ball-point pens at his stall. He sells the pens for a different fixed
price, x Kwacha, in each of six weeks. He notes the number of pens, y, that he sells in
each of these six weeks. The results are shown in the following table:
X
y
Week 1
10
68
Week 2
15
60
Week 3
20
55
Week 4
25
48
Week 5
30
38
Week 6
35
32
The trader would like to determine whether a relationship exists between x and y and
therefore decides to run an OLS regression.
a) Specify the estimation model you will use (the econometric form).
b) Use an econometric package of your choice (EViews, SPSS, STATA etc) to
estimate the model and report the coefficients, standard errors, t-statistics,
probability and R-squared (report the results in a table).
c) Re-write the specified model in (a) with values from the regression results and
interpret the coefficients.
d) Interpret the value of the R-squared obtained.
Transcribed Image Text:A market trader sells ball-point pens at his stall. He sells the pens for a different fixed price, x Kwacha, in each of six weeks. He notes the number of pens, y, that he sells in each of these six weeks. The results are shown in the following table: X y Week 1 10 68 Week 2 15 60 Week 3 20 55 Week 4 25 48 Week 5 30 38 Week 6 35 32 The trader would like to determine whether a relationship exists between x and y and therefore decides to run an OLS regression. a) Specify the estimation model you will use (the econometric form). b) Use an econometric package of your choice (EViews, SPSS, STATA etc) to estimate the model and report the coefficients, standard errors, t-statistics, probability and R-squared (report the results in a table). c) Re-write the specified model in (a) with values from the regression results and interpret the coefficients. d) Interpret the value of the R-squared obtained.
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