You work for Segway, in the sales division of the One S1 (which is basically a m
ID: 1164478 • Letter: Y
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You work for Segway, in the sales division of the One S1 (which is basically a motorized unicycle without the seat). You’ve collected data on monthly sales (S) and the price of the One S1 (P), both in dollars, as well as the daily average summer temperature in your most popular market (T) in degrees Fahrenheit. You estimate the following regression model:
S=a+bP+cT
In your regressions, you usually look for a 10%-or-better level of confidence.
Question 11
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The expected sign of
Select one:
a. b is positive and c is negative.
b. b is positive and c is positive.
c. b is negative and c is negative.
d. b is negative and c is positive.
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Your regression yields the following results:
Dep. Var.: S
Adj. R-square 0.759
Variable
Coefficient
Standard Error
t-stat
P-value
Intercept
62741
7912
7.930
0.00051
P
-49.79
10.22
-4.872
0.00459
T
-32.84
58.60
-0.561
0.59931
Question 12
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The estimated coefficient for a (intercept) suggests that
Select one:
a. Sales will be $62,741 per month when P and Tare at their optimal values.
b. If P and T are zero, we could still expect about $62,741 in sales per month.
c. Sales will range between $7,912 and $62,741 per month, but not outside those limits.
d. a cannot be interpreted with confidence since its parameter estimate is not statistically significant.
Question 13
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The estimated coefficient for b (price of the One S1) suggests that
Select one:
a. a $1 increase in the price of the One S1 is associated with a decrease of monthly sales of $49.79.
b. when price is close to $49.79, then consumers will demand one more unit per month if price drops by $10.22.
c. monthly sales will increase by $10.22 if the price of the One S1 decreases by $49.79.
d. a one-dollar increase in price is associated with an increase in monthly sales of 10.22 units.
Question 14
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The estimated coefficient for c (daily average summer temperature) suggests that
Select one:
a. a one-degree increase in temperature is associated with a $32.84 increase in monthly sales.
b. temperature has a more important effect on our sales than does the price of our units, since c>b.
c. a one-degree increase in temperature is associated with a $32.84 decrease in monthly sales.
d. a one-degree increase in temperature is associated with a $58.60 increase in price.
Question 15
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The price of the One S1 has a statistically significant effect on our sales.
Select one:
True
False
Question 16
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Daily average summer temperature affects the sales of the One S1 in a statistically significant way.
Select one:
True
False
Question 17
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What portion of the total variation in sales of the One S1 remains unexplained?
Select one:
a. 0.759, or 75.9%
b. 10.22%
c. 49.79%
d. 0.241, or 24.1%
Question 18
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Segway is considering selling the One S1 in a new city, where the average daily summer temperature is 75°, for a price of $580. What level of sales would you expect in this new city (rounded to the nearest dollar)?
Answer:
Variable
Coefficient
Standard Error
t-stat
P-value
Intercept
62741
7912
7.930
0.00051
P
-49.79
10.22
-4.872
0.00459
T
-32.84
58.60
-0.561
0.59931
Explanation / Answer
11. The correct answer is: c)
Reason: both price and temperature owes to be inversely related to monthly sales.
12. The correct answer is: b)
Reason: intercept of a regression equation basically tells the average value of dependent variable when all the independent variables are zero.
13. The correct answer is: a).
Reason: estimated coefficient for b is nothing but the change in monthly sales due to one unit change in price.
14. The correct answer is: c)
Reason: same as in 13. As temperature increases by one unit, the monthly sales falls by 32. 84 units as the coefficient is negative.
P.S.: As per Chegg's policy, if nothing is mentioned then only the first four questions needs to be answered.
Thanks!
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