You work for Segway, in the sales division of the One S1 (which is basically a m
ID: 1167299 • 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 (SS) and the price of the One S1 (P)P), both in dollars, as well as the daily average summer temperature in your most popular market (TT) in degrees Fahrenheit. You estimate the following regression model:
S=a+bP+cTS=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 negative and c is positive.
b. b is positive and c is positive.
c. b is negative and c is negative.
d. b is positive and c is negative.
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Your regression yields the following results:
Dep. Var.: S
Adj. R-square 0.759
Question 12
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The estimated coefficient for aa (intercept) suggests that
Select one:
a. If PP and TT are zero, we could still expect about $62,741 in sales per month.
b. aa cannot be interpreted with confidence since its parameter estimate is not statistically significant.
c. Sales will be $62,741 per month when PP and TT are at their optimal values.
d. Sales will range between $7,912 and $62,741 per month, but not outside those limits.
Question 13
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The estimated coefficient for bb (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. monthly sales will increase by $10.22 if the price of the One S1 decreases by $49.79.
c. when price is close to $49.79, then consumers will demand one more unit per month if price drops by $10.22.
d. a one-dollar increase in price is associated with an increase in monthly sales of 10.22 units.
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The estimated coefficient for cc (daily average summer temperature) suggests that
Select one:
a. temperature has a more important effect on our sales than does the price of our units, since c>bc>b.
b. a one-degree increase in temperature is associated with a $32.84 decrease in monthly sales.
c. a one-degree increase in temperature is associated with a $58.60 increase in price.
d. a one-degree increase in temperature is associated with a $32.84 increase in monthly sales.
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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
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What portion of the total variation in sales of the One S1 remains unexplained?
Select one:
a. 10.22%
b. 0.241, or 24.1%
c. 0.759, or 75.9%
d. 49.79%
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 0.59931Explanation / Answer
(11) (c)
The higher (lower) the price, the lower (higher) the quantity sold, and the higher (lower) the temperature, the lower (higher) the demand for cycles.
(12) (a)
The intercept is the value of dependent variable when the independent variables are equal to zero.
(13) (a)
Since the coefficient is negative, an increase (decrease) in price will decrease (increase) sales.
(14) (b)
Since the coefficient is negative, an increase (decrease) in temperature will decrease (increase) sales.
NOTE: As per Chegg Answering Policy, first 4 questions are answered.
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