Should the intercept be interpreted in this case?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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17

A study on the sales (Y=no. of units sold) and the price (X, in pesos) showed the following result:
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.7727
0.5971
0.870626578
Standard Error
1.086529053
Observations
20
ANOVA
Significance F
1 152.1271 152.1271 128.8617 1.2273E-09
df
SS
MS
F
Regression
Residual
18 21.24982 1.180545
Total
19 173.3769
Coefficients
SE
t Stat
P-value Lower 95% L
Intercept
2259 1.593473 46.61723 3.17E-20 70.9355509
Price
-1418 1.316758 11.35173 1.23E-09 12.1810733
Should the intercept be interpreted in this case?
O Yes, as the average price when no units are sold.
O No, since sales of zero units are probably out of the range observed.
O No, since a price of zero pesos is probably out of the range observed.
O Yes, as the average sales when the price is zero pesos.
Transcribed Image Text:A study on the sales (Y=no. of units sold) and the price (X, in pesos) showed the following result: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.7727 0.5971 0.870626578 Standard Error 1.086529053 Observations 20 ANOVA Significance F 1 152.1271 152.1271 128.8617 1.2273E-09 df SS MS F Regression Residual 18 21.24982 1.180545 Total 19 173.3769 Coefficients SE t Stat P-value Lower 95% L Intercept 2259 1.593473 46.61723 3.17E-20 70.9355509 Price -1418 1.316758 11.35173 1.23E-09 12.1810733 Should the intercept be interpreted in this case? O Yes, as the average price when no units are sold. O No, since sales of zero units are probably out of the range observed. O No, since a price of zero pesos is probably out of the range observed. O Yes, as the average sales when the price is zero pesos.
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