4. Suppose you obtain the following estimated regression model: Y₁ = 50.5 +2.05X₁ +5.25 X2 + 4.02 X3 + 0.35Income Y; represents seasonal gas sales in Los Angeles County (in millions of dollars). © All Rights Reserved X₁ = a dummy variable that is 1 if the season is spring and 0 otherwise X₂ = a dummy variable that is 1 if the season is summer and 0 otherwise X3 = a dummy variable that is 1 if the season is fall and 0 otherwise Income = the median family income (in 1,000 of dollars) in Los Angeles County. a) Verbally interpret the coefficient of X2. b) Which season is the base case? c) Numerically, in dollars, what will be the difference in sales between spring and fall?

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4. Suppose you obtain the following estimated regression model:
Y₁ = 50.5 +2.05X₁ +5.25 X2 + 4.02 X3 + 0.35Income
Y; represents seasonal gas sales in Los Angeles County (in millions of dollars).
© All Rights Reserved
X₁ = a dummy variable that is 1 if the season is spring and 0 otherwise
X₂ = a dummy variable that is 1 if the season is summer and 0 otherwise
X3 = a dummy variable that is 1 if the season is fall and 0 otherwise
Income = the median family income (in 1,000 of dollars) in Los Angeles County.
a) Verbally interpret the coefficient of X2.
b) Which season is the base case?
c) Numerically, in dollars, what will be the difference in sales between spring and fall?
Transcribed Image Text:4. Suppose you obtain the following estimated regression model: Y₁ = 50.5 +2.05X₁ +5.25 X2 + 4.02 X3 + 0.35Income Y; represents seasonal gas sales in Los Angeles County (in millions of dollars). © All Rights Reserved X₁ = a dummy variable that is 1 if the season is spring and 0 otherwise X₂ = a dummy variable that is 1 if the season is summer and 0 otherwise X3 = a dummy variable that is 1 if the season is fall and 0 otherwise Income = the median family income (in 1,000 of dollars) in Los Angeles County. a) Verbally interpret the coefficient of X2. b) Which season is the base case? c) Numerically, in dollars, what will be the difference in sales between spring and fall?
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