The Law of Supply: The Law of Supply states that an increase in price will resul
ID: 3231729 • Letter: T
Question
The Law of Supply: The Law of Supply states that an increase in price will result in an increase in the quantity supplied (assuming all other factors remain unchanged). Below is the scatterplot, regression line, and corresponding statistics for Price (x) -vs- Quantity Supplied (y) data.
Answer the following questions regarding the relationship between price (x) and supply (y).
(a) What is the slope of the regression equation?
102.89
5.5
12
0.875
(b) With respect to the variables involved, choose the best interpretation of the slope of the regression equation.
For every extra unit supplied, you can expect the price to decrease by 102.89 dollars.
For every extra unit supplied, you can expect the price to increase by 102.89 dollars.
For every 1 dollar increase in price, you can expect the supply to increase by 102.89 units.
For every 1 dollar increase in price, you can expect the supply to decrease by 102.89 units.
Price -vs- Supply:
x = Price per item (in dollars)
y = Supply (Quantity Supplied)
correlation coefficient:
r = 0.875
regression equation:
= 102.89x 5.5
sample size:
n = 12
Explanation / Answer
a) The slope of regession equation = 102.89
Option A is correct.
b) Interpretation:
For every 1 dollar increase in price, you can expect the supply to increase by 102.89 units.
Option C is correct.
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