After analyzing ticket sales and profits for several movie theaters, Carlos creates a model in the form $$p = m \cdot t +b$$, where $$t$$ is the ticket sales and $$p$$ is the total profit. What is a likely interpretation for the factor $$m$$?

Flashcard 11 - Mathematics: Probabilistic and Statistical Reasoning Flashcard Set for the TSIA2

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the price per ticket

Explanation:

In linear models, the factor $m$ represents a slope, or (in this case) a change in $p$ per change in $t$. Each ticket sale increases the profits by an amount determined by the price of the ticket.

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