Question

question 2 - 5
constructed response: work and answer will be scored with the 3 - point cer rubric.
the linear regression equation ( y = 4.2x+120,000 ) models the relationship between the amount of money ( x ) a company spends on advertising, in dollars, and their revenue ( y ), also in dollars.
what is the rate of change in the regression equation ( y = 4.2x + 120,000 )? explain the meaning of this number.

Explanation:

The linear regression equation is in the form \(y = mx + b\), where \(m\) is the slope (rate of change). In the equation \(y = 4.2x+120000\), the value of \(m\) is \(4.2\). The slope represents the change in \(y\) (revenue) for a unit change in \(x\) (advertising expenditure). So, for every additional dollar spent on advertising (\(x\) increases by \(1\)), the revenue (\(y\)) increases by \(4.2\) dollars.

Answer:

The rate of change is \(4.2\). It means that for each additional dollar the company spends on advertising, its revenue increases by \(4.2\) dollars.