Question

the equation for the line of best fit is $y = 0.4x + 60$. according to the equation, which of these statements is true? dan can expect to score about 60% if he does not spend any time studying. if dan studies for 60 minutes, he will score about 100%.

Explanation:

Step1: Analyze the first statement

The equation of the line is \(y = 0.4x+60\), where \(y\) is the quiz score (\(\%\)) and \(x\) is the study time (minutes). When \(x = 0\) (no study time), substitute \(x = 0\) into the equation: \(y=0.4\times0 + 60=60\).

Step2: Analyze the second statement

When \(x = 60\) (study time is 60 minutes), substitute \(x = 60\) into the equation: \(y=0.4\times60+60=24 + 60=84
eq100\).

Answer:

Dan can expect to score about \(60\%\) if he does not spend any time studying.