dan wondered if he could improve his math grade by spending more time studying. throughout the next unit, he…

dan wondered if he could improve his math grade by spending more time studying. throughout the next unit, he kept track of the amount of time he spent studying and his scores on the weekly quizzes. then, he created a scatter plot and drew the line of best fit. performance on math quizzes the equation for the line of best fit is y = 0.4x + 60. according to the equation, which of these statements is true? if dan studies for 60 minutes, he will score about 100%. dan can expect to score about 60% if he does not spend any time studying.

dan wondered if he could improve his math grade by spending more time studying. throughout the next unit, he kept track of the amount of time he spent studying and his scores on the weekly quizzes. then, he created a scatter plot and drew the line of best fit. performance on math quizzes the equation for the line of best fit is y = 0.4x + 60. according to the equation, which of these statements is true? if dan studies for 60 minutes, he will score about 100%. dan can expect to score about 60% if he does not spend any time studying.

Answer

Explanation:

Step1: Analyze the y - intercept

The equation of the line of best fit is $y = 0.4x+60$, where the y - intercept is 60. When $x = 0$ (no study time), substituting $x = 0$ into the equation gives $y=0.4\times0 + 60=60$.

Step2: Analyze the first statement

When $x = 60$ (60 minutes of study time), substitute into the equation: $y=0.4\times60 + 60=24 + 60=84\neq100$.

Answer:

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