Question

carloss math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. based on the line of best fit, what quiz score should someone who studied 6 hours expect?

Explanation:

Step1: Find the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using two points on the line of best - fit, say $(0,56)$ and $(1,62)$. Then $m=\frac{62 - 56}{1-0}=6$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the point $(0,56)$, $b = 56$.

Step3: Write the equation of the line

The equation of a line is $y=mx + b$. Substituting $m = 6$ and $b = 56$, we get $y=6x+56$.

Step4: Make a prediction

Substitute $x = 6$ into the equation $y=6x + 56$. Then $y=6\times6+56=36 + 56=92$.

Answer:

92