Question

the time spent watching tv, x, and the time spent doing homework, y, by each of 25 students last week. use the scatter plot to answer that you can use the graphing tools to help you approximate the line. (a) write an approximate equation of the line of best fit. round the coefficients to the nearest hundredth. y = (b) using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching tv. round your prediction to the nearest hundredth. hours

Explanation:

Step1: Assume the line of best - fit equation is in the form $y = mx + b$.

We can use two points on the approximated line of best - fit. Let's say we pick two points $(x_1,y_1)$ and $(x_2,y_2)$ from the scatter - plot. Calculate the slope $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: After getting the slope $m$, we can find the y - intercept $b$.

We can use one of the points $(x,y)$ on the line and substitute into the equation $y=mx + b$. Then $b=y - mx$.

Step3: For part (b), substitute $x = 12$ into the equation $y=mx + b$.

Calculate the value of $y$.

Answer:

(a) Without the actual scatter - plot data points to calculate, assume a general form after approximation: $y=-0.5x + 15$ (this is just an example, actual values depend on the scatter - plot).
(b) Substitute $x = 12$ into $y=-0.5x + 15$. Then $y=-0.5\times12 + 15=-6 + 15 = 9.00$ (using the example equation from part (a)).