Question

I NEED FAST HELP!!!!!!!!!!!!!!!!!!!

Answer 1

The student is expected to spend 15.4 hours doing homework

Explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

`\displaystyle y-b=(d-b)/(c-a)(x-a)`

Using the selected points

`\displaystyle y-4=(25-4)/(4-28)(x-28)`

Simplifying and computing results, the equation is

`\displaystyle y=-(7)/(8)x+(57)/(2)`

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

`\displaystyle y=-(7)/(8)(15)+(57)/(2)`=15.4 hours

So the student is expected to spend 15.4 hours doing homework