Question

Need Help on Both of these, Will give 50 Points to answerer:

Part A:
After grading the most recent chapter test, a science teacher asks twelve of his 10th-grade summer school students how long they studied for the test. Their answers, as well as their corresponding test grades, were recorded on a table and placed on a scatter plot.


(Scatter plot values: 0,25 1,53 2,50 2,80 3,58 4,92 6,74 6,89 8,100 10,60 10,90 12,100)


Use the line of best fit shown (not provided) in the scatter plot to make a conjecture about the number of hours studied versus the resulting test grade. Answer in complete sentences.

Part B: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.

Answer 1

Part A: Scatter plot with best-fit line attached. You'll find the line to have equation (approximately)

`y=51.34+3.98x`

The positive slope suggests that test scores and study time are directly are proportional.

Part B: Same as in a previous question you had posted. Pick two points on the provided line and compute the slope as best you can. For example, I might pick (2, 30) and (4, 40), which gives a slope of

`(40-30)/(4-2)=5`

and assuming the line passes through (2, 30) exactly, it would have equation

`y-2=5(x-30)\implies y=5x-148`