Question

20 POINTS PLZ HELP

Jack is doing an experiment to find the rate of water flow from a tap. He collects the water in a tub and records the height of the water level every five minutes. He then plots the data on a scatter plot. Which equation represents the line of best fit for Jack’s scatter plot?

A. y=14/45x
B. y=45x+15
C. y=45/14x
D. y=14x+45

Answer 1

The correct option is C.

Explanation:

If a line passing through two point then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

From the given graph it is clear that the line of best fit passing through the points (0,0) and (14,45). So, the equation of line of best fit is

`y-0=(45-0)/(14-0)(x-0)`

`y=(45)/(14)x`

The equation of line of best fit is
`y=(45)/(14)x`, therefore the correct option is C.