Question

From a table of data for the number of people using a swimming pool over 8 days in summer and the corresponding maximum temperature (in degrees Celsius) on each day. Using the points (20, 280) and (38, 500) write the line of best fit equation.
A) y=12.2x + 280
B) y= 12.2x + 36
C) y= 0.08x +278.4
D) y= 12.2x + 20

Answer 1

The problem boils down to finding the equation of a straight line passing through two points, (20, 280) and (38,500).

Find the slope first. \(\Large Slope~m = \frac{y_2-y_1}{x_2-x_1}\)

Answer 2

The slope is 12.2?

Answer 3

Yes. The equation of a straight line in slope-intercept form is: y = mx + b
m = 12.2. y = 12.2x + b. It passes through (pick any one of the two points) (20,280).
Put x = 20 and y = 280 in y = 12.2x + b and solve for b.

Answer 4

Is the answer B) y= 12.2x + 36?

Answer 5

Yes.

Answer 6

Okay, thanks for all your help! :)

Answer 7

You are welcome. You did all the calculations yourself. Good job!

Answer 8

Thank you :D