Question

use data in table to write an equation four your trend line:

apparent temperature due to humidity at a room temperature of 72 degrees F

Humidity 0/20/40/60/80/100

apparent 64/67/70/72/74/76
temperature

possible answer for equation to trend line


(y= mx + B)
possible answer: y = 2/15x + 64



help...i don;t get it...can you explain step by step....why a possibility is 2/15x( I do get that b is the y intercept )

Answer 1

if y=mx+b, then when x=0
y = b

so, from the table,
y = mx+64

Now for every 20 increase in x, y increases 3 or 2. So, the slope could be somewhere between

y = 3/20 x + 64, which would be a bit high
and
y = 2/20 x + 64, which would be a bit low

Now,
3/20 = 9/60
2/20 = 6/60
2/15 = 8/60

So, y = 2/15 x + 64 could model the table, approximately