SOLUTION: I can not figure this problem out can someone help pls Natalie performs a chemistry experiment where she records the temperature of an ongoing reaction. The solution is 93.5º C

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Question 994534: I can not figure this problem out can someone help pls
Natalie performs a chemistry experiment where she records the temperature of an ongoing reaction. The solution is 93.5º C after 3 minutes; 90º C after 5 minutes, 84.8 C after 9 minutes; 70.2º C after 18 minute; 54.4º C after 30 minutes; 42.5ºC after 37 minutes; and 24.9º C after 48 minutes. Perform a linear regression on this data to complete the following items.
Write the equation of the best-fitting line.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
plot your points, let time be x and temperature y
xmin|yº
3min|93.5º
5min|90º
9min|84.8º
18min|70.2º
30min|54.4º
37min|42.5º
48min|24.8º




To calculate the slope, pick two points on the line, and calculate the slope as:
slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++(your slope should have a negative value).
The equation of the line is then
y+=+slope+%2Ax+%2B+b where b=y-intercept
I would pick these two points on the line:
(9min,84.8)
(48min,24.8)
slope=%28y%5B2%5D-y%5B1%5D%29+%2F+%28x%5B2%5D-x%5B1%5D%29++
slope=%2824.8-84.8%29+%2F+%2848-9%29++
slope=-60+%2F+39++
slope=-20%2F13++
slope=-1.54++
so, equation is y+=+-1.54x+%2B+b
use one point to find b
84.8+=+-1.54%2A9+%2B+b
84.8+%2B1.54%2A9=+b
84.8+%2B13.86=+b
b=98.66
y+=+-1.54x+%2B+98.66