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Help 17

 

Find the exponential model of best fit for the points (−3,5),(1,12),(5,72),(7,137)-3,5,1,12,5,72,7,137. Explain how you got your answer. Round values to the nearest hundredth.

NotSoSmart  Nov 23, 2018
 #1
avatar+371 
+2

Exponential Growth. When X increases, Y increases. When X decreases, Y decreases.

PartialMathematician  Nov 24, 2018
 #2
avatar+371 
+2

Why are they duplicates of the same point in the question?

PartialMathematician  Nov 24, 2018
 #6
avatar+371 
+2

Across Quadrants I and II. 

PartialMathematician  Nov 24, 2018
 #3
avatar+371 
+2

Here is a graph:

 

https://www.desmos.com/calculator/vgvpzwtqbr

 

- PM

PartialMathematician  Nov 24, 2018
 #4
avatar+371 
+2

According to desmos, the best fit line is \(y = 12.7288x + 24.678\), which you can round to \(y = 12.73x + 24.68\) or \(y = 13x + 25\) .

 

Hope this helps,

- PM

PartialMathematician  Nov 24, 2018
edited by PartialMathematician  Nov 24, 2018
 #5
avatar+371 
+2

You are very welcome!

 

:P

PartialMathematician  Nov 24, 2018
 #7
avatar+92429 
+1

We need an exponential growth model, here

 

The function that ost cosely mdels the data   is

 

f(x)   = 11.7588 ( 1.4094 )^x

 

 

cool cool cool

CPhill  Nov 25, 2018
 #8
avatar
0
-3 5
1 12
5 72
7 137

 

 
   
   
Guest Nov 30, 2018

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