Find an equation of a square root curve of the form
1 answer:
Answer:
y = √(5x+34)
Step-by-step explanation:
The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...
y = √(5x+34)
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If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:
y = √(ax +b)
7 = √(3a +b) ⇒ 49 = 3a +b
8 = √(6a +b) ⇒ 64 = 6a +b
Subtracting the first equation from the second, gives ...
(64) -(49) = (6a +b) -(3a +b)
15 = 3a ⇒ a = 5
49 = 3(5) +b ⇒ b = 34
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