Using the tables below determine by hand if the data is linear, exponential, or

Question

Using the tables below determine by hand if the data is linear, exponential, or neither. If the data is linear or exponential give the equation. Use logistic regression to model the following data. Round your equation to 3 decimal places. Given the equation C = F/M + F * N a.) Solve for M b.) Solve for N About 100 years ago your great grandfather deposited $100 in a savings account and then forgot about it. Assume the account has been earning 6.5% interest compounded quarterly. The Bank is willing to give you the money if you could calculate how much is in that account today. What would be your answer?

Explanation / Answer

9 . a) rate of change = change in y / change in x

plugging the values in the formula we get , rate of change = 6.58 - 8 / 1-0 = -1.42

therefore rate of change in this data is always constant

hence , the data is linear

standard equation is y = mx+b

m = -1.42

plugging x = 0 , y = 8 to get b

8 = -1.42(0) + b

b = 8

hence equation is

y = -1.42x + 8

b) b is neither linear nor exponential since we have 2 y values for same x ( x=3)

c) data is neither linear nor exponential

check if x values are equally spaced

from x = 0 to x = 3

change in x = 1

but from x = 3 to x = 5

change in x = 2

hence they are not equaly spaced

neither linear nor exponential

11) C = F / ( M+F) * N

a) solve for M

multiplying both sides by N

CN = F / (M+F)

multiplying both sides by (M+F)

CN(M+F) = F

CNM +CNF = F

subtracting both sides by CNF

CNM = F - CNF

M = F ( 1-CN) / CN

M = F( 1/CN - 1 )

b) solve for N

C = F / ( M+F) * N

multiplying both sides by (M+F)

C (M+F) = FN

dividing both sides by F

C(M+F) / F = N

CM/F + C = N

C ( M/F + 1) = N

N = C ( M/F + 1)

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