Question

The first screen below shows the scatterplot. This growth data is exponential: there’s a common factor: 1.09, 1.09, 1.27, 1.14, 1.13, 1.17, etc. (6) The first four logs are: –.0414, –.0026, .0414, .1461. The transformed data are shown in the second screen. The LSRL equation for the transformed data is: log = –110.6417 + .05586x. (7) Performing the inverse transformation yields = ( 10 ^–110.6417 )( 10 ^.05586x ). For 1990, the observed debt is 3.2 (trillion), and the predicted is 3.3126. For 1991, the observed debt is 3.6 and the predicted is 3.767. (8) (2000) = 11.9888 or about $12 trillion. how was any of that figured out

Answer 1

@kropot72 ?

Answer 2

Need a lot more information than that.
Is there an attachment you have to post?

Answer 3

.

Answer 4

mine is slightly different but it is asking for the transformed data then the data be put back. i understand how to do that but i dont know how to get the form y=k*10^bx @wolf1728

Answer 5

Year Debt Increase
1980 0.909
1981 0.994 1.09
1982 1.100 1.11
1983 1.400 1.27
1984 1.600 1.14
1985 1.800 1.13
1986 2.100 1.17
1987 2.300 1.10
1988 2.600 1.13
1989 2.900 1.12
1990 3.200 1.10
1991 3.600 1.13

Here are the numbers from the attachment

Answer 6

Following this procedure:
Performing the inverse transformation yields = ( 10 ^–110.6417 )( 10 ^.05586x ).
10 ^–110.6417 = 2.28191782068065E-111
10 ^.05586 = 3.6190951388
Gonna take a break

Answer 7

I don't get the same answers as you do you think you could tell me how you are doing the inverse transformation yields?
@wolf1728

Answer 8

Basically, I am just doing the math (raising 10 to a power)
10 ^–110.6417 I calculated to be 2.28191782068065E-111
which is actually 2.28191782068065 x 10^-111

Answer 9

For 1990, the observed debt is 3.2 (trillion), and the predicted is 3.3126

(I'll work on that for a while.)