Question

find the linear transformation model.
x y
------------------
0 8
1 39
2 195
3 960
4 4,738
5 23, 375

a) log y^hat= 0.6935 *log x + 0.9013
b) log y^hat= 0.9013x + 0.6935
c) log y^hat= 0.6935x + 0.9013
d) log y^hat= 0.9013 *log x + 0.6935

Answer 1

@aggie12341

Answer 2

@agent0smith

Answer 3

@BTaylor @dan815 can you please help me ?

Answer 4

hey skinny

Answer 5

let me see if I can help you

Answer 6

skinny, do you have to choose one option?

Answer 7

yes I do then I have to use that option to predict what y will be if x is 12

Answer 8

well, the equation would have to fit x=0, so a) and d) are discarted

Answer 9

because log(0) doesn't exists, right?

Answer 10

yeah

Answer 11

ok, with x=0 you have the following calculations for y, with b) and c):

b) y=10^(0.9013*0 + 0.6935) = 10^0.6935 = 5 (aprox)
c) y=10^(0.6935*0 + 0.9035) = 10^0.9035 = 8 (aprox)

Answer 12

so, it has to be c)

Answer 13

let's check with one more value for x=3:

c) y=10^(0.6935*3 + 0.9035) = 10^(2.0805+0.9035) = 10^2.984 = 963 (aprox)

so, it fits ok

Answer 14

another way is to make a table for x and log(y):

Answer 15

how did you get .9035? it is .9013

Answer 16

x log(y)
0 0.9030
1 1.5910
2 2.2900
3 2.9822
4 3.6756
5 4.3688

Answer 17

you're right!!! sorry!!! but the result is very similar, it fits ok

Answer 18

ok

Answer 19

so, from that table you could calculate the best values for a and b, to form the equation:
log y = a*x + b

Answer 20

so if you plug in x = 12 in the equation I should get 1,672,245,362 right?

Answer 21

yes, I have the same numbre

Answer 22

*number

Answer 23

thank you

Answer 24

that's your prediction

you're welcome!!!