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Determine the logarithmic regression of the data below using either a calculator or spreadsheet program. Then, estimate the y value when the x value is 45. Round your answer to one decimal place. (5,6),(10,15),(15,25),(20,27),(25,29),(30,30) Please help right away. I am doing something wrong with my calculations that I got 76.4 and that is not the answer! Again thank you so much!

Respuesta :

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Answer:

y = - 16.1779 + 14.1087*In(x)

y = 37.5

Step-by-step explanation:

Given the data:

X:5,10,15,20,25,30

Y:6,15,25,27,29,30

General form of a logarithmic fuction:

y = A + BIn(x)

Using the logarithmic regression calculator :

The logarithmic regression model is :

y = - 16.1779 + 14.1087*In(x)

The estimated value of y when x = 45

y = - 16.1779 + 14.1087*In(45)

y = - 16.1779 + 14.1087*3.8066624

y = - 16.1779 + 53.707059

y = 37.529159

y = 37.5

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