Question

Use logarithmic regression to find an equation of the form y= a+b In(x) to model the data

Answer 1

Answer:

A:-76.204

B:37.673

And the last one is "51"

Step-by-step explanation:

I just took the test on edge.

Answer 2

Answer:

Logarithmic Regression:

To model a function is in the form of : $y = a+b\ln x$....[1] to a set of data.

Here, x represents the days and y represents the height.

Using the table as shown:

x          y

9          5

12         17

22        45

40        60

Now, create a scatter plot and a graph of the model as shown below

The command for logarithmic regression in excel is given as:

$y = 37.63 \ln x-76.204$

we can write this as:

$y =-76.204+37.63 \ln x$

on comparing with [1] we have;

a = -76.204 and b = 37.63

Therefore, the value of a and b are:  -76.204 and 37.63

and equation that model the data is,  $y =-76.204+37.63 \ln x$