Which of the following best represents the linear regression equation for the X values and log Y values of the data shown below

y=103.13x - 183.98

Step-by-step explanation:

Given the data :

To obtain the linear equation which best fits the data ; we could perform a linear regression analysis using a technology to obtain a best fit line.

The linear regression Equation obtained by using technology is :

y=103.13x - 183.98

Where ;

Slope = 103.13

Intercept = - 183.98

y = response variable

x = predictor variable

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.