Question

which two points should you use to find the equation of the model? a linear model for the data in the table shown in the scatter plot ? please help with question A and B​

Answer 1

a. (1,14) and (7,7)

b. slope = -1.2

Explanation:

a. Use the points that are actually on the drawn line

(1,14) and (7,7)

b. Slope formula is :

`slope = ( y_(2) - y_(1)) / ( x_(2) - x_(1))`

It doesnt matter which one is 1 or 2. I will take (1,14) as (x1, y1) and (7,7) as (x2, y2)

`slope = ((7 - 14))/((7 - 1)) \\ = ( - 7)/(6) = - 1.1667 = - 1.2`

Answer 2

(A) (1, 14) and (7, 7)

(B) -1.17

Explanation:

(A) the 2 points that should be used are: (1, 14) and (7, 7). The reason is that these 2 points are the closest to the trend line.

(B) With 2 points - (x1, y1) and (x2, y2) - a linear equation can be obtained. The slope (m) of the line is computed as follows:

m = (y2 - y1)/(x2 - x1)

m = (7 - 14)/(7 - 1) = -1.17