What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

Option A

Step-by-step explanation:

Given is the scatter plot for x and y and the possible regression line closer to all the points.

We have to find the equation of the line

We can find two points on the line from the graph and find the equation using two point formula

We find y intercept is 6 i.e. one point (0,6)

Let us take any other point say for

, y = 21

Hence two points are (0,6) and (10,21)

Using two point formula we get

Hence option A is right

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.