slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5
y intercept (0,6) b = 6
y = 1.5x + 6
b. y = 1.5x + 6
The correct option is
Step-by-step explanation: We are given to find the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
From the table and the scatter plot sown in the figure, we note that
the two points that are closest to the line are (5, 40) and (15, 5).
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
So, the slope of the given line will be
Since the point (5, 40) is very close to the line, so its equation will be
Thus, the required equation for the linear model is
Option (A) is CORRECT.
The picture of the question in the attached figure
take the two points closest to the line in the graph
(5,40) and (15,5)
find the slope
The formula to calculate the slope between two points is equal to
Find the equation of the line in slope intercept form
substitute and solve for b
hey the answer is y=1.5x+6 just took the test!
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
Option C is the answer.
To find the equation of the straight line equation i.e, we must be given with the two points and
Since from the graph the two points closest to the line are and
Equation of line with two points closest to the line :
where m is the slope.
First we find the slope(m)=
on simplify we get, .
Now, to find the equation of the line:
Apply distributive property on right hand side, we get
Adding both sides by 36, we get
The equation for the linear model in the scatter plot obtained by the two closest point closest to the line is,
answer = y = -3.5x - + 57.5
We can also rule out choice C as the y intercept is definitely not -12. The y intercept is some positive value above 5, so 6 is probably a good guess or the correct y intercept.
This leaves choice B or choice D. They both have a y intercept of 6, so let's ignore that part. The slopes are different. For choice B we have 1.5 as the slope and choice D we have 2 as the slope.
Pick the two points closest to the line which are (4, 12) and (20,36). Start by using the graph to find the two closest points. Then use the table to confirm that you have the proper numeric values.
m = (y2-y1)/(x2-x1)
m = (36-12)/(20-4)
m = 24/16
m = 1.5
So this points to choice B as the final answer
where are the options?
the last table is proportional
simplify the last table and you will find that y is 1/2 of x and its constant.
and i hope it c:
have a nice day