Mathematics, 23.07.2019 18:00 eldeldenali965

7. the graph below shows a scatter plot and its line of best fit. which represents the equation of the line of best fit and the best prediction of the value of y when x = 15? *

7. the graph below shows a scatter plot and its line of best fit. which represents the equation of t

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Answer from: tylerj1133

(1) Equation of best fit:
To get the equation of the line, we will need at least two points that belong to this line.
Taking a look at the graph provided, we will find that:
At x=0, y=4 > First point is (0,4)
At x=9, y=7 > Second point (9,7)
The general formula of the equation is:
y = mx + c
where m is the slope and c is the y intercept.
Slope (m) is calculated as follows:
m = (y2-y1) / (x2-x2) = (7-4) / (9-0) = 1/3
To get c, we will substitute with any point in the equation of line. I will work with the point (0,4) as follows:
y = mx + c
y = (1/3)x + c
4 = (1/3)(0) + c > c = 4
Based on the above calculations, the equation of the line of best fit is:
y = (1/3)x + 4

(2) Best prediction of the value of y when x=15:
To get the best prediction of the value of y when x is 15, substitute with the value of x in the equation of the best fit line and get the corresponding y as follows:
y = (1/3)x + 4
y = (1/3)(15) + 4
y = 9

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

Answer from: Quest

its 50 miles away from the starting point

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