Ascatter plot is shown: a graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. the ordered pairs 0, 15 and 1, 10 and 2, 12 and 3, 13 and 4, 7 and 5, 8 and 6, 8 and 7, 4 and 8, 5 and 9, 3 and 10, 0 are shown on the graph which two ordered pairs can be joined to draw the best line of best fit for this scatterplot? (0, 14) and (10, 14) (0, 14) and (10, 1) (0, 7) and (7, 0) (0, 7) and (3, 0)

The correct option is 2.

Step-by-step explanation:

The given data points are (0, 15), (1, 10), (2, 12), (3, 13), (4, 7), (5, 8), (6, 8), (7, 4), (8, 5), (9, 3), (10,0).

The general linear regression model is

        .... (1)

Using the graphing calculator, we get

a=-1.28181818..

b=14.1363636..

Put these values in equation (1).

At x=0,

At x=10,

It means the line of best fit passes through (0,14) and (10,1). Therefore the correct option is 2.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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step-by-step explanation:

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