(a) In given example,

y-intercept \(\displaystyle={b}_{{0}}={0}\)

Slope \(\displaystyle={b}_{{1}}=-{3}\)

(b) When slope is positive then line slope will show upward in a graph. When slope is negative then line slope will show downward in a graph.

Here, slope is -3 which is negative. Hence, line slopes will be downwards in a graph.

(c) Linear regression equation is, y = -3x

Suppose x = 0 then y =0

If x = 1 then y = -3

Therefore, two points are (0,0) and (1,-3)

Following is the graph for above two points:

y-intercept \(\displaystyle={b}_{{0}}={0}\)

Slope \(\displaystyle={b}_{{1}}=-{3}\)

(b) When slope is positive then line slope will show upward in a graph. When slope is negative then line slope will show downward in a graph.

Here, slope is -3 which is negative. Hence, line slopes will be downwards in a graph.

(c) Linear regression equation is, y = -3x

Suppose x = 0 then y =0

If x = 1 then y = -3

Therefore, two points are (0,0) and (1,-3)

Following is the graph for above two points: