1. the table shows the soil density of several soil samples at different depths.
depth (m)
1
5
6
8
10
12
14
21
23
24
28
soil density ()
1052
1073
1112
1149
1171
1252
1219
1244
1267
1251
1264

(a) write the equation of the regression line that models the data. let x = depth below the surface and let y = soil density. (use the highlighted points to calculate your equation)
(b) use the equation to estimate the soil density of a sample at a depth of 20 m. show your work.

Step-by-step explanation:

To find and model the line, start by picking two points on the graph to draw the line through. We'll use (5, 1073) and (6, 1112). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (1171 - 1073)/(10 - 5)

m = 98/5

m = 19.6

Now we can use that slope and any point on the line to find the model through those two points.

y - y1 = m(x - x1)

y - 1073 = 19.6(x - 5)

y - 1073 = 19.6x - 98

y = 19.6x + 975

Now we can use that model to find the value at 20.

y = 19.6x + 975

y = 19.6(20) + 975

y = 392 + 975

y = 1367

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

11 feet 6 inches and 8 feet 6 inches