Which answer is the best estimate of the residual value when x = 2?
−1
−0.5
0.5
1

The best estimate of the residual value when x = 2 is:

-0.5

Step-by-step explanation:

We are asked to find the best estimate of the residual value when, x=2.

We know that:

" A residual is the vertical distance between a data point and the regression line. It is positive if the data point is above the regression line and negative if they are below the regression line ".

Hence, at x=2.

we have value=4.

but the value on the regression line at x=2 is 4.5

Hence, the vertical distance is:

4.5-4=0.5

As the data point lie below the regression line. hence the residual value will be negative.

Hence, the best estimate of the residual value when x = 2 is -0.5.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47