A. y = β0 + β1x1 + β2x2 + ε b. e(y) = β0 + β1x1 c. ŷ = b0 + b1 x1 + b2 x2 d. e(y) = β0 + β1x1 + β2x2 which equation gives the estimated regression line?

c. = b₀ + b₁x₁ + b₂x₂

Step-by-step explanation:

The equation is given in option (a) is Simple Linear Regression Equation.

Option (b) & (d) is also not estimated regression equation.

The equation of estimated regression line is:

where, is predicted value of y.

b₀ is intercept.

b₁ & b₂ is slope of regression line for x₁ & x₂ variable.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3