From 1975 to 1986, the general social survey asked its participants if they favored or opposed capital punishment. a least squares regression line was calculated to predict the percent that favored the death penalty based on the year. the least squares regression equation is yhat= -1912.49+1.003x. interpret the y-intercept for this equation, if appropriate.

Step-by-step explanation:

The given expression is

This linear regression expresses a line in its explicit form

Where represents the y-interception.

This element of the linear regression represents the initial condition of the modelled problem, that is, in this case is the initial year.

So, it doesn't make sense that the initial year is -1912.49, because years are whole number, they are not represented as decimals. Additionally, years cannot be negative numbers, because it won't make sense, time cannot go backwards.

Therefore, the y-interception is not appropriate to model this problem.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!