A researcher plans to study the causal effect of police on crime, using data from a random sample of U. S. counties. He plans to regress the county’s crime rate on the (per capita) size of the county’s police force. (a) Explain why this regression is likely to suffer from omitted variable bias. Which variables would you add to the regression to control for important omitted variables? (b) Use your answer to (a) and the expression for omitted variable bias on slide 5 of the slides on Chapter 6 (it is also Equation (6.1) in SW) to determine whether the regression will likely overor underestimate the effect of police on the crime rate. That is, do you think that βb 1 > β1 or βb 1 < β1 ?

s + (a + 178) = 2000

step-by-step explanation:

2000 - 178 = 1822

1822 / 2 = 911

911 + 178 = 1089

1089 + 911 = 2000

abha = 1089

shane = 911

the answer is true.

step-by-step explanation:

y=mx+b

step-by-step explanation:

m slope

b y-intercept

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240