You have the results of a simple linear regression based on state-level data and the District of Columbia, a total of N ¼ 51 observations. (a) The estimated error variance ^s2 ¼ 2:04672. What is the sum of the squared least squares residuals? (b) The estimated variance of b2 is 0.00098. What is the standard error of b2? What is the value of ðxi xÞ2? (c) Suppose the dependent variable yi ¼ the state’s mean income (in thousands of dollars) of males who are 18 years of age or older and xi the percentage of males 18 years or older who are high school graduates. If b2 ¼ 0:18, interpret this result. (d) Suppose x ¼ 69:139 and y ¼ 15:187, what is the estimate of the intercept parameter? (e) Given the results in (b) and (d), what is x2i ? (f) For the state of Arkansas the value of yi ¼ 12:274 and the value of xi ¼ 58:3: Compute the least squares residual for Arkansas. (Hint: Use the information in parts (c) and (d).).

5.5

step-by-step explanation:

stop cheating

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )