Suppose that you are interested in estimating the ceteris paribus relationship between y and x,. For this purpose, you can collect data on two control variables, x2 and x3. (For concreteness, you might think of y as final exam score, x, as class attendance, x2 as GPA up through the previous semester, and x3 as SAT or ACT score.) Let B, be the simple regression estimate from y on x and let be the multiple regression estimate fro m y on xi, X2, X3. (a) If xi is highly correlated with x2 and xj in the sample, and x2 and xs have large partial effects on y, would you expect A and to be similar or very different? Explain.
(b) If X1 is almost uncorrelated with X2 and x3, but x2 and x3 are highly correlated, will and tend to be similar or very different? Explain.
(c) If x1 is highly correlated with x2 and x3, and x2 and x3 have small partial effects on y, would you expect selß1] or selB1] to be smaller? Explain.
(d) If x1 is almost uncorrelated with x2 and x3, x2 and x3 have large partial effects on y, and %y and xi are highly correlated, would you expect selß] or selßi] to be smaller? Explain.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.