1. Consider the simple linear regression model Y₁ = a + BX; + u₁, where i denotes an observation, Y and X is the outcome explanatory variables and u is the error term. a. Suppose Y denotes GPA and X denotes study hours per week. Suppose that the relationship between study hours and GPA is deterministic. Specifically, if you do not study your GPA for sure will be a miserable 0.3. And, for every hour you study, your GPA will for sure increase by 0.25 points. Write the equation for this deterministic relationship. And, plot GPA conditional on study hours, where these hours runs from 0 to 16 on the X-axis. Why is ui always equal to 0? b. Why is this deterministic relationship a completely unrealistic view of reality? C. Illustrate on your figure random errors, u₁, that are positive shocks indicating that the deterministic model underpredicts the GPA. And illustrate random errors that are negative shocks indicating the model overpredicts. d. The linear model illustrated in diagram is GPA = a + ß* Hours-Studied + u. What does it mean that Hours-Studied are orthogonal to u? e. How is 3 estimated? f. Explain why an estimator of ß can only be accurate (unbiased) when E(u₁|x₁) = 0?

Q: 48> -6x

A: The inequality is

Q: -8+2t 4

A: Question is based on linear equations solving.

Q: -5x -13 = -3

A:

Q: Find A. A = (3A)-1 [ -3-2 4 2

A: Let us consider that                     A=abcdWe have                   (3A)-1=-3-242 ⟹…

Q: 18=-9-3x

A: equation - equation in one variable

Q: -14W=-28

A: The given equation is,

Q: (an)) ヘー 4n

A: Apply the ratio test

Q: 32+4 to Le

A:

Q: 4y-12=0

A: 4y = 12 y = 3

Q: find x and y

A: In the smaller triangle, using pythagorous theorem - Perpendicular2+Base2 = Hypotenuse2x2+102 =…

Q: Find A. A= (4A)-¹ = 3 2 22

A:

Q: 9x = -36 X= ?

A:

Q: Evaluate a + 5, if a = 3, b = -5, and c = 6

A:

Q: y + 8 = 12 y =

A: when left side digit shift to right side then it becomes negative if digit is positive and vice…

Q: 2. 1/4 4.

A: We will use basic arithmetic operation to solve

Q: Find BT if B= 1 5 07-20 38

A: I have stated the method for the solution

Q: 2x-1=-7

A:

Q: -37+z= -54

A: -37+z= -54 We have to add 37 to both sides-37+37+z= -54 +37

Q: 3b-12 = 30

A:

Q: -3 5 + 2x²y ¹2xy² + 7 x²

A:

Q: 7- 2t 2. 1.

A: This is a problem of differentiation. Based on the general formual we will answer the question.

Q: The bottoms numbers -4,2,-2

A:

Q: Wht is 10-73

A:

Q: Divide. y + 10y +21 y +7

A: Dividey2+10y+21y+7

Q: 3x +30 Y 45 60 15 O o o o

A: Given that, ∠EYZ=3x∠ZYQ=x+30∠EYQ=90

Q: 15+c=-12

A:

Q: -8=-4+v

A: The given equation is,

Q: could yo do the next 3 please

A: Given F(t) = t3 ; 0<t<1 The probability density function will be: f(t) = ddt F(t)=3t2 The…

Q: How did u get  the 18?

A: Probability = favorable/total  Total balls = 8  Numbered from 1 to 8

Q: -3X 3x+5)€ de

A: solve the integration by part

Q: Raye ond fad the Domain スー2

A: The domain of a function is all the possible values attainable by x for which the value of y exists.…

Q: what is 15w+45

A: Given:15w+45

Q: -7c+9+5=-27

A: The given expression is: -7c+9+5=-27

Q: Zº 110⁰ 0 30⁰ yo

A:

Q: -3(4x-5)-6=18

A: Given: −34x−5−6=18 To determine: The value of x.

Q: 4x - 3 = -13

A: We need to solve the following equation 4x-3 =-13