Question

Spose mans runs a quadratic regression of Y on X and gets this estimated regression function

Y^{HAT} = 2.99 - 0.982X + 0.052X^{2}

whats the predicted partial effect on Y from changing X from 4 to 8?

Answer #1

In the simple linear regression model estimate Y =
b0 + b1X
A. Y - estimated average predicted value, X –
predictor, Y-intercept (b1), slope
(b0)
B. Y - estimated average predicted value, X –
predictor, Y-intercept (b0), slope
(b1)
C. X - estimated average predicted value, Y –
predictor, Y-intercept (b1), slope
(b0)
D. X - estimated average predicted value, Y –
predictor, Y-intercept (b0), slope
(b1)
The slope (b1)
represents
A. the estimated average change in Y per...

Find the quadratic function that is the best fit for f(x)
defined by the table below. x 0 2 4 6 8 10 f(x) 0 401 1598 3602
6391 9990 The quadratic function is y equals = nothing . (Type an
equation using x as the variable. Round to two decimal places as
needed.)

find the minimum and Max value of quadratic function
y=x^2-3x+5

Exhibit 6
The following information regarding a dependent variable (Y) and
an independent variable (X) is provided.
Y X
4 2
6 3
8 4
8 5
11 6
Also given are SSE=1.6 and SST=27.2.
a. Refer to Exhibit 6. What is the least squares estimated
regression equation?
A. Yhat = 1 + 1.6X
B. Yhat = 2 + 3.2X
C. Yhat = 1.6 + 27.2X
D. Yhat = 27.2 + 4.6X
b. Refer to Exhibit 6. What is the...

Consider the quadratic function f, given by f(x) = −x2 + 6x−8.
(i) Determine if the graph of y = −x2 + 6x − 8 is concave up or
concave down, providing a justiﬁcation with your answer. (ii)
Re-write the equation of the quadratic function f, given by f(x) =
−x2 +6x−8, in the standard form f(x) = a(x−h)2+k by completing the
square. Hence determine the vertex of the graph of y = f(x).
(iii) Identify the x-intercepts and y-intercept...

House price y is estimated as a function of the square
footage of a house x; a dummy variable d that
equals 1 if the house has ocean views and 0 otherwise; and the
interaction variable xd. The estimated house price,
measured in $1,000s, is given by yˆy^ = 80 + 0.12x +
40d + 0.01xd.
a. Compute the predicted price of a house with
ocean views and square footage of 2,000 and 3,000, respectively.
(Enter your answers in thousands.)...

part 1)
Find the partial derivatives of the function
f(x,y)=xsin(7x^6y):
fx(x,y)=
fy(x,y)=
part 2)
Find the partial derivatives of the function
f(x,y)=x^6y^6/x^2+y^2
fx(x,y)=
fy(x,y)=
part 3)
Find all first- and second-order partial derivatives of the
function f(x,y)=2x^2y^2−2x^2+5y
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 4)
Find all first- and second-order partial derivatives of the
function f(x,y)=9ye^(3x)
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 5)
For the function given below, find the numbers (x,y) such that
fx(x,y)=0 and fy(x,y)=0
f(x,y)=6x^2+23y^2+23xy+4x−2
Answer: x= and...

Can Y =5+2.8X and X=3-0.5Y be the estimated regression equation
of Y and X respectively? Explain your answer with suitable
theoretical arguments

House price y is estimated as a function of the square footage
of a house x and a dummy variable d that equals 1 if the house has
ocean views. The estimated house price, measured in $1,000s, is
given by yˆ = 118.90 + 0.12x + 52.60d.
a-1. Compute the predicted price (in $1,000s) of a house with
ocean views and square footage of 2,000. (Round intermediate
calculations to at least 4 decimal places. Round your answer to 2
decimal...

Using data from 50 workers, a labour economist runs a multiple
regression of Y (hourly wage in $) on X1 (years of education), X2
(gender) and X3 (an interaction between X1 and X2), and obtains the
following regression results.
Coefficients
Standard error
Intercept
-16.78
2.14
Years of education
2.77
0.16
Gender (coded 1 for female and 0 for
male)
8.84
3.01
Interaction between years of education and
gender
-1.02
0.22
Based on the above information, the estimated effect of X1...

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