Consider a regression setting with input data XER® following a Gaussian distribution X~N(4, E). The target variable y is a scalar, p(y|X) is a Gaussian distribution with mean a"X + b and variance o?. Select one or more true statements from below. a. var,-p, [y] 2 o² b. Ey~p(y), [y] = a"µ + b c. Egxp(x\y)» [X] is a linear function of y d. p(X|y) is a Gaussian distribution e. None of above statements is true
Consider a regression setting with input data XER® following a Gaussian distribution X~N(4, E). The target variable y is a scalar, p(y|X) is a Gaussian distribution with mean a"X + b and variance o?. Select one or more true statements from below. a. var,-p, [y] 2 o² b. Ey~p(y), [y] = a"µ + b c. Egxp(x\y)» [X] is a linear function of y d. p(X|y) is a Gaussian distribution e. None of above statements is true
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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![Consider a regression setting with input data XER® following a Gaussian distribution X~N(4, E).
The target variable y is a scalar, p(y|X) is a Gaussian distribution with mean a"X + b and variance
o?. Select one or more true statements from below.
a. var,-p, [y] 2 o²
b. Ey~p(y), [v] = a"µ +b
c. Egxp(x\y)» [X] is a linear function of y
d. p(X|y) is a Gaussian distribution
e. None of above statements is true](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F454317f8-010a-42f2-b6e0-44f3c3ef6a8f%2F6048ef87-88b1-4297-b6de-576ce17ae357%2F9pg0pv_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a regression setting with input data XER® following a Gaussian distribution X~N(4, E).
The target variable y is a scalar, p(y|X) is a Gaussian distribution with mean a"X + b and variance
o?. Select one or more true statements from below.
a. var,-p, [y] 2 o²
b. Ey~p(y), [v] = a"µ +b
c. Egxp(x\y)» [X] is a linear function of y
d. p(X|y) is a Gaussian distribution
e. None of above statements is true
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