Regression Example Suppose you want to predict your average HC/LO score across your next day of classes based on whether you got more or less sleep than your usual 8 hours. You decide to make a regression model b = C + Mt, where b is the output, C and M are the coefficients of your model (what you need to find), and t is the number of hours above (or below for negative values) 8 hours of sleep. You feel lazy and only take five measurements: Hours of sleep above/below 8 (t) Mean HC/LO score (b) -4 1
Regression Example Suppose you want to predict your average HC/LO score across your next day of classes based on whether you got more or less sleep than your usual 8 hours. You decide to make a regression model b = C + Mt, where b is the output, C and M are the coefficients of your model (what you need to find), and t is the number of hours above (or below for negative values) 8 hours of sleep. You feel lazy and only take five measurements: Hours of sleep above/below 8 (t) Mean HC/LO score (b) -4 1
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 32E
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Part D needed in 30 minutes
Please solve this question correctly in 30 minutes
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![(d) Regression Example Suppose you want to predict your average HC/LO score
across your next day of classes based on whether you got more or less sleep than
your usual 8 hours. You decide to make a regression model b = C+Mt, where
b is the output, C and M are the coefficients of your model (what you need to
find), and t is the number of hours above (or below for negative values) 8 hours
of sleep. You feel lazy and only take five measurements:
Hours of sleep above/below 8 (t) Mean HC/LO score (b)
1
3
4
3
2
-4
-1
1
3
4
i. Inputting the above into the formula for our linear model gives us a system of
five equations and two unknowns - C and M. Write out this system
explicitly, then describe it as the matrix equation Ax = b, where x =
M What are A and 6?
].
ii. Demonstrate that the system is inconsistent and that the columns of A are
independent.
iii. Use the techniques from above to solve for â.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda8ca31e-ab8e-4c2e-96b3-361b44dfca23%2Fd6c66ff9-414f-4766-bf54-451025c5324e%2F1z18ztr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(d) Regression Example Suppose you want to predict your average HC/LO score
across your next day of classes based on whether you got more or less sleep than
your usual 8 hours. You decide to make a regression model b = C+Mt, where
b is the output, C and M are the coefficients of your model (what you need to
find), and t is the number of hours above (or below for negative values) 8 hours
of sleep. You feel lazy and only take five measurements:
Hours of sleep above/below 8 (t) Mean HC/LO score (b)
1
3
4
3
2
-4
-1
1
3
4
i. Inputting the above into the formula for our linear model gives us a system of
five equations and two unknowns - C and M. Write out this system
explicitly, then describe it as the matrix equation Ax = b, where x =
M What are A and 6?
].
ii. Demonstrate that the system is inconsistent and that the columns of A are
independent.
iii. Use the techniques from above to solve for â.
Transcribed Image Text:(a) Let A =
1 0
01
00
+-·
=
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