This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise An article on estimating 28-day strength of concrete considered regressing y = 28-day standard-cured strength (psi) against x = accelerated strength (psi). Suppose the equation of the true regression line is y= 1,820 + 1.2x. (a) What is the expected value of 28-day strength when accelerated strength = 2,520? (b) By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (c) By how much can we expect 28-day strength to change when accelerated strength increases by 80 psi? (d) By how much can we expect 28-day strength to change when accelerated strength decreases by 80 psi? Step 1 (a) What is the expected value of 28-day strength when accelerated strength = 2,520? We are given the accelerated strength, x = 2,520 psi. Use this value of x in the given regression line equation in order to find the expected value of 28-day strength when the accelerated strength is 2,520 psi. y = 1,820 + 1.2x = 1,820 + 1.2 2520 =4844 ✓ The expected value of 28-day strength (in pounds per square inch) with an accelerated strength of 2,520 psi is Submit Skip (you cannot come back) psi.

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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
An article on estimating 28-day strength of concrete considered regressing y = 28-day standard-cured strength (psi) against x = accelerated strength (psi). Suppose the equation of the true regression line is y = 1,820 + 1.2x.
(a) What is the expected value of 28-day strength when accelerated strength = 2,520?
(b) By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi?
(c) By how much can we expect 28-day strength to change when accelerated strength increases by 80 psi?
(d) By how much can we expect 28-day strength to change when accelerated strength decreases by 80 psi?
Step 1
(a) What is the expected value of 28-day strength when accelerated strength = 2,520?
We are given the accelerated strength, x = 2,520 psi. Use this value of x in the given regression line equation in order to find the expected value of 28-day strength when the accelerated strength is 2,520 psi.
y = 1,820 + 1.2x
= 1,820 + 1.2 2520
)
=4844
✓
The expected value of 28-day strength (in pounds per square inch) with an accelerated strength of 2,520 psi is
Submit
Skip (you cannot come back)
psi.
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise An article on estimating 28-day strength of concrete considered regressing y = 28-day standard-cured strength (psi) against x = accelerated strength (psi). Suppose the equation of the true regression line is y = 1,820 + 1.2x. (a) What is the expected value of 28-day strength when accelerated strength = 2,520? (b) By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (c) By how much can we expect 28-day strength to change when accelerated strength increases by 80 psi? (d) By how much can we expect 28-day strength to change when accelerated strength decreases by 80 psi? Step 1 (a) What is the expected value of 28-day strength when accelerated strength = 2,520? We are given the accelerated strength, x = 2,520 psi. Use this value of x in the given regression line equation in order to find the expected value of 28-day strength when the accelerated strength is 2,520 psi. y = 1,820 + 1.2x = 1,820 + 1.2 2520 ) =4844 ✓ The expected value of 28-day strength (in pounds per square inch) with an accelerated strength of 2,520 psi is Submit Skip (you cannot come back) psi.
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