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 = 1,750 + 1.5x. (a) What is the expected value (in pounds per square inch) of 28-day strength when accelerated strength = 2,490 psi? psi (b) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 1 psi? psi (c) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 50 psi? psi (d) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength decreases by 50 psi? psi

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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 \( y = 1,750 + 1.5x \).

(a) What is the expected value (in pounds per square inch) of 28-day strength when accelerated strength = 2,490 psi?

\[ \text{Answer:} \ \boxed{ } \ \text{psi} \]

(b) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 1 psi?

\[ \text{Answer:} \ \boxed{ } \ \text{psi} \]

(c) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 50 psi?

\[ \text{Answer:} \ \boxed{ } \ \text{psi} \]

(d) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength decreases by 50 psi?

\[ \text{Answer:} \ \boxed{ } \ \text{psi} \]
Transcribed Image Text: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 \( y = 1,750 + 1.5x \). (a) What is the expected value (in pounds per square inch) of 28-day strength when accelerated strength = 2,490 psi? \[ \text{Answer:} \ \boxed{ } \ \text{psi} \] (b) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 1 psi? \[ \text{Answer:} \ \boxed{ } \ \text{psi} \] (c) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength increases by 50 psi? \[ \text{Answer:} \ \boxed{ } \ \text{psi} \] (d) By how much can we expect 28-day strength (in pounds per square inch) to change when accelerated strength decreases by 50 psi? \[ \text{Answer:} \ \boxed{ } \ \text{psi} \]
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