Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4   Suppose x2 increased by 2 units. What would be the expected change in x1?   Suppose x2 increased by 4 units. What would be the expected change in x1?   (e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.454. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit ? upper limit ? (f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t ? t critical ± ?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
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Use the following linear regression equation to answer the questions.

x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4
 
Suppose x2 increased by 2 units. What would be the expected change in x1?
 
Suppose x2 increased by 4 units. What would be the expected change in x1?
 
(e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.454. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.)
lower limit ?
upper limit ?

(f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.)

t ?
t critical ± ?
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