Use the following linear regression equation to answer the questions. x 1 = 1.5 + 3.6 x 2 – 7.8 x 3 + 1.8 x 4 (c) If x 2 = 10, x 3 = 7, and x 4 = 7, what is the predicted value for x 1? (Use 1 decimal...

Use the following linear regression equation to answer the questions.

x
₁ = 1.5 + 3.6x
₂ – 7.8x
₃ + 1.8x
₄

_{(c) Ifx2 = 10,x3 = 7, andx4 = 7, what is the predicted value forx1? (Use 1 decimal place.) answer: -4.5}

_{Supposex3 andx4 were held at fixed but arbitrary values andx2 increased by 1 unit. What would be the corresponding change inx1? answer:3.6

Supposex2 increased by 2 units. What would be the expected change inx1? answer: 7.2

Supposex2 decreased by 4 units. What would be the expected change inx1?}

_{_{(e) Suppose thatn = 13 data points were used to construct the given regression equation and that the standard error for the coefficient ofx2 is 0.461. Construct a 95% confidence interval for the coefficient ofx2. (Use 2 decimal places.)}}

lower limit
upper limit

_{_{(f) Using the information of part (e) and level of significance 1%, test the claim that the coefficient ofx2 is different from zero. (Use 2 decimal places.)}}

t	7.81
t critical ±

Jun 10, 2022

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Use the following linear regression equation to answer the questions. x 1 = 1.5 + 3.6 x 2 – 7.8 x 3 + 1.8 x 4 (c) If x 2 = 10, x 3 = 7, and x 4 = 7, what is the predicted value for x 1? (Use 1 decimal...

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