Author Question: During its manufacture, a product is subjected to four different tests in sequential order. An ... (Read 194 times)

haleyc112 · **on:** Feb 14, 2020

During its manufacture, a product is subjected to four different tests in sequential order. An efficiency expert claims that the fourth (and last) test is unnecessary since its results can be predicted based on the first three tests. To test this claim, multiple regression will be used to model Test4 score (y), as a function of Test1 score

Test 2 score (x₂), and Test3 score (x₃). [Note: All test scores range from 200 to 800, with higher scores indicative of a higher quality product.] Consider the model:

E(y) = β₁ + β₁x₁ + β₂x₂ + β₃x₃

The first-order model was fit to the data for each of 12 units sampled from the production line.

A 95% prediction interval for Test4 score of a product with Test1 = 590,

and

is

Interpret this result.
◦ Since 0 is outside the interval, there is evidence of a linear relationship between Test4 score and any of the other test scores.
◦ We are 95% confident that a product's Test4 score increases by an amount between 583 and 793 points for every 1 point increase in Test1 score, holding Test 2 and Test 3 score constant.
◦ We are 95% confident that a product's Test4 score will fall between 583 and 793 points when the first three scores are 590, 750, and 710, respectively.
◦ We are 95% confident that the mean Test4 score of all manufactured products falls between 583 and 793 points.

strudel15 · **Reply #1 on:** Feb 14, 2020

A FREE account is required to view all solutions!

Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.

Answer Preview

Only 45% of students answer this correctly