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.
Sequential decline of whale catches in the Antarctic shows the strong effect of human predators.
Procedures for Diagnostic Tests Related to the Digestive System
Procedures for Diagnostic Tests Related to the Musculoskeletal system
Blood Collection Tubes: Order of Draw
Rank-order correlations show that differential consistency remains high from childhood through late ...
The order of gene transfer in four Hfr strains