hw4_sol

# hw4_sol - IEOR 165 Engineering Statistics Quality Control...

This preview shows pages 1–2. Sign up to view the full content.

Homework 4 Solution Chapter 9 Question 1 (b) Noting ¯ x = 11 . 625, ¯ Y = 16 . 4875 B = n i =1 ( x i - ¯ x ) Y i n i =1 x 2 i - n ¯ x 2 = 1 . 206 A = ¯ Y - B ¯ x = 2 . 464 Thus the estimated regression line is Y = 2 . 464 + 1 . 206 x . Question 3 (b) Noting ¯ x = 2 . 6667, ¯ Y = . 0385 B = n i =1 ( x i - ¯ x ) Y i n i =1 x 2 i - n ¯ x 2 = . 0117 A = ¯ Y - B ¯ x = . 0072 Thus the estimated regression line is Y = . 0072 + . 0117 x (c) The estimated response at x = 3 . 2 is . 0446. Question 7 Noting ¯ x = 35 . 65, ¯ Y = 525 . 7 B = n i =1 ( x i - ¯ x ) Y i n i =1 x 2 i - n ¯ x 2 = - 1 . 213 A = ¯ Y - B ¯ x = 568 . 94 Thus the estimated regression line is Y = 586 . 94 - 1 . 213 x . The estimated means for the next 5 states are 471.9, 555.6, 558.03, 564.09, 558.03 respectively. Question 11 Noting ¯ x = 82 . 1429, ¯ Y = 50 . 3929 B = n i =1 ( x i - ¯ x ) Y i n i =1 x 2 i - n

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

hw4_sol - IEOR 165 Engineering Statistics Quality Control...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online