The height of bedridden patients is often estimated from the length of the patient's ulna, the distance between the point on the elbow and the prominent bone on the wrist. Eight men over the age of 65 had both their height (in centimeters) and the length of their ulna (in centimeters) measured. The data are given in the table below. Ulna length (cm) 20 23 24 26 27 29 30 31 Height (cm) 160 163 166 168 171 178 182 186 Let x denote a patient's ulna length (in cm) and y denote the patient's height (in cm). Assume that the population distributions for both ulna length and height are approximately normal. The following summary measures were obtained from the data. x = 26.25, y = 171.75, SSxx = 99.5, SSyy = 609.5, SSxy = 238.5 We wish to find the least squares regression line for the data in this table using ulna length as an independent variable and height as a dependent variable. Estimate the y-intercept of the least squares regression line. Enter your answer using three decimal places. i

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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The height of bedridden patients is often estimated from the length of the patient's ulna, the distance between the point on the elbow
and the prominent bone on the wrist. Eight men over the age of 65 had both their height (in centimeters) and the length of their ulna
(in centimeters) measured. The data are given in the table below.
Ulna length (cm)
20
23
24
26
27
29
30
31
Height (cm)
160
163
166
168
171
178
182
186
Let x denote a patient's ulna length (in cm) and y denote the patient's height (in cm). Assume that the population distributions for both
ulna length and height are approximately normal. The following summary measures were obtained from the data.
X = 26.25, ỹ = 171.75, SSxx = 99.5, SSyy= 609.5, SSxy= 238.5
ху
We wish to find the least squares regression line for the data in this table using ulna length as an independent variable and height as a
dependent variable.
Estimate the y-intercept of the least squares regression line. Enter your answer using three decimal places.
Transcribed Image Text:The height of bedridden patients is often estimated from the length of the patient's ulna, the distance between the point on the elbow and the prominent bone on the wrist. Eight men over the age of 65 had both their height (in centimeters) and the length of their ulna (in centimeters) measured. The data are given in the table below. Ulna length (cm) 20 23 24 26 27 29 30 31 Height (cm) 160 163 166 168 171 178 182 186 Let x denote a patient's ulna length (in cm) and y denote the patient's height (in cm). Assume that the population distributions for both ulna length and height are approximately normal. The following summary measures were obtained from the data. X = 26.25, ỹ = 171.75, SSxx = 99.5, SSyy= 609.5, SSxy= 238.5 ху We wish to find the least squares regression line for the data in this table using ulna length as an independent variable and height as a dependent variable. Estimate the y-intercept of the least squares regression line. Enter your answer using three decimal places.
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