a. Give the equation of the least squa b. Give a practical interpretation (if possible) of the y-intercept of the line. c. Give a practical interpretation (if possible) of the slope of the line. odT) oln Aer

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SECTION 11.2 I Fitti
11.24
a. Give the equation of the least squares line.o
b. Give a practical interpretation (if possible) of the
y-intercept of the line. A
c. Give a practical interpretation (if possible) of the slope
of the line.
boeu
oub ogs
l odT).oln
nglutical
Transcribed Image Text:SECTION 11.2 I Fitti 11.24 a. Give the equation of the least squares line.o b. Give a practical interpretation (if possible) of the y-intercept of the line. A c. Give a practical interpretation (if possible) of the slope of the line. boeu oub ogs l odT).oln nglutical
11.24 Game performance of water polo players. The journal
Biology of Sport (Vol. 31, 2014) published a study of the
physiological performance of top-level water polo play-
ers. Eight Olympic male water polo players participated in
the study. Two variables were measured for each during
competition: y
of the game (expressed as a percentage of maximum heart
rate) and x = maximal oxygen uptake (VO,max). The
data (simulated, based on information provided in the arti-
d om
POLO
= mean heart rate over the four quarters
cle) are shown in the accompanying table. The researchers
conducted a simple linear regression analysis of the data.
ol () A MINITAB printout of the analysis follows.
Player
HR%
VO2Max
55
54
70
67
74
77
78
85
148
157
160
179
179
180
194
197
The regression equation is
HR$ = - 27.2 + 0.558 VO2Max
p blof pe j6sRE admsica m
pi no onil uniwolloldi lo19
T P
19.77 -1.38 0.217
0.5580 0.1130 4.94 0.003od2o
Predictor
Coef SE Coef
Constant -27.24
VO2Max
Ji med
S = 5.26859 R-Sq 80.3% R-Sq (adj) = 77.0%
%3D
I 30 CO
Analysis of Variance
Source
DF
MS F
1 677.45 677.45 24.41 0.003
Regression
Residual Error 6 166.55 27.76
Total
7 844.00
1234 5678
Transcribed Image Text:11.24 Game performance of water polo players. The journal Biology of Sport (Vol. 31, 2014) published a study of the physiological performance of top-level water polo play- ers. Eight Olympic male water polo players participated in the study. Two variables were measured for each during competition: y of the game (expressed as a percentage of maximum heart rate) and x = maximal oxygen uptake (VO,max). The data (simulated, based on information provided in the arti- d om POLO = mean heart rate over the four quarters cle) are shown in the accompanying table. The researchers conducted a simple linear regression analysis of the data. ol () A MINITAB printout of the analysis follows. Player HR% VO2Max 55 54 70 67 74 77 78 85 148 157 160 179 179 180 194 197 The regression equation is HR$ = - 27.2 + 0.558 VO2Max p blof pe j6sRE admsica m pi no onil uniwolloldi lo19 T P 19.77 -1.38 0.217 0.5580 0.1130 4.94 0.003od2o Predictor Coef SE Coef Constant -27.24 VO2Max Ji med S = 5.26859 R-Sq 80.3% R-Sq (adj) = 77.0% %3D I 30 CO Analysis of Variance Source DF MS F 1 677.45 677.45 24.41 0.003 Regression Residual Error 6 166.55 27.76 Total 7 844.00 1234 5678
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