Please answer all parts SECTION 11.2 I Fitti11.24a. Give the equation of the least squares line.ob. Give a practical interpretation (if possible) of they-intercept of the line. Ac. Give a practical interpretation (if possible) of the slopeof the line.boeuoub ogsl odT).olnnglutical 11.24 Game performance of water polo players. The journalBiology of Sport (Vol. 31, 2014) published a study of thephysiological performance of top-level water polo play-ers. Eight Olympic male water polo players participated inthe study. Two variables were measured for each duringcompetition: yof the game (expressed as a percentage of maximum heartrate) and x = maximal oxygen uptake (VO,max). Thedata (simulated, based on information provided in the arti-d omPOLO= mean heart rate over the four quarterscle) are shown in the accompanying table. The researchersconducted a simple linear regression analysis of the data.ol () A MINITAB printout of the analysis follows.PlayerHR%VO2Max5554706774777885148157160179179180194197The regression equation isHR$ = - 27.2 + 0.558 VO2Maxp blof pe j6sRE admsica mpi no onil uniwolloldi lo19T P19.77 -1.38 0.2170.5580 0.1130 4.94 0.003od2oPredictorCoef SE CoefConstant -27.24VO2MaxJi medS = 5.26859 R-Sq 80.3% R-Sq (adj) = 77.0%%3DI 30 COAnalysis of VarianceSourceDFMS F1 677.45 677.45 24.41 0.003RegressionResidual Error 6 166.55 27.76Total7 844.001234 5678

a) From the provided output, the equation of the least squares line is HR%=–27.2+0.558VO2Max b) From…

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

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Please answer all parts

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

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