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Chapter 7

STAT151 Chapter Notes - Chapter 7: Wella, Scatter Plot, Lincoln Near-Earth Asteroid Research


Department
Statistics
Course Code
STAT151
Professor
Omar Rivasplata
Chapter
7

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
 !"#$#% !"##! !"& '" # '(!&#!#)!$# "*%&+ ! ,#"-  +#' .,! "
(!&)/  
0"1",!"/,  *!(#"2+ !")# !* !" +* , 
o !#!/. "  "   "# !* !""* +*) .!" #%&+ !"/,"#+//!3 *"
. "'! "$+.)./ #
o!4/,#) ',% !"'!&'"*!" #"#  ! "- / ! $5 $&+ ! ".+#
+",# ",' (!&###! ,
0 # !/ /,)//, predicted value%",! !#'! "#
^
y
%,$6 
,!7"& '" &#(,#."#",! ###! ,.,! ,(+!#, #!,+
o#!,+(+ #+#')7 /,-#.,! !"!#)  #.!"
line of best t!# !")'! #+/) #2+,#!,+#!##/# %", least squares!"
89:
*&!2+ !")# !* !"!##)'#;'/<#.",&!# $6!" .
y=mx +b
0&' !#)/ /4+!"/,=
^
y=bO+b1x
0'! 
bO
",
b1
) !" . ",#.) !"
o#b##, coecients ) !"/,
>!" 
b1
!# #.; !# #+#'.!,$$6 "*#!"#.  5
>!" 
bO
!# !" . ; !# #+#' !"!" . # $65!#
?:
#.) !"!#
b1=rsy
sx
=covariance of xy
variance of x
 !"#:-(+"! #%&+ #.#,
o'5",$/#+,@' +"! # $(@/$" 7  ! !"%&+ ! '!"* !#.
o)%the units of slope are ALWAYS the units of y per unit of x
2+ !") !" . !#
bO= ´yb1´x
Least Square Lines //"$,regression lines
o*##!"/# '$#/"# /,1 &$# #2+
+#*##!"/,%'4 #/conditions',!,) !"
oVariables MUST be quantitative
oRelationship MUST be straight enough
oThere must be NO outliers
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