to (2) (15) (6) (7) 8. 1 R p t h & ti r M! Be R! o? r, of or . It is an to a or . As it it is as It is to as or r =( ) ( )i= 1n( )2i= 1n( )2i= 1nD i v i s i o n o f t h e n u m e r a t o r a n d d e n o m i n a t o r b y ( n - 1 ) g i v e ( ) ( )n - 1i= 1n( )2n - 1i= 1n( )2n - 1i= 1n=C O Vx r 1.0 be of of 8. 1 t t it d t s s T A B L E 1 8 . 1 E X P L A I N I N G A T T I T U D E T O W A R D S P O R T S C A R S _ _ _ _ _ _ A t t i t u d e D u r a t i o n I m p o r t a n c e R e s p o n d e n t T o w a r d o f S p o r t s C a r A t t a c h e d t o S p o r t s C a r s O w n e r s h i p P e r f o r m a n c e 1 6 10 3 2 9 12 11 3 8 12 4 4 3 4 1 5 10 12 11 6 4 6 1 7 5 8 7 8 2 2 4 9 11 18 8 10 9 9 10 11 10 17 8 12 2 2 5 9 3 6 8 = (10 + 12 + 12 + 4 + 12 + 6 + 8 + 2 + 18 + 9 + 17 + 2)/12 = = (6 + 9 + 8 + 3 + 10 + 4 + 5 + 2 + 11 + 9 + 10 + 2)/12 = X i - X ) ( Y i - Y )i = 1n= (10 + ( + (+ ( + (+ (+ (+ (+ (+ ( + (+ (= + + = ( X ) 2i = 1n = ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( = + + Y i - Y ) 2i = 1n = ( + ( + ( + ( + (+ ( + ( + ( + ( + ( + ( + ( = + r = 1 7 9 . 6 6 6 8( 3 0 4 . 6 6 6 8 ) ( 1 2 0 . 9 1 6 8 ) = of E x p l a i n e d v a r i a t i o nT o t a l v a r i a t i o n= S y= T o t a l v a r i a t i o n - E r r o r v a r i a t i o nT o t a l v a r i a t i o n= S S Se r r o yT a b l e 1 8 . 2 C a l c u l a t i o n o f t h e P r o d u c t M o m e n t C o r r e l a t i o n N u m b e r A t t i t u d e ( Y ) D u r a t i o n ( X ) 21 1 2 11 1. 6 10 0 . 6 6 7 0 . 4 4 8 9 - 0 . 5 8 3 0 . 3 3 6 4 - 0 . 3 8 8 6 2. 9 12 2 . 6 6 7 7 . 1 2 8 9 2 . 4 1 7 5 . 8 5 6 4 6 . 4 6 1 4 3. 8 12 2 . 6 6 7 7 . 1 2 8 9 1 . 4 1 7 2 . 0 1 6 4 3 . 7 9 1 4 4. 3 4 - 5 . 3 3 3 2 8 . 4 0 8 9 - 3 . 5 8 3 1 2 . 8 1 6 4 1 9 . 0 8 1 4 5. 10 12 2 . 6 6 7 7 . 1 2 8 9 3 . 4 1 7 1 1 . 6 9 6 4 9 . 1 3 1 4 6. 4 6 - 3 . 3 3 3 1 1 . 0 8 8 9 - 2 . 5 8 3 6 . 5 6 6 4 8 . 5 9 1 4 7. 5 8 - 1 . 3 3 3 1 . 7 6 8 9 - 1 . 5 8 3 2 . 4 9 6 4 2 . 1 0 1 4 8. 2 2 - 7 . 3 3 3 5 3 . 7 2 8 9 - 4 . 5 8 3 2 0 . 9 7 6 4 3 . 5 7 1 4 9. 11 18 8 . 6 6 7 7 5 . 1 6 8 9 7 . 4 1 7 1 9 . 5 3 6 4 3 8 . 3 2 1 4 10. 9 9 - 1 0 . 3 3 3 0 . 1 0 8 9 2 . 4 1 7 5 . 8 5 6 4 - 0 . 7 9 8 6 11. 10 17 7 . 6 6 7 5 8 . 8 2 8 9 3 . 4 1 7 1 1 . 6 9 6 4 2 6 . 2 3 1 4 12. 2 2 - 7 . 3 3 3 5 3 . 7 2 8 9 - 4 . 5 8 3 2 0 . 9 7 6 4 3 3 . 5 7 1 4 Me 2 . 5 8 3 9 . 3 3 3 S u m 3 0 4 . 6 6 8 1 2 0 . 9 1 6 8 1 7 9 . 6 6 6 8 of r )r)of it is a a is , r is an . of by r be H 0 : = 0H 1 : 0 t = r n - 21 - r 2 1 / 2a t n - 2 of on t = 0 . 9 3 6 1 1 2 - 21 - ( 0 . 9 3 6 1 ) 21 / 2= of 12 10. t in of t a = of no is r = 0 2 1 2 3 . . . . . . . 0 1 2 3 4 5 6 is in a in a of in be by of or of of of a or of is of or i = + = or X = or = of = of ei is i th of of is by of r 2. It of is by . or or i i = a + b x, i is i, a b , 0 1 0 1Y Y 0 1 b is to as A or is a of of or of is of of b, is or is by of of to at of is a of . t A t n - 2 of be to no , 0: = 0, t = b1 e A or is a of of or a to a is In of . n of a Y = X 0 + 1 = or = or 0 = of 1 = of he an to or of 0 + 1 ei ei is i th 0 + 1 X Fi i at e i is or i, a b n 0 1Y i = a + b , b =C O Vx ) ( )i = 1n( )i = 1n 2=n X Yi = 1n X2i = 1n 0 1 - b he a, be a = Y of as 1 2 (10) (6) + (12) (9) + (12) (8) + (4) (3) + (12) (10) + (6) (4) + (8) (5) + (2) (2) + (18) (11) + (9) (9) + (17) (10) + (2) (2) = 917 i = 1 1 2 102 + 122 + 122 + 42 + 122 + 62 + 82 + 22 + 182 + 92 + 172 + 22 = 1350 = i 1 t be of X = n = 12, b be b = 9 1 7 - ( 1 2 ) ( 9 . 3 3 3 ) ( 6 . 5 8 3 )1 3 5 0 - ( 1 2 ) ( 9 . 3 3 3 ) 2= a = Y - b X = (= is by a a (3). a . or is to is a he of be by A t n - 2 of be of b is H 0 : 1 = 0H 1 : 1 0t = b a of on of a, b, ) = or of b is of t as t = n - 2 = 10 of in we of t 0 of = a of t is is Y he be by or as S y = ( Y i - Y ) 2 i = 1 n S S r e g = ( Y i - Y ) 2 i = 1 n S S r e s = ( Y i - Y i ) 2 i = 1 n of n Y Y o of us of on of It be of S S y = ( Y i - Y ) 2i = 1n= r 2 = S S r e g S S y = S S y - S S r e s S S y he ) be ) = ( ) = x 10 = in = ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( = S S r e g = ( Y i - Y ) 2i = 1n ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( + ( = t be r 2 = S r e s = ( Y i - Y i ) 2i = 1n of (of b) is of of in 0 0 he is n - 2 of is a of t 7). If a is t n of t2 n of of of is to = S S r e r e s / ( n - 2 )H 0 : 1 = 0H 0 : 1 0H 0 : = 0H 0 : 0 it be = is as of F = 0) = 0 of in is of t A B 8 M R 6 1 6 2 A d 3 9 S 1 3 3 A n a l y s a nc e S um re s M e a n S e s s 1 1 0 5 . 9 5 2 2 1 0 5 . 9 5 2 2 l 10 1 4 4 4 1 6 4 F = 7 0 2 7 S a n c e o f F = . 0 0 0 0 V A S I N E V a bl e b SE b ( B ) T S T Du ra 9 7 0 0 6 1 8 4 0 0 (C 1 9 3 3 4 1 2 7 2 n i i i 2 SS E = 1 4 . 9 6 4 4 / ( 1 2 - 2 )To of , it is to