Your Practice Set – Applications and Interpretation for IBDP Mathematics
Solution
( a ) ( i ) H
0
: � � 0 A1
( ii ) H
1
: � � 0 A1
( b ) p-value � 0.0055937394 ( A1 ) for correct value p-value � 0.00559 A1
( c ) |
The null hypothesis is rejected . |
A1 |
|
As p-value � 0.05
.
|
A1 |
( d ) ( i ) a � 133.0827068 a � 133
A1 b � 25.18796992 b � 25.2
A1
( ii ) a represents the average increase of the repair cost when the age of a machine is increased by 1 year .
( e ) The estimated age
�133.0827068 ( 9 ) � 25.18796992 ( A1 ) for substitution
A1
� 1222.932331 � $ 1220
A1
( f ) ( i ) r � 0.9555151843 r � 0.956
A1
[ 2 ]
[ 2 ]
[ 2 ]
[ 3 ]
[ 2 ]
( ii )
2
R � 0.9130092674
2
R � 0.913 A1
( iii ) 91.3 % of the variability of the data is explained by the regression model .
A1 [ 3 ]
298
SE Production Limited