A machine with specialized bolt manufacturing components labelled A to H produces bolts with varying weight Y grams, when the volume of the raw metal used is X cm³. GH A Manufacturing Component Bolt D E F X 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 Y 3.9 4.4 5.8 6.6 7.0 7.1 7.3 7.7 (a) Plot a scatter diagram for weight Y, against volume X (b) Calculate the equation of the least squares regression line Yon X (c) Estimate the weight of a bolt produced from a component when the volume of the metal used is 3.2cm3

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A machine with specialized bolt manufacturing components labelled A to H
produces bolts with varying weight Y grams, when the volume of the raw metal
used is X cm³.
G H
A
Manufacturing
Component
Bolt
B
D
Е F
1.0
1.5 2.0
|2.5
3.0
3.5
| 4.0 4.5
Y
3.9
4.4
5.8
6.6
7.0
7.1
7.3 7.7
(а)
Plot a scatter diagram for weight Y, against volume X
(b) Calculate the equation of the least squares regression line Yon X
(c) Estimate the weight of a bolt produced from a component when the volume
of the metal used is 3.2cm3
(d) Indicate why it may not be appropriate to use your equation to predict the
weight of a metal of volume 20cm³.
Transcribed Image Text:A machine with specialized bolt manufacturing components labelled A to H produces bolts with varying weight Y grams, when the volume of the raw metal used is X cm³. G H A Manufacturing Component Bolt B D Е F 1.0 1.5 2.0 |2.5 3.0 3.5 | 4.0 4.5 Y 3.9 4.4 5.8 6.6 7.0 7.1 7.3 7.7 (а) Plot a scatter diagram for weight Y, against volume X (b) Calculate the equation of the least squares regression line Yon X (c) Estimate the weight of a bolt produced from a component when the volume of the metal used is 3.2cm3 (d) Indicate why it may not be appropriate to use your equation to predict the weight of a metal of volume 20cm³.
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