An experiment was carried out to investigate variation of solubility of chemical X in water. The quantities in kg that dissolved in 1 litre at various temperatures are show in the table.
Temp.°C (y)
15
20
25
30
35
50
70
Mass of X (x)
2.1
2.6
2.9
3.3
4.0
5.1
7.0
Draw a scatter diagram to show the data. Calculate the equation of the regression line of Y on x. Draw the line and plot the point (x, y)on your diagram. What quantity might be expected to dissolve at 42°C? Find the quantity that your equation indicates would dissolve at-10°C and comment on your answer. Calculate the sum of the squares of the residuals and comment on your result.
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