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Make a scatter plot. Sketch the trend line and write an equation for it.
Example Solution: 6 052 500 tonnes
Let x and y be the production and export, respectively.
| Rice Production and Export | ||||||||
|---|---|---|---|---|---|---|---|---|
| Production (1000 tonnes) | 15 875 | 19 225 | 24 964 | 32 554 | 35 600 | |||
| Export (1000 tonnes) | 59 | 1624 | 1988 | 3400 | 5100 | |||
Let's plot the points on the coordinate plane.
To write the equation of the line, we should first determine its slope. To do this, we will choose two points on the line. Looking at the graph, we can select the points (20 000,1202) and (30 000,3382). Let's use the Slope Formula!
Substitute ( 20 000,1202) & ( 30 000,3382)
Subtract terms
Calculate quotient
Now that we know the slope of the line and a point that it passes through, we can write the equation in the point-slope form. Let (20 000,1202) be our reference point. y-y_1=m(x-x_1) ⇕ [0.5em] y-1202=0.218(x-20 000) Finally, we can substitute 42 250 for x and find how much rice would be exported in 2015.
x= 42 250
Subtract term
Multiply
LHS+1202=RHS+1202
Multiply by 1000
We would expect Vietnam to export 6 052 500 tonnes of rice in 2015.