The variables $x$ and $y$ satisfy the equation $y = A\left( {{b^x}} \right)$, where $A$ and $b$ are constants. The graph of ln $y$ against $x$ is a straight line passing through the points (1.4, 0.8) and (2.2, 1.2), as shown in the diagram. Find the values of $A$ and $b$, correct to 2 decimal places.

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