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Test: (Topics 2.1 - 2.12) Name: CALCULATOR SECTION: FRQ (years since 1933) P(t) 19.91 14.71 9.69 8.35 6.39 2.28 1.61 1.20 1.00 (in dollars ) 1. The purchasing power of the US currency is the amount of goods and services that can be bought with one US dollar. The function P gives the purchasing power on one US dollar based on the value of a dollar in the year 2020. The table above presents values for the function P at selected values of t, where t is the number of years since 1933. P(t) can be modeled by the exponential regression y = 21.682(0.963) , where t is the number of years since 1933. (A) (i) Find the value of P(54) predicted by the exponential regression model. (0 . /)() = (f()). Find the (ii) Find the residual value of the purchasing power of the US currency when t = 54. Does this residual value indicate that our model overestimated or underestimated the purchasing power of the US currency when t =54? Give a reason for your