Roger Gallagher owns a used car lot that deals solely in used Corvettes. He wants to develop a regression model to help predict the price he can expect to receive for the cars he owns. He collected the data found in table below describing the mileage, model year, presence of a T-top, and selling price of a number of cars he has sold in recent months. LetYrepresent the selling price,

X₁ the mileage (updated),

X₂ the model year (expressed as number of years since 1968), and

X₃ the presence (or absence) of a T-top. Note that

X₃= 1 indicates that the car has a T-Top and

X₃= 0 indicates the car does not have a T-Top.

Mileage (in thousands of miles)	Year	T-top	Price (in dollars)
115	0	1	$14,975
95	2	0	$12,100
125	4	0	$9,100
85	6	1	$16,050
77	8	1	$16,725
105	10	0	$12,400
86	11	0	$14,350
71	13	1	$17,600
55	15	0	$17,600
65	19	1	$20,600
45	20	0	$23,400
15	20	0	$26,600
23	23	1	$33,000

Determine the parameter estimates for the regression function represented by:

_i=b₀+b₁X_1i+b₂X_2i+b₃X_3i+b₄X_4i

where X_4i=X_2i² What is the estimated regression function? (Enter your answer usingX₁for X_1i, X₂for X_2i, X₃for X_3i, andX₄for X_4i. Round your numerical values to two decimal places.)