From the below data perform a multiple regression. What is the R² ? How much of this R² can be attributed to chance?

Market Price (thousands of dollars) y		Total Number of Square Feet x1		Age of Warehouse (Years) x2
63.0		1,605		35
65.1		2,489		45
69.9		1,553		20
76.8		2,404		32
73.9		1,884		25
77.9		1,558		14
74.9		1,748		8
78.0		3,105		10
79.0		1,682		28
83.4		2,470		30

*(Round your answers to 4 decimal places, e.g. 1.7578.)
**(Round your answers to 3 decimal places, e.g. 1.757.)

The regression equation for given model is: ŷ = enter an appropriate value rounded to 4 decimal places * + enter an appropriate value rounded to 4 decimal places * x₁ + enter an appropriate value rounded to 4 decimal places * x₂


R² = enter an appropriate value rounded to 3 decimal places ** and expected value of R² = enter an appropriate value rounded to 3 decimal places **.

Thus, we select an option can expect/can't expect to find R² close to the true value of enter an appropriate value rounded to 3 decimal places ** purely by chance.