An ordinary least-squares line y^=b0+b1x\hat{y} = b_0 + b_1 xy^=b0+b1x is fitted to these four observations:
(2, 5),(4, 8),(6, 11),(8, 16)(2,\,5),\quad (4,\,8),\quad (6,\,11),\quad (8,\,16)(2,5),(4,8),(6,11),(8,16)
using
b1=∑(xi−xˉ)(yi−yˉ)∑(xi−xˉ)2,b0=yˉ−b1xˉb_1 = \frac{\sum (x_i - \bar{x})(y_i - \bar{y})}{\sum (x_i - \bar{x})^2}, \qquad b_0 = \bar{y} - b_1 \bar{x}b1=∑(xi−xˉ)2∑(xi−xˉ)(yi−yˉ),b0=yˉ−b1xˉ
What value does the fitted line predict at x=7x = 7x=7?
Select all that apply.
y^=13.60\hat{y} = 13.60y^=13.60
y^=11.09\hat{y} = 11.09y^=11.09
y^=12.60\hat{y} = 12.60y^=12.60
y^=31.60\hat{y} = 31.60y^=31.60