$[$Prompt $1]$ For Questions $1-4,$ we will compute the coefficients of linear regression. A dataset contains the following four points:

$D_{T_r}=\{(x_i,y_i){\}}_i=1^4=\{(0,1),(0,3),(10,10),(10,6)\}$

Because this dataset only contains one predictor $(p=1),$ we will first compute the coefficients using the formulas for univariate linear regression.

What is $\stackrel{}{x}?$ Insert vour answer as a numeric value.

$1$ point

$[$Refer to Prompt $1]$ What is $\frac{?}{\text{b}\text{a}\text{r}}(y)?$ Insert your answer as a numeric value.

$1$ point

$[$Refer to Prompt $1]$ What is hat$({)}_1?($Answer as a real number with one decimal point.$)$

$1$ point

$[$Refer to Prompt $1]$ What is hat$({)}_0?($Answer as a whole number.$)$