4. Suppose you are given the following information:

n = 6x_i= 31y_i= 172x_iy_i= 980x_i²= 205y_i²= 5162

(5)(a)Find the equations of the sample regression line. What does this line tell us?

(3)(b)The SSE = 45.2772. What does the SSE tell us in general?

(5)(c)Find S_e. What does the S_etell us in general?

(5)(d)Calculate the R². Is this linear model appropriate for explain the values of y?

(5)(e)Calculate a 95% confidence interval for ₁.

(4)(f)Test H₀ : ₁= 0 against H₁: ₁> 0 using a 5% level of significance.

(5)(g)What are the basic assumptions of the simple linear regression model?