PLEASE HELP: Simple linear regression.
An engineer used a random sample of n = 8 observations on a response variable, y, and a
predictor variable, x, to estimate a simple linear regression model. The observations are given
in the table below, together with some quantities calculated from the data and the model fit.
X/
7
4
8
9
6
6.4
5
6.3
w
7.5
10
10.2
5.3
11
14.3
8.3
9.4
i = 7.5, y = 8.463. Sxx = 42, SST = Syy = 57.859, SSE = 7.149
Use the sample quantities to answer the following questions.
(a) Estimate the intercept Bo and slope B1 regression coefficients.
[10 points)
(b) Write the estimated regression line equation and interpret it.
[10 points)
(c) Estimate for the variance of the error term, ô?
[5 points]
(d) Compute the coefficient of determination R and explain the meaning of its value.
110 nointed