Typically, blood pressure
(Y)increases with age
(x). The summary statistics of 15 individuals older than age 40 years are given in Table 1 below. [ ]
??151,27Say
Y=\beta _(0)+\beta _(1)x+\epsi lonis used to describe the relationship between
Yand
x. Answer the following questions and please round the final numerical results to two decimal places. (1). Derive the least square estimates of
\beta _(0)and
\beta _(1). (2). Suppose we know that the sum of squares of residuals is 3889.43 and that
([n,\sum_(i=1)^n x_(i)],[\sum_(i=1)^n x_(i),\sum_(i=1)^n x_(i)^(2)])^(-1)=([3.2570,-0.0586],[-0.0586,0.0011])(2-1). Please derive a
90%confidence interval for the mean value of the blood pressure for a 50 -year old person. (2-2). Please conduct a test for the significance of the straight line model at a significance level of
5%. Answer all questions please.