Part 13- Simple linear regression - The University of Jordan

University of Jordan Agricultural Statistic (605150)Faculty of AgricultureDr. Amer SalmanDept. of Agri. Econ. & Agribusiness2S ˆ β =S bˆ11=∑2ei×n − k∑1x2i0.03667 = 0.1911.1= ×5 − 2110= 0.03667obˆo− b=Sboo=− 0.1−0= −0.1570.635tcal66bˆ1− b= Sb0.7 − 0=0.19111=13.tcal025tα / 2 0.(Two tailed) at 5 % significance level, df (n – k) = (5 – 2) = 3ttab=3.182- t tabttabRejectHoAcceptHoRejectHo-3.182-0.157 0 3.182 3.66to calt 1 calt1; reject Ho , accept Ha ; t 1is significantto; accept Ho , reject Ha ; t ois insignificanttcal> t tabR2=r = R∑∑e2i1−2yi2=1.1≅ 1−= 0.816 ≅ 81.67%60.8167 = 0.9037- 16 -