For the data set shown below, complete parts (a) through (d) below. 3 4 5 7 8p x
ID: 3172137 • Letter: F
Question
For the data set shown below, complete parts (a) through (d) below. 3 4 5 7 8p x y 3 6 8 13 14 (a) Find the estimates of Bo and B1 Ao Mbo (Round to three decimal places as needed.) B1 b1 (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for o. (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test Ho: B1 E0 versus H1: B1 0 at the o E0.05 level of significance. Use the P-value approach. The P-value for this test is (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below.Explanation / Answer
from above
a)b1= Sxy/Sxx=2.233
bo=Ybar-b1*Xbar =-3.256
b) Se =1.06977
c)Sb1=Se/(Sxx)1/2=0.144
d) test stat t=(b1/std error )=2.233/0.144 =15.5045
for which p value =0.0000
reject Ho
option D
x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 3.00 3.00 5.76 33.64 33.64 3.44186 0.19524067 4.00 6.00 1.96 7.84 13.44 5.674419 0.10600324 5.00 8.00 0.16 0.64 3.04 7.906977 0.00865333 7.00 13.00 2.56 17.64 -7.56 12.37209 0.39426717 8.00 14.00 6.76 27.04 -4.16 14.60465 0.36560303 Total 27.00 44.00 17.20 86.80 38.40 1.06976744 mean 5.40 8.80 SSx Ssy Sxy