#4.For the data set shown below, complete parts (a) through (d) below. x 20 30 4
ID: 3223827 • Letter: #
Question
#4.For the data set shown below, complete parts (a) through (d) below.
x 20 30 40 50 60
y 100 93 89 81 68
(a) Use technology to find the estimates of beta 0 and beta 1.
beta 0 ~ b 0=_____(Round to two decimal places as needed.)
beta 1 ~ b 1=_____(Round to two decimal places as needed.)
(b) Use technology to compute the standard error, the point estimate for o' (o with a little tag on the top)
S e =_____(Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, use technology to determine Sb1
Sb1 =_____ (Round to four decimal places as required)
(d) Assuming the residuals are normally distributed, test H0: B1 =0 versus H1:B1 =/ at the a = 0.005 level of significance. Use the P - value approach.
The P - value for this test is _____ (Round to three decimal places as needed.
Explanation / Answer
(a) • = 116.60 and b1 = -0.76
(b) 2.8983
(c) 0.0917
(d) 0.004
Regression Analysis r² 0.958 n 5 r -0.979 k 1 Std. Error 2.898 Dep. Var. y ANOVA table Source SS df MS F p-value Regression 577.6000 1 577.6000 68.76 .0037 Residual 25.2000 3 8.4000 Total 602.8000 4 Regression output confidence interval variables coefficients std. error t (df=3) p-value 95% lower 95% upper std. coeff. Intercept 116.6000 0.000 x -0.7600 0.0917 -8.292 .0037 -1.0517 -0.4683 -0.979Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.