Question

Secure hittp//www.mathadc 1762 MAT-240-T3590 Applied Statistics 1BEWS Homework: 7-2 MyStatLab: Module Seven roblern Set core: 0 of 8 pts 3of10C3 complete) ▼ 14.1.5-T For the data set shown below, complete parts (a) through (d) below 3 4 5 7 8モ 356 11 14 (a) Find the estimates of Po and p Po bo- -3942 (Round to three decemal places as needed ) ˊ-b, :20 (Round 50 three decinval places as needed ) Compute the standard enor the port esinmate kr。 (Round to four decimal places as needed ) (c) Assuming the residuais are normally distrbuted detemne sp (Round to three decimal places as needed ) d) Assuming the residuals an, normally distributed test Ho β·:0 versus H. The P value for thes test is 0 001 Round to three decimal places as needed ) Make a statement regarding the null trypothess O at the a-o os arvel otsantarke use the p aue appr ach and draw a conclusion for this Sest Choose the cornect answer below Do not reject Ho 0 05 level of 5agnticance to conclude that a near rmisbon mists between x and v There is sumcent evidence at the α Question is compiete Tap on the red indicators ta see incorect answers

this question has b,c and d part. if you could show the solution to each part please.

Answer 1

We have excel output using data analysis option as :

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.991042
R Square	0.982165
Adjusted R Square	0.97622
Standard Error	0.701604
Observations	5
ANOVA
	df	SS	MS	F	Significance F
Regression	1	81.32326	81.32326	165.2079	0.001016
Residual	3	1.476744	0.492248
Total	4	82.8
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-3.94186	0.96591	-4.08098	0.026574	-7.01582	-0.8679	-7.01582	-0.8679
x	2.174419	0.169172	12.85332	0.001016	1.636039	2.712799	1.636039	2.712799

a) From output we get

$\beta _{0}=b_{0}=-3.942$

$\beta _{1}=b_{1}=2.174$

b) From output we get

Se = 0.7016

c ) From output we get

S_b1 = 0.169

d) From output ,

p value = 0.001

Here p value < $\alpha$ ( 0.05 ) , reject null hypothesis. We conclude that the linear relationship beteween x and y exists.