For the data set shown below, complete parts (a) through (d) below y 4 5 8 12 13

Question

For the data set shown below, complete parts (a) through (d) below y 4 5 8 12 13 (a) Find the estimates of ?0 and ?1. Po (Round to three decimal places as needed.) ?1 b1-|-] (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for ?. (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s, Sp Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test Ho: ß1-0 versus HI The P-value for this test is 0000 (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test A. Reject Ho . There is not sufficient evidence at the ? : 0.05 level of significanc O B. Do not reject Ho . There is sufficient evidence at the ?-0.05 level of significa ° C. Do not reject Ho. There is not sufficient evidence at the 0.05 level of sign D. Reject Ho . There is sufficient evidence at the #0.05 level of significance to

Explanation / Answer

Reg eq is

y=-2.023+1.930x

solutionA:

b0=-2.023

b1=1.930

Solutionb:

Se=

Se=0.61(round to 2 decimal)

Solutiond:

H0:slope=0

H1:slope not=0

t=

13.12345

p=0.000956

p=0.000

Reject Ho

there is sufficient evidence to supprt the claim that they are linearly related

SUMMARY OUTPUT Regression Statistics Multiple R 0.991403 R Square 0.982879 Adjusted R Square 0.977172 Standard Error 0.609994 Observations 5 ANOVA df SS MS F Significance F Regression 1 64.08372 64.08372 172.225 0.000956 Residual 3 1.116279 0.372093 Total 4 65.2 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -2.02326 0.839789 -2.40924 0.095082 -4.69584 0.649329 x 1.930233 0.147083 13.12345 0.000956 1.46215 2.398315

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