25 of 28 (26 complete) For the data set shown below, complete parts (a) through

Question

25 of 28 (26 complete) For the data set shown below, complete parts (a) through (d) below. x 3 4 5 7 8p, y 5 6 7 11 14 (a) Find the estimates of Ao and B1. po bo (Round to three decimal places as needed.) P1 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 sb. (Round to three decimal places as needed.) ud) Assuming the residuals are normally distributed. test Ho P1 "0 versus H1 B1 0 at the r "005 level of signincance. Use the P-value approach Click to select your answer(s)

Explanation / Answer

(a)

B0 = - 1.070

B1 = 1.791

(b) Standard error , POint estimate = se = 0.826

(c) Sb1 = 0.199

(d) P - value for the test is = 0.003< 0.05 the significance level alpha = 0.5 so B1 is significant.

(Reject null hypothesis . There is sufficient evidence at alpha = 0.05 level of significane to conclude that a linear relation exists between x and y.

SUMMARY OUTPUT Regression Statistics Multiple R 0.981948 R Square 0.964222 Adjusted R Square 0.952296 Standard Error 0.825936 Observations 5 ANOVA df SS MS F Significance F Regression 1 55.15349 55.15349 80.85 0.002904 Residual 3 2.046512 0.682171 Total 4 57.2 Coefficients Standard Error t Stat P-value Lower 95% Intercept -1.070 1.137 -0.941 0.416 -4.688 x 1.791 0.199 8.992 0.003 1.157

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