Mag Depth 2.58 14.9 2.79 2.4 0.63 6.2 0.68 6.7 0.91 10.5 1.12 15.1 2.21 7.2 0.57

Question

Mag Depth 2.58 14.9 2.79 2.4 0.63 6.2 0.68 6.7 0.91 10.5 1.12 15.1 2.21 7.2 0.57 4.1 1.71 13.6 2.46 16.1 0.99 12.9 2.53 10.8 2.13 9.7 0.68 2.2 0.14 14.1 1.81 16.9 0.08 11.6 2.07 9.7 2.04 4.1 0.15 4.2 0.84 9.4 0.42 17.2 1.71 4.2 1.92 13.4 1.36 19.6 0.53 12.3 2.95 10.7 2.18 10.8 2.36 15.1 1.59 16.9 0.67 6.8 2.88 19.7 1.13 11.2 2.32 7.5 1.49 15.8 0.79 19.6 1.68 7.1 2.79 3.6 2.61 14.4 0.88 19.4 1.34 5.1 1.91 18.2 1.98 19.3 0.98 2.3 2.91 9.7 2.06 8.6 0.77 3.7 2.71 9.7 1.56 12.7 1.65 4.5 Fifty matched pairs of magnitude/depth measurements randomly selected trom 10,594 earthquakes recorded in one year trom a location in southern Califomia. Find the best predicted depth of an earthquake with a magnitude of 1.9. Use a significance level of 0.05. ?Click the icon to view the earthquake measurements. The regression equation is y11.6-0.4x Round to one decimal place as needed.) Given that the earthquake has a magnitude of 1.8, the best predicted depth is 11.2 km. Round to one decimal place as needed.)

Explanation / Answer

y^ = 9.9909 + 0.52935 *x

b)

x = 1.8

y^ = 9.9909 + 0.52935 *1.8

= 10.94373

= 10.9

Regression Statistics Multiple R 0.082963531 R Square 0.006882947 Adjusted R Square -0.013806991 Standard Error 5.339825411 Observations 50 ANOVA df SS MS F Significance F Regression 1 9.485699607 9.485699607 0.332671236 0.566785636 Residual 48 1368.6593 28.51373542 Total 49 1378.145 Coefficients Standard Error t Stat P-value Lower 95% Intercept 9.990979164 1.639007546 6.095749339 1.79021E-07 6.695533624 Mag 0.529350685 0.917774219 0.576776591 0.566785636 -1.315958059

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