Representative data read from a plot on runoff sediment concentration for plots

Question

Representative data read from a plot on runoff sediment concentration for plots with varying amounts of grazing damage, measured by the percentage of bare ground m the Plot are given for steeply sloped plots. (a) Using the data for steeply sloped plow, find the equation of the least-squares line for predicting Y runoff sediment concentration using x = percentage of bare ground. (Give the answer to two decimal places) (b) What would you predict runoff sediment concentrate to be for a steeply sloped plot with 16% bare ground? (Round your answer to the nearest whole number.)

Explanation / Answer

Sol:

performed regression in excel

x--bareground

y---concentration

concentration=71.89+23.54(bareground)

y^=71.89+23.54(x)

solutionb:

when x=16 y^=?

substitute ioon the regression eq obtained

y^=71.89+23.54(16)

   =448.53

y^ =449

449

SUMMARY OUTPUT Regression Statistics Multiple R 0.921586 R Square 0.849321 Adjusted R Square 0.832579 Standard Error 180.0117 Observations 11 ANOVA df SS MS F Significance F Regression 1 1643853 1643853 50.72962 5.53E-05 Residual 9 291637.8 32404.2 Total 10 1935491 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 71.89189 114.6161 0.627241 0.546083 -187.388 331.1714 bareground 23.53925 3.304927 7.122473 5.53E-05 16.06299 31.01552

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