(4) The article “Characterization of HighwayRunoff in Austin, Texas,Area”1gavea scatterplot, along with the regression equation that modeled runoff by rainfall (with units of measurements volumes of waterinm3)foraparticularlocation. Alloutputneededforthisisincludedbelow.

(a) Statethepopulationmodel;identifyallcomponentsofthemodel

(b) Does the relationship between rainfall volume and runoff volume appear to be linear? Describe thescatterplot

(c) Statetheregression equation(withthevaluesfromtheregressionoutput)

(d) Interprettheslopeandintercept incontext.Ifonedoesnotmakelogicalsense,statewhynot.

(e) Using the regression equation, estimate the runoff volume for rainfall amounts of 5, 47, and 127 m3

(f) Calculate the residuals for each estimated value. The observed values of y for x= 5,47,127 are (respectively): y= 4,46,100

(g) Conductatestofsignificancefortheslope(resultsfromRoutput).Listhypotheses,teststatistic,

pvalue, result, and conclusion.

(h) List the values of rand R2(rwill haveto be computed). Interpret both values in context. What dotheytellusaboutthemodel?

(i) Listassumptionsofregression.Checktheassumptions(brieflydescribehoweachassumptionis met ornot).

(j) Overall, what is your assessment of the model. Good, bad? Use results from significance test, r,R2,and assumptionstomakethisassessment.

Assignment status: Already Solved By Our Experts

(USA, **AUS**, UK & CA PhD. Writers)