Question

SUMMARY OUTPUT WIND Regression Statistics Mean 9.443902 Multiple R 0.481606 Standard Error 0.223117 RSquare 0.231944 Median 9.3 Adjusted R Square 0.12 2222 Mode Standard Error 1.338494 Standard Deviation 1.428644 Observations 41 Sample Variance 2.041024 Kurtosis 0.405752 ANOVA I Skewness 0.002883 of SS LMS F gnificance F Range 6.7 Regression 5 18.93614 3.787228 2.11392 0.086842 Minimum 6 Residual 35 62.70483 1.791567 Maximum 12.7 Total 40 81.64098 Sum 387.2 Count Coefficientandard Errt Stot p-value Lower 95%Upper 95% Lower 95.0% per 95.09 Intercept 14.48142 2.013495 7.19218 2.16E-08 10.3938 18.56903 10.39380452 18.56903 X Variable 1 -0.01772 0.011506 -1.54011 0.132527 -0.04108 0.005638 -0.04107781 0.005638 X Variable 2 0.001021 0.001769 0.576885 0.567709 -0.00257 0.004612 -0.002570919 0.004612 X Variable 3 -9.9E-05 0.001547 -0.06389 0.949424 -0.00324 0.003043 -0.003240 244 0.003043 X Variable 4 -0.10404 0.038166 -2.72609 0.009943 -0.18153 -0.02656 -0.181526063 -0.02656 X Variable 5 0.027355 0.020554 1.330878 0.191835 -0.01437 0.069082 -0.014372071 0.069082 41

The above two tables are related to the variable WIND. The first is a regression table with 5-variables predicting the WIND while the second table contains the Summary statistic related to WIND data. Answer the questions (choose the most appropriate answer):

I) If you need to pick two variable and increase their value by one unit. Which two would you pick in such a way that the prediction changes by the least amount?

• a. Variable 2 & Variable 4
• b. Variable 1 & Variable 2
• c. Variable 2 & Variable 3
• d. Variable 1 & Variable 5
• e. Variable 4 & Variable 5

II) Based on the table there is only one variable that should be kept in this analysis. Which one?

• a. Variable 1
• b. Variable 2
• c. Variable 3
• d. Variable 4
• e. Variable 5

III) The highest recorded WIND, based on these tables is

• a. 14.4
• b. -0.104
• c. 6
• d. 9.3
• e. None of these

please help!!

Answer 1

Solution: Here concept of Multiple linear regression is used.

Solutim ordur this uestion finst to anoswer what egreanim all we neud umderstand to Coc fficients tells Interpretation o eanion Coefficients in multivariat hehermion analysis Interphetation Coefficients variabk X of If the value increared by variable the umit then Valve othe the dapendent varuiable Wind will decrease by 2e O o1772 mit lping all others Nariablus Canstant Interpretation Coefficient variable X2 value If the the vorriable X fo nereare 1unit valve 7the dependent variable then the wind will in crease 0.00102) unit, kupiny all Comstant other Variablus Simndlarly interpret the the coefficients independent variabus cocfficients X ne can and Xs If is positive then the valve the dependet the coe ffecients variable will increare and endeperdent variable in dependent variable unit o1 the independut variabes nigative hen t value will decuare inerearing the One

from the geren at put , we me mit Now we Can avs and 3 A than increare the valve a the voriabls 2 dependent variabe the conresponding change n the ind ie ptediz Changer in the predictiom will be lost laart in amont) TnT (because corffiient x and x3 I would pick aruu and variable 3 Variable 2 keup only that variablh in our nigniticant And by teating the heanion coeffciest agersion We check the is we which model variable ignigicanet igniicane nicanc umin test to We Use t-tot valur oterst- statistic Coefficient Afr obtainin the and ip-valie in ater than the arersion Cvefficiet we find it'A p-value Level o1 ini ficance (o) thn in met gnificant 0ther turise, (ie if p-value a then) gnemim coficient in iiticat nee that only the Norw from the ien output we con coresponding urs that Valve Coeffecient to 7variable P- is Hance 4 the given = 0.05 nigniticant There fore, ony variabe 4 Variable 4 is / thin analysis kpt should be in

statistic From the table-2 in which obtain Wind data is gireh related to Can we the highust tucorded W ind ghest trecorded wind Value given in uill the maximum be tabe 2 12. 7 Maximim Highut wind recorded is 12.7