Question

With each hybrid automobile model, prepare a summary that does the following: 2. Interprets the directional of the relationship of each statistically significant independent variable with respect to the preference for the hybrid model concerned. relative importance of each of the stalisticu idependent variables. 4. Assesses the strength of the statistically significant independent variables as they join to predict the preferences for the hybrid model concerned. Coefficients Model Unstandardized Coefficients Sig Standardized Coefficients t Std. Error Beta 6.981 13.795 .000 506 3.694E-007 .001 000 101 3.383 -1.315 098 -531 -13.442 000 339 115 086 2.953 ,003 5 026 004 260 6.220 .000 -.219 042 -291 5.207 .000 .000 3.073E-006 .075 1.920 .055 .119 039 .164 3.016 .003 a. Dependent Variable: Desirability: 1 Seat Motorcycle Electric Model Summary Adjusted R Square Std Error of the Estimate 1.060 R Square R Model .516 .516b 1 266 258 266 259 1.060 3 516e 266 259 1.059 515 265 259 1.059 5 514 264 259 1.060 Coefficients Model Unstandardized Coefficients Standardized Sig. Coefficients Std. Error Beta 3.253 .280 11.604 .000 1.701E-006 .000 374 13.988 000 -.532 107 ..172 4.984 .000 1.536 .127 313 12.132 .000 5 -.014 .005 .112 -3.032 .002 -6.277E-006 .000 .123 -3.656 ,000 480 .052 .415 9.295 .000 -.564 .044 -623 -12.733 000 a. Dependent Variable: Desirability: 2 Seat Runabout Sport Electric Model Summary Adjusted R Square Std Error of the Estimate 1.172 R Square R Model 425 652 418 1 .652 .652 651d 425 1.171 419 2 425 1.171 419 424 1.171 419 4 .650 1.172 422 418 Sig. Standardized Model Unstandardized Coefficients Coefficients Std. Error Beta 3.080 .002 2.073 .673 000 000 -7.911E-007 140 -5.611 -1.479 ,126 -384 -11.768 .000 318 ,174 052 ,067 1.830 .057 -.147 -074 -2.572 010 3 -.096 005 619 -17.725 ,000 465 061 396 7.591 000 -1.137E-005 000 -178 -5.503 .000 -441 .068 306 -6.520 .000 657 056 583 11.710 .000 a. Dependent Variable: Desirability: 2 Seat Runabout Hatchback Gasoline Hybrid 8( Sya Model Summary Adjusted R Square Std Error of the Estimate 1.257 R Square R Model 500 .707 .707 707 494 500 495 1.257 2 499 495 1.256 3 Coefficients Sig. Unstandardized Coefficients Standardized Model Coefficients Std. Error E Beta .000 4.049 1.222 302 .000 .175 -5.905 -7.532E-007 .000 015 2.439 094 275 113 .003 2.948 086 131 .044 5 .000 465 11.050 055 005 .001 -6.185E-006 -.128 -3.463 .000 080 -087 044 -1.993 047 .120 .032 .152 3.770 .000 a. Dependent Variable: Desirability: 5 Seat Economy Gasoline Model Summary Adjusted R Square Std. Error of the Estimate R Square Model 507 258 249 1.259 1 .507b 507 258 250 1.258 2 258 3 251 1.257 5074 257 251 4 1.257 505* 255 250 5 1.258 병보보명송

Answer 1

The sign of beta coefficient tells the directional of the relationship of statistically significant independent variables. Positive sign suggests a direct relationship between the independent and dependent variable and negative sign depicts an inverse relationship.

The strength of the model should be judged on the basis adjusted R square since the problem statement involves including multiple variables. As we keep on adding more independent variables, R square certainly increases but adjusted R square stops increasing at one point due to the division by the number of covariates. Hence, the model with maximum adjusted R square is the most suitable model.