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The Perfect Doughnut Study You have been employed as a statistician for a multinational confectionery company to help them develop the perfect doughnut. You conduct
The Perfect Doughnut Study You have been employed as a statistician for a multinational confectionery company to help them develop the perfect doughnut. You conduct some market research and discover that there are a variety of factors that make for a good doughnut, including; the diameter (in millimetres); the sugar content of the dough (in grams); and whether or not it is iced, jam-filled, or has sprinkles/sugar dusted on top. Given the large budget, you are able to commission a variety of tester donuts created to your specifications (N=213), each of which you measure diligently, check the recipe (for sugar content) and categorise by topping/filling. Rather than have a single taste-tester eat every doughnut, making for confounders in time of testing, you instead dip into your pool of product testers. Each of the 213 participants tastes a different doughnut, and rates how much they liked it on a scale of 1to 10. You collect demographic information from each tester to ensure that you can control for aspects that might affect perception of taste, such as age and gender. Question: When you run an analysis to try and identify the optimal (most 'liked") type of doughnut, you are presented with the table below in your output. What would you readily conclude from this table alone? Coefficients\" Standardized Unstandardized Coefficients Coefficients Correlations Collinearity Statistics Model B Std. Error Beta t Sig Zero-order Partial Part Tolerance VIF 1 (Constant) 8.731 1.090 8.013 .000 SEX -.244 076 -.218 -3.210 .002 -.210 -222 -.218 .999 1.001 Age -.232 075 -.211 -3113 .002 -.203 -216 -.21 .999 1.001 2 (Constant) -1.568 1.549 -1.013 312 SEX -.257 .066 -.229 -3.894 .000 -.210 -.268 -.228 .987 1.013 Age -148 .065 -13 -2.271 024 -.203 -160 -133 972 1.029 Diameter (in mm) -.003 .002 -.096 -1.513 132 134 -107 -.089 .848 1.180 Sugar content (in grams) 338 041 524 8.203 .000 507 506 .480 839 1.192 3 (Constant) -1.132 1.524 -743 458 SEX -213 .068 -.190 -3.115 .002 -.210 -219 -178 871 1.149 Age -137 064 -125 -2.151 033 -.203 -153 -123 .969 1.032 Diameter (in mm) -.005 .002 -.152 -2.368 019 134 -168 -135 793 1.260 Sugar content (in grams) 323 041 .500 7.911 .000 507 495 451 812 1.232 Icing -140 .082 -120 -1.694 .092 -.264 -121 -.097 .643 1.554 Sprinkles -179 .095 -140 -1.886 .061 -.302 -135 -107 592 1.689 Jam_filling -.003 110 -.002 -.025 .980 -115 -.002 -.001 .803 1.245 a. Dependent Variable: Degree of Liking (from 1-10) Select one: a. Inthe final model, the effect of Sex is larger than the effect of doughnut Sugar content. b. Inthe final model, the effect of Age is larger than the effect of doughnut Diameter . c. Inthe final model, the effect of Age is larger than the effect of doughnut Sugar content. d. Inthe final model, the effect of doughnut Diameter is larger than the effect of Age. Clear my choice
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