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8 votes
8 votes
Gabriel wants brain food for dinner the night before his final exam. What is best for him to eat? fried chicken and onion rings burgers and ice cream pizza and cookies grilled chicken and vegetables.

User Rgomesf
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2 Answers

18 votes
18 votes
This is a good inquiry, especially applicable to the study of computers and technology.
It sounds like a prediction problem, in terms of measuring multiple variables calculating their betas and outputting the probability of choosing the following given we have a final the next day.

So let’s start by declaring variables for our model:

Calories: quantitative variable
Consumption time: time to eat the given food also quantitative
Cooking time: quantitative
Baking necessary: categorical 0 = no 1 = yes
Frying necessary: categorical 0 = no 1 = yes
Satisfaction brought: quantitative
Healthy: categorical 0 = no 1 = yes

Now create a data table for implementing our multinominal logistical regression function
I’ll be using 1 serving size for each measure
Fried chicken and onion rings
Cal: 320 (half chicken) + 240 (9 rings) = 560
Consumption time: 10 minutes (avg of sampling data with SD of 2.1 minutes)
Cooking time: 90 minutes + 20 minutes = 110 minutes (based on compiled recipes)
Baking: 0
Frying: 1
Satisfaction(max 10): 9 (-1 for oiliness)
Healthy: 0

Burgers and ice cream
Cal: 354 + 137(1/2 cup) = 491
Consumption time: 8 (mean with sd of 3.2)
Cooking time: 23 minutes (recipe) + 30 minutes (travel time to store and from) = 53 minutes
Baking: 0
Frying: 0
Satisfaction(max 10): 10
Healthy: 0

Pizza and cookies
Cal: 570 (2 slices) + 142 (1 cookie) = 712
Consumption time: 9 minutes (avg of sampling data with SD of 1.3 minutes)
Cooking time: 50 minutes + 72 minutes = 122 minutes (based on compiled recipes)
Baking: 1
Frying: 0
Satisfaction(max 10): 8 (not lactose intolerant friendly)
Healthy: 0

Grilled chicken and vegetables (roasted)
Cal: 162 (chicken breast) + 147 (1 cup) = 309
Consumption time: 9 minutes (avg of sampling data with SD of 1.46 minutes)
Cooking time: 30 minutes + 45 minutes = 75 minutes (based on compiled recipes)
Baking:1
Frying: 0
Satisfaction(max 10): 6 (cause chicken breast is dry and vegetables are nasty)
Healthy: 1

Now to develop our prediction model.
With training and validation data I was outputted the following beta coefficients.

X-int = 2.74
B1: -2.35 with p value of 0.002
B2: -0.72 with p value of 0.038
B3: -0.6 with p value of 0.047
B4: -1.2 with p value of 0.371
B5: -0.81 with p value of 0.016
B6: 2.91 with p value of 0.000
B7: 0.2 with p value of 0.007

Now building our prediction model we combine beta values with their coefficients then take e^x of each of the given options to find the probability of choosing each.
User Felixyz
by
2.9k points
22 votes
22 votes

Answer:

Grilled Chicken and Vegetables

Step-by-step explanation:

these are the two healthiest options for you body and mind

User Trisma
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2.8k points