HW_1
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Georgia Institute Of Technology *
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Statistics
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---
title: "HW 1"
author: ""
date: "2023-08-24"
output: pdf_document
---
```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
```
## Question 2.1
### Describe a situation or problem from your job, everyday life, current events, etc., for which a classification model would be appropriate. List some (up to 5) predictors that you might use.
### Answer: One thing that I deal with daily that a classification model would be appropraite would be what jacket should I wear outside. Living in Portland Oregon one common question is will it rain today if so a rain jacket is a good idea, if it
is cold a hoodie or sweatshirt is a good idea. If it is cold and rainy then a larger rain jacket on top of a sweatshirt. If it is summer and not rainy then no jacket is ideal. If it is snowing then a ski jacket is a good idesa.
## Question 2.2
### 1.
```{r , echo=FALSE}
library(kernlab)
data = read.table("credit_card_data.txt", header=FALSE)
model <-ksvm(as.matrix(data[,1:10]),as.factor(data[,11]),type="C-
svc",kernel="vanilladot",C=100,scaled=TRUE)
a <- colSums(model@xmatrix[[1]] * model@coef[[1]])
a
a0 <- model@b
a0
pred <- predict(model,data[,1:10])
pred
sum(pred == data[,11]) / nrow(data)
```
#### From our calculations my classifier of C=100 is about 86% accurate.
### 3.
```{r pressure, echo=FALSE}
library(kknn)
k_neighbors = seq(1, 10, 1)
knn_pred <- rep(0, nrow(data))
avg_classification_accuracy = list() number_of_neighbors_considered = list()
for (j in k_neighbors){
classification_accuracy = c()
for (i in 1:nrow(data)){
model_knn = kknn(V11~V1+V2+V3+V4+V5+V6+V7+V8+V9+V10, data[-i,], data[i,], k = j, distance = 2, kernel = "optimal", scale = TRUE)
knn_pred[i] <- round(fitted.values(model_knn))
accuracy <- sum(knn_pred == data[,11]) / nrow(data)
classification_accuracy <- append(classification_accuracy, accuracy)
}
avg_classification_accuracy <- append(avg_classification_accuracy, mean(classification_accuracy))
number_of_neighbors_considered <- append(number_of_neighbors_considered, j)
#average classification accurary for all points i for this k
}
df <- data.frame(unlist(number_of_neighbors_considered), unlist(avg_classification_accuracy))
names(df) <- c("number_of_neighbors_considered", "avg_classification_accuracy")
df
#find best accuracy for all k
```
#### Based on my calculations the best value for k is 9 because it has the highest classification accuracy out of the values that I tested.
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- plse answerarrow_forward> Search itc.edu.kh v Activity Midterm Statistics(2) (2020-2021GICI31STA_GIC_Statistics_OL Say_Mardi_7-9am) Close Teams Hi DIM LIFY, when you submit this form, the owner will be able to see your name and email address. Assignments 1 Question 5 Calendar (20 Points) Files Let X1, X2, X3,..., Xn be a random sample from a Geometric distribution Geo(0), where 0 is unknown. Find the maximum likelihood estimator (MLE) of O based on this random sample. Recall that the pmf of X ~ Geo(0) is f(x; 0) = (1 – 6)*-10, (a) Ômle = X (b) Ômle = 1/X x = 0, 1, .... %3D (c) Ômle = E=, In X, (d) Ômle = 2X %3D (a) (b) (c) Apps (d) 1:50 PM A Spotify T. General (2020-2021... Details | bartleby - .. A D 4) G E ENG 12/16/2020 O 田arrow_forwardNext summer you decide to enjoy the post-Covid world by attending some baseball games. You keep the stats of your favorite players and decide to examine if there is any connection between Home Runs and Runs Batted In. a) Fill in the empty cells in the table below. (If you are concerned a portion of the table is not showing up in your word processer look at the pdf version of the exam). Home Runs Runs Batted In Player (X) (Y) x-X y-ỹ (x-X)(y-ỹ) Buxton 4 14 Sano 5 26 Donaldson 13 Kirilloff 3 14 Polanco 4 24 Кepler 6. 11 Totals 24 b) Calculate the correlation coefficient (r). Use Sx=1.414 and Sy = 6.325 while I know you can calculate standard deviations I have gone ahead and done so for you. SHOW YOUR WORK. (Write down the equation and plug in the correct values, the correct answer alone will not get full points.) r = C.) Let's say you want to predict how many Runs Batted In a player would have based on their Home Runs. Write down the general regression equation we could use to do so.arrow_forward
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- A 7th PE/Health Dickinson Mani PDF Anabelle Ra x M Benchmark-anabelle ramirez Aftachn NTC58nwQjmfMrrgKZkIR2Uy4rSl_dqzuhLtvOg/viewform?hr_submission=Chk Cell Qu ment: PDF: Anabelle Ramirez - arch 7th Writing BM.pdf extensioneoecaobfmibooaid Achieve3000: Lesson G Classroom: manag. Shieve3000: Level. 6) The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic inches? 8 in 8 in 6 in 24 in 10 in pur answer The net of a square pyramid and its dimensions are shown in the diagram. 图arrow_forwardOnly need (A) needs an answerarrow_forwardhow do I find the propability in biostatisticsarrow_forward
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