DATA 605 - Week 12 Discssion
Eddie Xu
2024-04-15
Using R, build a multiple regression model for data that interests you. Include in this model at least one quadratic term, one dichotomous term, and one dichotomous vs. quantitative interaction term. Interpret all coefficients. Conduct residual analysis. Was the linear model appropriate? Why or why not?
Load Dependencies
library(tidyverse)## Warning: package 'dplyr' was built under R version 4.2.3## Warning: package 'stringr' was built under R version 4.2.3library(ggplot2)
library(ggfortify)Load Data
# load data
raw_data <- data.frame(read_csv("Resources/onlinefoods.csv"))
head(raw_data)## Age Gender Marital.Status Occupation Monthly.Income
## 1 20 Female Single Student No Income
## 2 24 Female Single Student Below Rs.10000
## 3 22 Male Single Student Below Rs.10000
## 4 22 Female Single Student No Income
## 5 22 Male Single Student Below Rs.10000
## 6 27 Female Married Employee More than 50000
## Educational.Qualifications Family.size latitude longitude Pin.code Output
## 1 Post Graduate 4 12.9766 77.5993 560001 Yes
## 2 Graduate 3 12.9770 77.5773 560009 Yes
## 3 Post Graduate 3 12.9551 77.6593 560017 Yes
## 4 Graduate 6 12.9473 77.5616 560019 Yes
## 5 Post Graduate 4 12.9850 77.5533 560010 Yes
## 6 Post Graduate 2 12.9299 77.6848 560103 Yes
## Feedback ...13
## 1 Positive Yes
## 2 Positive Yes
## 3 Negative Yes
## 4 Positive Yes
## 5 Positive Yes
## 6 Positive YesData Wrangling
food_data <- raw_data %>%
select(c(Age, Gender, Marital.Status, Occupation, Monthly.Income, Educational.Qualifications, Family.size, Feedback))
head(food_data)## Age Gender Marital.Status Occupation Monthly.Income
## 1 20 Female Single Student No Income
## 2 24 Female Single Student Below Rs.10000
## 3 22 Male Single Student Below Rs.10000
## 4 22 Female Single Student No Income
## 5 22 Male Single Student Below Rs.10000
## 6 27 Female Married Employee More than 50000
## Educational.Qualifications Family.size Feedback
## 1 Post Graduate 4 Positive
## 2 Graduate 3 Positive
## 3 Post Graduate 3 Negative
## 4 Graduate 6 Positive
## 5 Post Graduate 4 Positive
## 6 Post Graduate 2 PositiveVariables:
- Age: Age of the customer.
- Gender: Gender of the customer.
- Marital Status: Marital status of the customer.
- Occupation: Occupation of the customer.
- Monthly Income: Monthly income of the customer.
- Educational Qualifications: Educational qualifications of the customer.
- Family Size: Number of individuals in the customer’s family.
- Feedback: Feedback provided by the customer after receiving the order.
Linear Regression
delivery_lm <- lm(Age ~ Feedback, data = food_data)
summary(delivery_lm)##
## Call:
## lm(formula = Age ~ Feedback, data = food_data)
##
## Residuals:
## Min 1Q Median 3Q Max
## -6.8732 -2.3502 -0.3502 1.6498 7.6498
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 25.8732 0.3466 74.652 < 2e-16 ***
## FeedbackPositive -1.5231 0.3834 -3.972 8.5e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.92 on 386 degrees of freedom
## Multiple R-squared: 0.03927, Adjusted R-squared: 0.03678
## F-statistic: 15.78 on 1 and 386 DF, p-value: 8.497e-05Quadratic Term
The quadratic term would be the family size. The interaction between the age and the feedback can be influenced by the family size.
new_data <- food_data %>%
mutate(family_squared = Family.size ^ 2)
new_data## Age Gender Marital.Status Occupation Monthly.Income
## 1 20 Female Single Student No Income
## 2 24 Female Single Student Below Rs.10000
## 3 22 Male Single Student Below Rs.10000
## 4 22 Female Single Student No Income
## 5 22 Male Single Student Below Rs.10000
## 6 27 Female Married Employee More than 50000
## 7 22 Male Single Student No Income
## 8 24 Female Single Student No Income
## 9 23 Female Single Student No Income
## 10 23 Female Single Student No Income
## 11 22 Female Single Student No Income
## 12 23 Male Single Student Below Rs.10000
## 13 23 Male Single Student No Income
## 14 21 Male Single Student No Income
## 15 23 Female Single Self Employeed 10001 to 25000
## 16 24 Female Single Student No Income
## 17 28 Female Single Employee 25001 to 50000
## 18 23 Female Single Student No Income
## 19 25 Male Single Student No Income
## 20 21 Female Single Student Below Rs.10000
## 21 24 Male Single Student No Income
## 22 22 Male Single Student No Income
## 23 22 Female Single Student No Income
## 24 23 Male Single Student No Income
## 25 21 Male Single Student Below Rs.10000
## 26 25 Male Single Student No Income
## 27 22 Female Single Student No Income
## 28 22 Male Single Student No Income
## 29 23 Female Single Employee 10001 to 25000
## 30 22 Male Single Student Below Rs.10000
## 31 22 Female Single Employee 10001 to 25000
## 32 22 Male Single Student No Income
## 33 25 Male Married Employee More than 50000
## 34 22 Female Single Student 10001 to 25000
## 35 22 Female Single Student No Income
## 36 25 Male Single Student 10001 to 25000
## 37 25 Male Single Student No Income
## 38 32 Female Prefer not to say House wife No Income
## 39 23 Female Single Student No Income
## 40 23 Female Single Student No Income
## 41 30 Male Married Self Employeed More than 50000
## 42 23 Male Single Student No Income
## 43 23 Male Single Student No Income
## 44 22 Female Single Student No Income
## 45 22 Male Single Student No Income
## 46 27 Female Married Self Employeed 10001 to 25000
## 47 24 Female Single Student No Income
## 48 23 Male Single Student No Income
## 49 23 Female Single Student No Income
## 50 22 Female Single Student 10001 to 25000
## 51 23 Female Single Student No Income
## 52 23 Female Single Student No Income
## 53 24 Male Single Student No Income
## 54 25 Male Single Student No Income
## 55 22 Male Single Student No Income
## 56 28 Female Married Student No Income
## 57 22 Female Single Student No Income
## 58 24 Female Single Student No Income
## 59 31 Male Married Employee More than 50000
## 60 25 Male Single Student No Income
## 61 23 Male Single Student No Income
## 62 22 Male Single Student No Income
## 63 23 Male Single Student 25001 to 50000
## 64 23 Male Single Student No Income
## 65 23 Female Single Student No Income
## 66 25 Male Single Student No Income
## 67 24 Male Single Employee 10001 to 25000
## 68 23 Female Single Student No Income
## 69 23 Female Single Student No Income
## 70 24 Female Married Employee More than 50000
## 71 22 Male Single Student No Income
## 72 24 Female Single Student 10001 to 25000
## 73 25 Female Single Student No Income
## 74 23 Male Single Student No Income
## 75 26 Male Single Student No Income
## 76 24 Female Single Student 25001 to 50000
## 77 26 Male Single Student No Income
## 78 21 Male Single Student No Income
## 79 22 Female Single Student No Income
## 80 24 Male Single Student No Income
## 81 24 Male Single Student 10001 to 25000
## 82 23 Female Single Student No Income
## 83 23 Male Single Student No Income
## 84 22 Male Single Student No Income
## 85 23 Male Single Student No Income
## 86 24 Female Single Student No Income
## 87 24 Male Single Student No Income
## 88 25 Male Single Student No Income
## 89 25 Male Single Student No Income
## 90 28 Male Married Self Employeed 10001 to 25000
## 91 27 Female Prefer not to say Employee 25001 to 50000
## 92 26 Male Single Self Employeed 10001 to 25000
## 93 22 Male Single Student No Income
## 94 24 Female Single Student No Income
## 95 23 Male Single Student No Income
## 96 25 Male Single Student No Income
## 97 23 Female Single Student No Income
## 98 23 Female Single Student No Income
## 99 26 Male Married Employee 25001 to 50000
## 100 32 Female Married House wife No Income
## 101 24 Female Single Student 10001 to 25000
## 102 23 Male Single Student No Income
## 103 22 Female Single Employee 10001 to 25000
## 104 24 Female Single Student No Income
## 105 26 Male Single Employee 25001 to 50000
## 106 28 Male Married Employee More than 50000
## 107 26 Male Single Employee More than 50000
## 108 25 Male Single Student No Income
## 109 25 Male Single Employee Below Rs.10000
## 110 18 Male Single Student No Income
## 111 21 Male Single Student No Income
## 112 25 Male Single Student No Income
## 113 25 Male Single Student Below Rs.10000
## 114 23 Female Single Student No Income
## 115 23 Male Single Employee 10001 to 25000
## 116 25 Female Married Employee 25001 to 50000
## 117 31 Female Married House wife No Income
## 118 24 Male Prefer not to say Self Employeed More than 50000
## 119 32 Female Married Employee 25001 to 50000
## 120 25 Male Single Employee 25001 to 50000
## 121 27 Female Married Self Employeed More than 50000
## 122 26 Male Single Self Employeed 25001 to 50000
## 123 26 Female Single Self Employeed 25001 to 50000
## 124 32 Male Married Employee More than 50000
## 125 24 Male Married Self Employeed More than 50000
## 126 27 Female Married Self Employeed 25001 to 50000
## 127 23 Male Single Student No Income
## 128 25 Male Single Student No Income
## 129 23 Male Single Student No Income
## 130 23 Female Single Student No Income
## 131 28 Male Married Employee More than 50000
## 132 32 Female Married Employee More than 50000
## 133 23 Male Single Student No Income
## 134 19 Male Single Student No Income
## 135 19 Female Single Student No Income
## 136 27 Female Married Employee 25001 to 50000
## 137 25 Male Single Self Employeed 25001 to 50000
## 138 33 Male Married Employee More than 50000
## 139 26 Female Single Employee More than 50000
## 140 22 Female Single Student Below Rs.10000
## 141 23 Male Single Student No Income
## 142 22 Female Single Student No Income
## 143 25 Male Married Employee 25001 to 50000
## 144 30 Female Married House wife No Income
## 145 24 Male Single Student No Income
## 146 25 Male Single Employee 10001 to 25000
## 147 23 Male Single Student More than 50000
## 148 24 Female Single Student No Income
## 149 32 Male Married Employee 10001 to 25000
## 150 22 Male Single Student No Income
## 151 23 Male Single Student More than 50000
## 152 23 Female Single Student No Income
## 153 20 Male Single Student No Income
## 154 21 Male Single Student No Income
## 155 24 Female Married Self Employeed 10001 to 25000
## 156 23 Female Single Student No Income
## 157 25 Male Single Employee 25001 to 50000
## 158 32 Female Married House wife No Income
## 159 27 Male Married Employee More than 50000
## 160 20 Female Single Student No Income
## 161 21 Male Single Student No Income
## 162 26 Male Single Employee More than 50000
## 163 25 Male Single Employee 10001 to 25000
## 164 26 Male Single Employee 25001 to 50000
## 165 26 Female Married Employee 25001 to 50000
## 166 27 Male Single Employee More than 50000
## 167 27 Female Single Student No Income
## 168 24 Female Single Student No Income
## 169 25 Male Married Self Employeed More than 50000
## 170 20 Male Single Student No Income
## 171 22 Male Single Student No Income
## 172 26 Female Married Student Below Rs.10000
## 173 27 Male Prefer not to say Employee 25001 to 50000
## 174 25 Female Single Student No Income
## 175 24 Male Single Employee Below Rs.10000
## 176 23 Female Single Employee 10001 to 25000
## 177 22 Male Single Student No Income
## 178 26 Male Married Self Employeed More than 50000
## 179 26 Male Single Employee Below Rs.10000
## 180 25 Female Married Self Employeed 25001 to 50000
## 181 29 Female Married Employee More than 50000
## 182 23 Male Single Student Below Rs.10000
## 183 22 Female Single Employee 25001 to 50000
## 184 22 Male Single Student No Income
## 185 32 Female Married House wife No Income
## 186 28 Male Married Employee More than 50000
## 187 22 Male Single Student No Income
## 188 25 Male Single Employee 10001 to 25000
## 189 26 Female Married Employee 25001 to 50000
## 190 31 Male Married Self Employeed More than 50000
## 191 24 Male Single Student No Income
## 192 24 Male Single Employee 25001 to 50000
## 193 31 Female Married Employee More than 50000
## 194 26 Male Single Employee 25001 to 50000
## 195 24 Female Married Self Employeed More than 50000
## 196 22 Female Single Student No Income
## 197 19 Male Single Student No Income
## 198 25 Male Married Employee More than 50000
## 199 23 Female Married House wife No Income
## 200 23 Female Single Student No Income
## 201 23 Male Single Student No Income
## 202 24 Male Single Student No Income
## 203 22 Female Single Employee 25001 to 50000
## 204 26 Male Married Employee More than 50000
## 205 25 Female Single Student No Income
## 206 20 Male Single Student No Income
## 207 29 Male Married Employee 25001 to 50000
## 208 23 Female Single Student No Income
## 209 25 Male Single Self Employeed More than 50000
## 210 29 Female Married Employee 25001 to 50000
## 211 27 Male Married Self Employeed 25001 to 50000
## 212 25 Male Single Self Employeed 10001 to 25000
## 213 21 Male Single Student No Income
## 214 23 Male Single Student No Income
## 215 24 Female Single Employee 10001 to 25000
## 216 32 Male Married Self Employeed 10001 to 25000
## 217 28 Male Married Employee 25001 to 50000
## 218 26 Male Single Employee 10001 to 25000
## 219 31 Female Married House wife No Income
## 220 27 Female Married Self Employeed 25001 to 50000
## 221 21 Female Single Student No Income
## 222 23 Female Single Student No Income
## 223 26 Male Married Employee 10001 to 25000
## 224 32 Male Married Employee More than 50000
## 225 25 Female Married Student No Income
## 226 28 Male Single Self Employeed 10001 to 25000
## 227 21 Female Single Student No Income
## 228 24 Male Single Student No Income
## 229 26 Female Married Self Employeed 10001 to 25000
## 230 32 Male Married Employee 25001 to 50000
## 231 29 Male Single Self Employeed More than 50000
## 232 21 Male Single Student No Income
## 233 24 Female Single Self Employeed 25001 to 50000
## 234 26 Male Prefer not to say Self Employeed More than 50000
## 235 25 Male Married Employee More than 50000
## 236 29 Male Single Employee 25001 to 50000
## 237 22 Male Single Student No Income
## 238 24 Male Single Student No Income
## 239 27 Male Married Employee 25001 to 50000
## 240 23 Female Single Student No Income
## 241 32 Male Married Employee More than 50000
## 242 22 Female Single Student No Income
## 243 28 Male Married Employee 25001 to 50000
## 244 23 Female Single Student No Income
## 245 30 Male Married Self Employeed More than 50000
## 246 21 Male Single Student No Income
## 247 26 Female Married Employee Below Rs.10000
## 248 25 Male Single Self Employeed More than 50000
## 249 31 Male Prefer not to say Employee Below Rs.10000
## 250 23 Female Single Employee 25001 to 50000
## 251 29 Female Married Employee 25001 to 50000
## 252 21 Male Single Student No Income
## 253 20 Male Single Student No Income
## 254 22 Male Single Employee 10001 to 25000
## 255 30 Female Married House wife No Income
## 256 27 Male Married Self Employeed More than 50000
## 257 23 Male Single Student No Income
## 258 30 Male Married Self Employeed 25001 to 50000
## 259 23 Male Single Student No Income
## 260 28 Female Married Employee 25001 to 50000
## 261 30 Male Married Self Employeed More than 50000
## 262 24 Female Married Employee 25001 to 50000
## 263 21 Male Single Student No Income
## 264 23 Female Prefer not to say Employee 10001 to 25000
## 265 25 Male Married Self Employeed More than 50000
## 266 24 Female Single Employee 25001 to 50000
## 267 26 Male Married Employee 10001 to 25000
## 268 25 Female Single Employee 25001 to 50000
## 269 22 Male Single Student 25001 to 50000
## 270 26 Female Single Employee 25001 to 50000
## 271 23 Male Single Employee 10001 to 25000
## 272 21 Female Single Employee Below Rs.10000
## 273 25 Male Married Self Employeed 25001 to 50000
## 274 24 Female Married Employee 10001 to 25000
## 275 22 Male Married Student No Income
## 276 23 Female Single Student No Income
## 277 24 Male Married Employee More than 50000
## 278 22 Female Single Student No Income
## 279 30 Male Married Employee More than 50000
## 280 23 Female Prefer not to say Employee 10001 to 25000
## 281 19 Male Single Student No Income
## 282 21 Female Single Student No Income
## 283 23 Male Single Student No Income
## 284 24 Female Single Employee 25001 to 50000
## 285 26 Female Married Employee 10001 to 25000
## 286 26 Female Single Student No Income
## 287 25 Female Single Student 10001 to 25000
## 288 28 Female Married Employee 25001 to 50000
## 289 25 Female Single Student No Income
## 290 20 Female Single Student No Income
## 291 27 Female Married Self Employeed More than 50000
## 292 25 Female Married Employee 25001 to 50000
## 293 24 Female Single Student No Income
## 294 25 Female Married Employee More than 50000
## 295 25 Female Prefer not to say Employee 25001 to 50000
## 296 24 Female Married Student Below Rs.10000
## 297 24 Male Single Student No Income
## 298 22 Male Single Employee 10001 to 25000
## 299 28 Male Single Employee 25001 to 50000
## 300 25 Female Single Employee More than 50000
## 301 22 Male Single Student Below Rs.10000
## 302 22 Female Single Student No Income
## 303 22 Male Single Student Below Rs.10000
## 304 27 Female Married Employee More than 50000
## 305 22 Male Single Student No Income
## 306 24 Female Single Student No Income
## 307 23 Female Single Student No Income
## 308 23 Female Single Student No Income
## 309 22 Female Single Student No Income
## 310 23 Male Single Student Below Rs.10000
## 311 32 Male Married Employee More than 50000
## 312 25 Female Married Student No Income
## 313 28 Male Single Self Employeed 10001 to 25000
## 314 21 Female Single Student No Income
## 315 24 Male Single Student No Income
## 316 26 Female Married Self Employeed 10001 to 25000
## 317 32 Male Married Employee 25001 to 50000
## 318 29 Male Single Self Employeed More than 50000
## 319 21 Male Single Student No Income
## 320 24 Female Single Self Employeed 25001 to 50000
## 321 26 Male Prefer not to say Self Employeed More than 50000
## 322 21 Male Married Employee More than 50000
## 323 29 Male Single Employee 25001 to 50000
## 324 22 Male Single Student No Income
## 325 24 Male Single Student No Income
## 326 27 Male Married Employee 25001 to 50000
## 327 23 Female Single Student No Income
## 328 32 Male Married Employee More than 50000
## 329 22 Female Single Student No Income
## 330 22 Female Single Employee 25001 to 50000
## 331 26 Male Married Employee More than 50000
## 332 25 Female Single Student No Income
## 333 20 Male Single Student No Income
## 334 29 Male Married Employee 25001 to 50000
## 335 23 Female Single Student No Income
## 336 25 Male Single Self Employeed More than 50000
## 337 29 Female Married Employee 25001 to 50000
## 338 27 Male Married Self Employeed 25001 to 50000
## 339 25 Male Single Self Employeed 10001 to 25000
## 340 21 Male Single Student No Income
## 341 23 Male Single Student No Income
## 342 24 Female Single Employee 10001 to 25000
## 343 22 Male Married Self Employeed 10001 to 25000
## 344 28 Male Married Employee 25001 to 50000
## 345 26 Male Single Employee 10001 to 25000
## 346 22 Female Single Employee 25001 to 50000
## 347 26 Male Married Employee More than 50000
## 348 25 Female Single Student No Income
## 349 20 Male Single Student No Income
## 350 29 Male Married Employee 25001 to 50000
## 351 23 Female Single Student No Income
## 352 25 Male Single Self Employeed More than 50000
## 353 29 Female Married Employee 25001 to 50000
## 354 27 Male Married Self Employeed 25001 to 50000
## 355 25 Male Single Self Employeed 10001 to 25000
## 356 21 Male Single Student No Income
## 357 24 Male Single Student No Income
## 358 26 Female Married Self Employeed 10001 to 25000
## 359 32 Male Married Employee 25001 to 50000
## 360 29 Male Single Self Employeed More than 50000
## 361 21 Male Single Student No Income
## 362 24 Female Single Self Employeed 25001 to 50000
## 363 26 Male Prefer not to say Self Employeed More than 50000
## 364 31 Male Married Employee More than 50000
## 365 29 Male Single Employee 25001 to 50000
## 366 22 Male Single Student No Income
## 367 24 Male Single Student No Income
## 368 27 Male Married Employee 25001 to 50000
## 369 23 Female Single Student No Income
## 370 30 Male Married Employee More than 50000
## 371 22 Female Single Student No Income
## 372 28 Male Married Employee 25001 to 50000
## 373 23 Female Single Student No Income
## 374 30 Male Married Self Employeed More than 50000
## 375 21 Male Single Student No Income
## 376 26 Female Married Employee Below Rs.10000
## 377 25 Male Single Self Employeed More than 50000
## 378 31 Male Prefer not to say Employee Below Rs.10000
## 379 23 Female Single Employee 25001 to 50000
## 380 22 Male Single Student Below Rs.10000
## 381 27 Female Married Employee More than 50000
## 382 22 Male Single Student No Income
## 383 24 Female Single Student No Income
## 384 23 Female Single Student No Income
## 385 23 Female Single Student No Income
## 386 22 Female Single Student No Income
## 387 23 Male Single Student Below Rs.10000
## 388 23 Male Single Student No Income
## Educational.Qualifications Family.size Feedback family_squared
## 1 Post Graduate 4 Positive 16
## 2 Graduate 3 Positive 9
## 3 Post Graduate 3 Negative 9
## 4 Graduate 6 Positive 36
## 5 Post Graduate 4 Positive 16
## 6 Post Graduate 2 Positive 4
## 7 Graduate 3 Positive 9
## 8 Post Graduate 3 Positive 9
## 9 Post Graduate 2 Positive 4
## 10 Post Graduate 4 Positive 16
## 11 Post Graduate 5 Positive 25
## 12 Post Graduate 2 Negative 4
## 13 Post Graduate 5 Positive 25
## 14 Graduate 4 Positive 16
## 15 Post Graduate 5 Positive 25
## 16 Post Graduate 6 Positive 36
## 17 Post Graduate 2 Positive 4
## 18 Graduate 3 Negative 9
## 19 Graduate 4 Negative 16
## 20 Post Graduate 1 Positive 1
## 21 Post Graduate 3 Positive 9
## 22 Post Graduate 4 Positive 16
## 23 Graduate 4 Positive 16
## 24 Graduate 4 Positive 16
## 25 Post Graduate 3 Positive 9
## 26 Post Graduate 3 Positive 9
## 27 Post Graduate 5 Positive 25
## 28 Post Graduate 3 Positive 9
## 29 Graduate 3 Positive 9
## 30 Post Graduate 4 Positive 16
## 31 Graduate 5 Positive 25
## 32 Post Graduate 4 Positive 16
## 33 Ph.D 4 Positive 16
## 34 Post Graduate 5 Positive 25
## 35 Post Graduate 2 Positive 4
## 36 Post Graduate 3 Positive 9
## 37 Post Graduate 5 Positive 25
## 38 Graduate 5 Negative 25
## 39 Post Graduate 3 Positive 9
## 40 Post Graduate 4 Positive 16
## 41 Uneducated 4 Negative 16
## 42 Graduate 3 Positive 9
## 43 Post Graduate 4 Positive 16
## 44 Post Graduate 5 Positive 25
## 45 Graduate 5 Positive 25
## 46 Post Graduate 2 Positive 4
## 47 Post Graduate 3 Positive 9
## 48 Post Graduate 2 Positive 4
## 49 Graduate 3 Negative 9
## 50 Post Graduate 5 Positive 25
## 51 Graduate 5 Positive 25
## 52 Post Graduate 2 Positive 4
## 53 Post Graduate 3 Positive 9
## 54 Post Graduate 2 Positive 4
## 55 Post Graduate 3 Positive 9
## 56 Graduate 2 Positive 4
## 57 Post Graduate 1 Positive 1
## 58 Graduate 3 Positive 9
## 59 Ph.D 5 Positive 25
## 60 Post Graduate 4 Positive 16
## 61 Post Graduate 5 Positive 25
## 62 Post Graduate 3 Positive 9
## 63 Post Graduate 1 Positive 1
## 64 Graduate 4 Positive 16
## 65 Post Graduate 2 Positive 4
## 66 Post Graduate 6 Positive 36
## 67 Graduate 4 Positive 16
## 68 Post Graduate 4 Positive 16
## 69 Post Graduate 4 Positive 16
## 70 Ph.D 4 Positive 16
## 71 Graduate 4 Positive 16
## 72 Post Graduate 3 Positive 9
## 73 Post Graduate 3 Positive 9
## 74 Post Graduate 2 Positive 4
## 75 Post Graduate 4 Positive 16
## 76 Post Graduate 3 Positive 9
## 77 Post Graduate 4 Positive 16
## 78 Graduate 4 Positive 16
## 79 Post Graduate 3 Positive 9
## 80 Post Graduate 5 Positive 25
## 81 Post Graduate 4 Positive 16
## 82 Post Graduate 3 Positive 9
## 83 Post Graduate 3 Positive 9
## 84 Post Graduate 3 Positive 9
## 85 Post Graduate 3 Positive 9
## 86 Post Graduate 4 Positive 16
## 87 Post Graduate 5 Positive 25
## 88 Graduate 1 Positive 1
## 89 Post Graduate 5 Positive 25
## 90 Graduate 2 Negative 4
## 91 Post Graduate 5 Positive 25
## 92 Ph.D 1 Positive 1
## 93 Post Graduate 2 Positive 4
## 94 Post Graduate 3 Positive 9
## 95 Post Graduate 1 Positive 1
## 96 Graduate 1 Positive 1
## 97 Graduate 5 Positive 25
## 98 Graduate 5 Positive 25
## 99 Graduate 5 Positive 25
## 100 Uneducated 3 Positive 9
## 101 Post Graduate 3 Positive 9
## 102 Post Graduate 2 Positive 4
## 103 Graduate 3 Positive 9
## 104 Ph.D 3 Positive 9
## 105 Graduate 2 Negative 4
## 106 Graduate 3 Positive 9
## 107 Post Graduate 2 Positive 4
## 108 Post Graduate 1 Positive 1
## 109 Graduate 2 Positive 4
## 110 Graduate 5 Positive 25
## 111 Post Graduate 4 Positive 16
## 112 Post Graduate 1 Positive 1
## 113 Post Graduate 2 Positive 4
## 114 Graduate 5 Positive 25
## 115 Post Graduate 2 Positive 4
## 116 Graduate 4 Negative 16
## 117 School 5 Positive 25
## 118 Ph.D 2 Positive 4
## 119 Graduate 5 Positive 25
## 120 Graduate 3 Positive 9
## 121 Graduate 5 Positive 25
## 122 Graduate 3 Positive 9
## 123 Post Graduate 3 Positive 9
## 124 Ph.D 5 Negative 25
## 125 Ph.D 6 Negative 36
## 126 Graduate 3 Positive 9
## 127 Post Graduate 3 Positive 9
## 128 Post Graduate 4 Positive 16
## 129 Post Graduate 3 Positive 9
## 130 Post Graduate 4 Positive 16
## 131 Post Graduate 3 Positive 9
## 132 Graduate 1 Positive 1
## 133 Post Graduate 2 Positive 4
## 134 Graduate 2 Negative 4
## 135 Graduate 4 Positive 16
## 136 Post Graduate 2 Positive 4
## 137 Graduate 3 Positive 9
## 138 Ph.D 5 Negative 25
## 139 Graduate 3 Positive 9
## 140 Post Graduate 4 Positive 16
## 141 Post Graduate 3 Positive 9
## 142 Graduate 3 Negative 9
## 143 Graduate 2 Positive 4
## 144 School 5 Positive 25
## 145 Post Graduate 3 Negative 9
## 146 Post Graduate 3 Positive 9
## 147 Post Graduate 3 Positive 9
## 148 Post Graduate 4 Positive 16
## 149 Graduate 4 Positive 16
## 150 Post Graduate 4 Positive 16
## 151 Post Graduate 3 Positive 9
## 152 Post Graduate 4 Positive 16
## 153 Graduate 2 Positive 4
## 154 Graduate 2 Positive 4
## 155 Graduate 5 Positive 25
## 156 Post Graduate 4 Positive 16
## 157 Post Graduate 3 Positive 9
## 158 Graduate 3 Positive 9
## 159 Ph.D 5 Negative 25
## 160 Graduate 2 Positive 4
## 161 Graduate 2 Positive 4
## 162 Post Graduate 3 Negative 9
## 163 Graduate 4 Positive 16
## 164 Post Graduate 3 Positive 9
## 165 Graduate 3 Positive 9
## 166 Ph.D 4 Positive 16
## 167 Ph.D 5 Negative 25
## 168 Post Graduate 5 Positive 25
## 169 School 2 Positive 4
## 170 Graduate 2 Negative 4
## 171 Post Graduate 1 Positive 1
## 172 Ph.D 3 Positive 9
## 173 Post Graduate 1 Positive 1
## 174 Post Graduate 3 Positive 9
## 175 Graduate 2 Positive 4
## 176 Graduate 6 Positive 36
## 177 Graduate 2 Positive 4
## 178 Post Graduate 3 Negative 9
## 179 Post Graduate 1 Negative 1
## 180 Post Graduate 3 Positive 9
## 181 Graduate 3 Positive 9
## 182 Graduate 3 Negative 9
## 183 Graduate 4 Positive 16
## 184 Graduate 2 Positive 4
## 185 School 5 Positive 25
## 186 Post Graduate 1 Positive 1
## 187 Post Graduate 2 Positive 4
## 188 Graduate 2 Positive 4
## 189 Post Graduate 2 Negative 4
## 190 School 6 Positive 36
## 191 Post Graduate 3 Negative 9
## 192 Post Graduate 2 Positive 4
## 193 Ph.D 5 Positive 25
## 194 Graduate 2 Positive 4
## 195 Graduate 2 Positive 4
## 196 Graduate 3 Positive 9
## 197 Graduate 6 Positive 36
## 198 Post Graduate 6 Positive 36
## 199 School 6 Positive 36
## 200 Graduate 2 Negative 4
## 201 Post Graduate 2 Positive 4
## 202 Post Graduate 5 Positive 25
## 203 Graduate 4 Positive 16
## 204 Graduate 4 Positive 16
## 205 Ph.D 3 Positive 9
## 206 Graduate 2 Positive 4
## 207 Graduate 4 Negative 16
## 208 Graduate 1 Positive 1
## 209 Graduate 2 Positive 4
## 210 Graduate 4 Negative 16
## 211 Graduate 6 Negative 36
## 212 Graduate 3 Positive 9
## 213 Graduate 2 Negative 4
## 214 Graduate 3 Positive 9
## 215 Post Graduate 4 Positive 16
## 216 School 3 Negative 9
## 217 Post Graduate 5 Positive 25
## 218 Graduate 2 Negative 4
## 219 Graduate 5 Positive 25
## 220 Graduate 3 Positive 9
## 221 Post Graduate 1 Positive 1
## 222 Graduate 2 Positive 4
## 223 Graduate 4 Positive 16
## 224 Graduate 5 Positive 25
## 225 Post Graduate 2 Positive 4
## 226 Post Graduate 2 Positive 4
## 227 Post Graduate 3 Positive 9
## 228 Post Graduate 2 Positive 4
## 229 Graduate 5 Negative 25
## 230 Graduate 3 Positive 9
## 231 Graduate 6 Positive 36
## 232 Graduate 5 Positive 25
## 233 Post Graduate 3 Negative 9
## 234 Post Graduate 2 Positive 4
## 235 Ph.D 3 Positive 9
## 236 Graduate 3 Negative 9
## 237 Graduate 3 Positive 9
## 238 Graduate 2 Positive 4
## 239 Graduate 2 Positive 4
## 240 Post Graduate 3 Positive 9
## 241 Post Graduate 6 Positive 36
## 242 Graduate 2 Positive 4
## 243 Graduate 3 Positive 9
## 244 Post Graduate 2 Positive 4
## 245 Graduate 1 Negative 1
## 246 Graduate 3 Positive 9
## 247 Graduate 6 Negative 36
## 248 School 3 Positive 9
## 249 Graduate 1 Negative 1
## 250 Post Graduate 2 Positive 4
## 251 Ph.D 3 Positive 9
## 252 Graduate 6 Positive 36
## 253 Graduate 3 Positive 9
## 254 Graduate 2 Positive 4
## 255 School 6 Positive 36
## 256 Graduate 3 Positive 9
## 257 Post Graduate 2 Negative 4
## 258 School 6 Negative 36
## 259 Post Graduate 3 Positive 9
## 260 Post Graduate 6 Negative 36
## 261 Graduate 6 Positive 36
## 262 Post Graduate 2 Negative 4
## 263 Graduate 2 Negative 4
## 264 Graduate 3 Negative 9
## 265 Post Graduate 4 Positive 16
## 266 Graduate 2 Positive 4
## 267 Graduate 3 Negative 9
## 268 Post Graduate 2 Positive 4
## 269 Graduate 3 Positive 9
## 270 Post Graduate 2 Positive 4
## 271 Graduate 2 Positive 4
## 272 Graduate 2 Negative 4
## 273 Graduate 3 Positive 9
## 274 Post Graduate 2 Positive 4
## 275 Graduate 2 Positive 4
## 276 Post Graduate 4 Positive 16
## 277 Post Graduate 3 Positive 9
## 278 Graduate 2 Positive 4
## 279 Graduate 5 Negative 25
## 280 Graduate 4 Positive 16
## 281 Graduate 6 Positive 36
## 282 Graduate 2 Positive 4
## 283 Graduate 4 Positive 16
## 284 Graduate 3 Positive 9
## 285 Post Graduate 2 Positive 4
## 286 Ph.D 2 Positive 4
## 287 Graduate 2 Positive 4
## 288 Graduate 5 Negative 25
## 289 Post Graduate 3 Positive 9
## 290 Graduate 2 Positive 4
## 291 Graduate 6 Positive 36
## 292 Graduate 3 Positive 9
## 293 Post Graduate 5 Negative 25
## 294 Graduate 1 Negative 1
## 295 Post Graduate 3 Negative 9
## 296 Ph.D 5 Positive 25
## 297 Post Graduate 3 Positive 9
## 298 Graduate 1 Positive 1
## 299 Post Graduate 2 Negative 4
## 300 Post Graduate 6 Negative 36
## 301 Post Graduate 3 Negative 9
## 302 Graduate 6 Positive 36
## 303 Post Graduate 4 Positive 16
## 304 Post Graduate 2 Positive 4
## 305 Graduate 3 Positive 9
## 306 Post Graduate 3 Positive 9
## 307 Post Graduate 2 Positive 4
## 308 Post Graduate 4 Positive 16
## 309 Post Graduate 5 Positive 25
## 310 Post Graduate 2 Negative 4
## 311 Graduate 5 Positive 25
## 312 Post Graduate 2 Positive 4
## 313 Post Graduate 2 Positive 4
## 314 Post Graduate 3 Positive 9
## 315 Post Graduate 2 Positive 4
## 316 Graduate 5 Negative 25
## 317 Graduate 3 Positive 9
## 318 Graduate 6 Positive 36
## 319 Graduate 5 Positive 25
## 320 Post Graduate 3 Negative 9
## 321 Post Graduate 2 Positive 4
## 322 Ph.D 3 Positive 9
## 323 Graduate 3 Negative 9
## 324 Graduate 3 Positive 9
## 325 Graduate 2 Positive 4
## 326 Graduate 2 Positive 4
## 327 Post Graduate 3 Positive 9
## 328 Post Graduate 6 Positive 36
## 329 Graduate 2 Positive 4
## 330 Graduate 4 Positive 16
## 331 Graduate 4 Positive 16
## 332 Ph.D 3 Positive 9
## 333 Graduate 2 Positive 4
## 334 Graduate 4 Negative 16
## 335 Graduate 1 Positive 1
## 336 Graduate 2 Positive 4
## 337 Graduate 4 Negative 16
## 338 Graduate 6 Positive 36
## 339 Graduate 3 Positive 9
## 340 Graduate 2 Negative 4
## 341 Graduate 3 Positive 9
## 342 Post Graduate 4 Positive 16
## 343 School 3 Negative 9
## 344 Post Graduate 5 Positive 25
## 345 Graduate 2 Negative 4
## 346 Graduate 4 Positive 16
## 347 Graduate 4 Positive 16
## 348 Ph.D 3 Positive 9
## 349 Graduate 2 Positive 4
## 350 Graduate 4 Negative 16
## 351 Graduate 1 Positive 1
## 352 Graduate 2 Positive 4
## 353 Graduate 4 Positive 16
## 354 Graduate 6 Positive 36
## 355 Graduate 3 Positive 9
## 356 Graduate 2 Positive 4
## 357 Post Graduate 2 Positive 4
## 358 Graduate 5 Negative 25
## 359 Graduate 3 Positive 9
## 360 Graduate 6 Positive 36
## 361 Graduate 5 Positive 25
## 362 Post Graduate 3 Negative 9
## 363 Post Graduate 2 Positive 4
## 364 Ph.D 3 Positive 9
## 365 Graduate 3 Negative 9
## 366 Graduate 3 Positive 9
## 367 Graduate 2 Positive 4
## 368 Graduate 2 Positive 4
## 369 Post Graduate 3 Positive 9
## 370 Post Graduate 6 Positive 36
## 371 Graduate 2 Positive 4
## 372 Graduate 3 Positive 9
## 373 Post Graduate 2 Positive 4
## 374 Graduate 1 Negative 1
## 375 Graduate 3 Negative 9
## 376 Graduate 6 Negative 36
## 377 School 3 Positive 9
## 378 Graduate 1 Negative 1
## 379 Post Graduate 2 Positive 4
## 380 Post Graduate 4 Positive 16
## 381 Post Graduate 2 Positive 4
## 382 Graduate 3 Positive 9
## 383 Post Graduate 3 Positive 9
## 384 Post Graduate 2 Positive 4
## 385 Post Graduate 4 Positive 16
## 386 Post Graduate 5 Positive 25
## 387 Post Graduate 2 Positive 4
## 388 Post Graduate 5 Positive 25Dichotomous Term
Occupation is going to be the dichotomous term.
Multiple Linear Regression
multi_lm <- lm(Age ~ Feedback + Occupation + family_squared, data = new_data)
summary(multi_lm)##
## Call:
## lm(formula = Age ~ Feedback + Occupation + family_squared, data = new_data)
##
## Residuals:
## Min 1Q Median 3Q Max
## -7.6075 -1.1967 -0.0693 1.3082 5.8854
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 26.60159 0.32515 81.815 < 2e-16 ***
## FeedbackPositive -0.51430 0.29279 -1.757 0.0798 .
## OccupationHouse wife 3.53548 0.76222 4.638 4.83e-06 ***
## OccupationSelf Employeed -0.25803 0.35704 -0.723 0.4703
## OccupationStudent -3.64170 0.25569 -14.242 < 2e-16 ***
## family_squared 0.02735 0.01151 2.376 0.0180 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.167 on 382 degrees of freedom
## Multiple R-squared: 0.4764, Adjusted R-squared: 0.4696
## F-statistic: 69.52 on 5 and 382 DF, p-value: < 2.2e-16par(mfrow=c(1,1))
plot(multi_lm)
Conclusion
Based on the model, it needs improvement to help identify if there is an influence with the family size on the interaction between age and feedback.