Develop an R program to quickly explore a given dataset, including categorical analysis using the group_by command , and visualize the findings using ggplot2 features.
── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
✔ dplyr 1.1.4 ✔ readr 2.1.5
✔ forcats 1.0.0 ✔ stringr 1.5.1
✔ ggplot2 3.5.1 ✔ tibble 3.2.1
✔ lubridate 1.9.4 ✔ tidyr 1.3.1
✔ purrr 1.0.4
── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag() masks stats::lag()
ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library (dplyr)
# Load dataset
data<- mtcars
# convert 'cyl' to a factor for categorical analysis
data$ cyl <- as.factor (data$ cyl)
#summarize avg mpg by cylinder category
summary_data <- data %>%
group_by (cyl) %>%
summarise (avg_mpg = mean (mpg), .groups = 'drop' )
#display summary
print (summary_data)
# A tibble: 3 × 2
cyl avg_mpg
<fct> <dbl>
1 4 26.7
2 6 19.7
3 8 15.1
#create a bar plot using ggplot2
ggplot (summary_data ,aes (x= cyl,y = avg_mpg, fill= cyl)) +
geom_bar (stat = "identity" ) +
labs (title = "Average MPG by cylinder count" ,
x= "number of cylindesrs" , y= "average MPG" ) +
theme_minimal ()
2)Write an R script to create a scatter plot, incorporating categorical analysis through color-coded data points representing different groups using ggplot2.
library (ggplot2)
library (dplyr)
# Load the iris dataset
data <- iris
# display first few rows
head (data, n= 10 )
Sepal.Length Sepal.Width Petal.Length Petal.Width Species
1 5.1 3.5 1.4 0.2 setosa
2 4.9 3.0 1.4 0.2 setosa
3 4.7 3.2 1.3 0.2 setosa
4 4.6 3.1 1.5 0.2 setosa
5 5.0 3.6 1.4 0.2 setosa
6 5.4 3.9 1.7 0.4 setosa
7 4.6 3.4 1.4 0.3 setosa
8 5.0 3.4 1.5 0.2 setosa
9 4.4 2.9 1.4 0.2 setosa
10 4.9 3.1 1.5 0.1 setosa
setosa versicolor virginica
50 50 50
ggplot (data, aes (x = Sepal.Length , y = Sepal.Width , color = Species)) +
geom_point (size = 3 , alpha = 0.7 )+
labs (title = "Scatter Plot of sepal Dimensions" ,
x= "Sepal length" ,
y = "Sepal Width" ,
color = "Species" ) +
theme_minimal ()+
theme (legend.position = "top" )
3)Implement a R function to generate a line graph depicting the trend of a time series dataset with separate lines for each group, utilizing ggplot2’s group aesthetic(trend analysis)
library (ggplot2)
library (dplyr)
library (tidyr)
AirPassengers
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
1949 112 118 132 129 121 135 148 148 136 119 104 118
1950 115 126 141 135 125 149 170 170 158 133 114 140
1951 145 150 178 163 172 178 199 199 184 162 146 166
1952 171 180 193 181 183 218 230 242 209 191 172 194
1953 196 196 236 235 229 243 264 272 237 211 180 201
1954 204 188 235 227 234 264 302 293 259 229 203 229
1955 242 233 267 269 270 315 364 347 312 274 237 278
1956 284 277 317 313 318 374 413 405 355 306 271 306
1957 315 301 356 348 355 422 465 467 404 347 305 336
1958 340 318 362 348 363 435 491 505 404 359 310 337
1959 360 342 406 396 420 472 548 559 463 407 362 405
1960 417 391 419 461 472 535 622 606 508 461 390 432
as.numeric (AirPassengers)
[1] 112 118 132 129 121 135 148 148 136 119 104 118 115 126 141 135 125 149
[19] 170 170 158 133 114 140 145 150 178 163 172 178 199 199 184 162 146 166
[37] 171 180 193 181 183 218 230 242 209 191 172 194 196 196 236 235 229 243
[55] 264 272 237 211 180 201 204 188 235 227 234 264 302 293 259 229 203 229
[73] 242 233 267 269 270 315 364 347 312 274 237 278 284 277 317 313 318 374
[91] 413 405 355 306 271 306 315 301 356 348 355 422 465 467 404 347 305 336
[109] 340 318 362 348 363 435 491 505 404 359 310 337 360 342 406 396 420 472
[127] 548 559 463 407 362 405 417 391 419 461 472 535 622 606 508 461 390 432
as.numeric (time (AirPassengers))
[1] 1949.000 1949.083 1949.167 1949.250 1949.333 1949.417 1949.500 1949.583
[9] 1949.667 1949.750 1949.833 1949.917 1950.000 1950.083 1950.167 1950.250
[17] 1950.333 1950.417 1950.500 1950.583 1950.667 1950.750 1950.833 1950.917
[25] 1951.000 1951.083 1951.167 1951.250 1951.333 1951.417 1951.500 1951.583
[33] 1951.667 1951.750 1951.833 1951.917 1952.000 1952.083 1952.167 1952.250
[41] 1952.333 1952.417 1952.500 1952.583 1952.667 1952.750 1952.833 1952.917
[49] 1953.000 1953.083 1953.167 1953.250 1953.333 1953.417 1953.500 1953.583
[57] 1953.667 1953.750 1953.833 1953.917 1954.000 1954.083 1954.167 1954.250
[65] 1954.333 1954.417 1954.500 1954.583 1954.667 1954.750 1954.833 1954.917
[73] 1955.000 1955.083 1955.167 1955.250 1955.333 1955.417 1955.500 1955.583
[81] 1955.667 1955.750 1955.833 1955.917 1956.000 1956.083 1956.167 1956.250
[89] 1956.333 1956.417 1956.500 1956.583 1956.667 1956.750 1956.833 1956.917
[97] 1957.000 1957.083 1957.167 1957.250 1957.333 1957.417 1957.500 1957.583
[105] 1957.667 1957.750 1957.833 1957.917 1958.000 1958.083 1958.167 1958.250
[113] 1958.333 1958.417 1958.500 1958.583 1958.667 1958.750 1958.833 1958.917
[121] 1959.000 1959.083 1959.167 1959.250 1959.333 1959.417 1959.500 1959.583
[129] 1959.667 1959.750 1959.833 1959.917 1960.000 1960.083 1960.167 1960.250
[137] 1960.333 1960.417 1960.500 1960.583 1960.667 1960.750 1960.833 1960.917
data <- data.frame (
Date = seq (as.Date ("1949-01-01" ),
by = "month" ,
length.out = length (AirPassengers)),
Passengers = as.numeric (AirPassengers) ,
Year = as.factor (format (seq (as.Date ("1949-01-01" ),by
= "month" , length.out = length (AirPassengers)), "%Y" ))
)
head (data, n= 20 )
Date Passengers Year
1 1949-01-01 112 1949
2 1949-02-01 118 1949
3 1949-03-01 132 1949
4 1949-04-01 129 1949
5 1949-05-01 121 1949
6 1949-06-01 135 1949
7 1949-07-01 148 1949
8 1949-08-01 148 1949
9 1949-09-01 136 1949
10 1949-10-01 119 1949
11 1949-11-01 104 1949
12 1949-12-01 118 1949
13 1950-01-01 115 1950
14 1950-02-01 126 1950
15 1950-03-01 141 1950
16 1950-04-01 135 1950
17 1950-05-01 125 1950
18 1950-06-01 149 1950
19 1950-07-01 170 1950
20 1950-08-01 170 1950
plot_time_series <- function (data,x_col, y_col,group_col, title= "Air
Passenger Trends" ){
ggplot (data, aes_string (x = x_col , y = y_col , color = group_col)) +
geom_line (size = 1.2 ) +
geom_point (size = 2 ) +
labs (title = title,
x= "Year" ,
y = "Number of Passengers" ,
color = "Year" ) +
theme_minimal () +
theme (legend.position = "top" )
}
# call the function
plot_time_series (data, "Date" , "Passengers" , "Year" , "Trend of Airline Passengers Over Time" )
Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
ℹ Please use tidy evaluation idioms with `aes()`.
ℹ See also `vignette("ggplot2-in-packages")` for more information.
Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
ℹ Please use `linewidth` instead.
4)Develop a script in R to produce a bar graph displaying the fequency distribution of categorical data in a given dataset, grouped by a specific variable, using ggplot2
library (ggplot2)
data <- mtcars
head (data)
mpg cyl disp hp drat wt qsec vs am gear carb
Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4
Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4
Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1
Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1
Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2
Valiant 18.1 6 225 105 2.76 3.460 20.22 1 0 3 1
data$ cyl <- as.factor (data$ cyl)
data$ gear <- as.factor (data$ gear)
ggplot (data , aes (x= cyl, fill = gear)) +
geom_bar (position = "dodge" ) +
labs (title = "Frequency of Cylinders Grouped by Gear Type" ,
x = "Number of cylinders" ,
y = "count" ,
fill = "Gears" ) +
theme_minimal ()
5)Implement a R program to create a histogram ilustrating the distribution of a continuous variable, with overlays of density curves for each group, using ggplot2.
library (ggplot2)
str (iris)
'data.frame': 150 obs. of 5 variables:
$ Sepal.Length: num 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
$ Sepal.Width : num 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
$ Petal.Length: num 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
$ Petal.Width : num 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
$ Species : Factor w/ 3 levels "setosa","versicolor",..: 1 1 1 1 1 1 1 1 1 1 ...
Sepal.Length Sepal.Width Petal.Length Petal.Width Species
1 5.1 3.5 1.4 0.2 setosa
2 4.9 3.0 1.4 0.2 setosa
3 4.7 3.2 1.3 0.2 setosa
4 4.6 3.1 1.5 0.2 setosa
5 5.0 3.6 1.4 0.2 setosa
6 5.4 3.9 1.7 0.4 setosa
p<- ggplot (data = iris, aes (x= Petal.Length , fill = Species))
pp <- p + geom_histogram (aes (y = ..density..),
alpha = 0.4 ,
position = "identity" ,
bins= 30 )
p
p <- p +
geom_density (aes (color = Species),
size = 1.2 )
p
p <- p + labs (
title = "Distribution of Petal Length with Group-wise Density Curves" ,
x = "Petal Length" ,
y = "Density"
)+
theme_minimal ()
p
6)Write a R script to understand a box plot showcasing the distribution of a continuous variable, grouped by a categorical variable, using ggplot2’s fill aesthetic.
#Load ggplot2 package for visualization
library (ggplot2)
#use the built-in 'iris' dataset
str (iris) #structure of dataset
'data.frame': 150 obs. of 5 variables:
$ Sepal.Length: num 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
$ Sepal.Width : num 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
$ Petal.Length: num 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
$ Petal.Width : num 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
$ Species : Factor w/ 3 levels "setosa","versicolor",..: 1 1 1 1 1 1 1 1 1 1 ...
head (iris) #view sample data
Sepal.Length Sepal.Width Petal.Length Petal.Width Species
1 5.1 3.5 1.4 0.2 setosa
2 4.9 3.0 1.4 0.2 setosa
3 4.7 3.2 1.3 0.2 setosa
4 4.6 3.1 1.5 0.2 setosa
5 5.0 3.6 1.4 0.2 setosa
6 5.4 3.9 1.7 0.4 setosa
p <- ggplot (data = iris, aes (x= Species , y = Petal.Width, fill = Species))
p
p <- p + geom_boxplot ()
p
p<- p + labs (title = "Box plot of petal width by species" ,
x= "Species" ,
y = "Peatal Width" ) +
theme_minimal ()
p
7)Develop a function in R to plot a function curve based on a mathematical equation provided as input, with different curve styles for each group, using ggplot2.
library (ggplot2)
x <- seq (- 2 * pi, 2 * pi, length.out = 500 )
y1 <- sin (x)
y2 <- cos (x)
df <- data.frame (
x= rep (x,2 ),
y= c (y1,y2),
group = rep (c ("sin(x)" , "cos(x)" ), each = length (x))
)
df
x y group
1 -6.28318531 2.449213e-16 sin(x)
2 -6.25800220 2.518045e-02 sin(x)
3 -6.23281909 5.034492e-02 sin(x)
4 -6.20763598 7.547747e-02 sin(x)
5 -6.18245288 1.005622e-01 sin(x)
6 -6.15726977 1.255831e-01 sin(x)
7 -6.13208666 1.505244e-01 sin(x)
8 -6.10690356 1.753702e-01 sin(x)
9 -6.08172045 2.001048e-01 sin(x)
10 -6.05653734 2.247125e-01 sin(x)
11 -6.03135423 2.491777e-01 sin(x)
12 -6.00617113 2.734849e-01 sin(x)
13 -5.98098802 2.976186e-01 sin(x)
14 -5.95580491 3.215637e-01 sin(x)
15 -5.93062180 3.453048e-01 sin(x)
16 -5.90543870 3.688269e-01 sin(x)
17 -5.88025559 3.921151e-01 sin(x)
18 -5.85507248 4.151547e-01 sin(x)
19 -5.82988937 4.379310e-01 sin(x)
20 -5.80470627 4.604296e-01 sin(x)
21 -5.77952316 4.826362e-01 sin(x)
22 -5.75434005 5.045367e-01 sin(x)
23 -5.72915694 5.261173e-01 sin(x)
24 -5.70397384 5.473642e-01 sin(x)
25 -5.67879073 5.682640e-01 sin(x)
26 -5.65360762 5.888035e-01 sin(x)
27 -5.62842451 6.089695e-01 sin(x)
28 -5.60324141 6.287494e-01 sin(x)
29 -5.57805830 6.481306e-01 sin(x)
30 -5.55287519 6.671007e-01 sin(x)
31 -5.52769208 6.856478e-01 sin(x)
32 -5.50250898 7.037601e-01 sin(x)
33 -5.47732587 7.214261e-01 sin(x)
34 -5.45214276 7.386346e-01 sin(x)
35 -5.42695965 7.553746e-01 sin(x)
36 -5.40177655 7.716357e-01 sin(x)
37 -5.37659344 7.874074e-01 sin(x)
38 -5.35141033 8.026798e-01 sin(x)
39 -5.32622722 8.174432e-01 sin(x)
40 -5.30104412 8.316882e-01 sin(x)
41 -5.27586101 8.454057e-01 sin(x)
42 -5.25067790 8.585872e-01 sin(x)
43 -5.22549479 8.712241e-01 sin(x)
44 -5.20031169 8.833086e-01 sin(x)
45 -5.17512858 8.948329e-01 sin(x)
46 -5.14994547 9.057897e-01 sin(x)
47 -5.12476236 9.161722e-01 sin(x)
48 -5.09957926 9.259736e-01 sin(x)
49 -5.07439615 9.351879e-01 sin(x)
50 -5.04921304 9.438090e-01 sin(x)
51 -5.02402993 9.518317e-01 sin(x)
52 -4.99884683 9.592507e-01 sin(x)
53 -4.97366372 9.660615e-01 sin(x)
54 -4.94848061 9.722596e-01 sin(x)
55 -4.92329751 9.778411e-01 sin(x)
56 -4.89811440 9.828026e-01 sin(x)
57 -4.87293129 9.871407e-01 sin(x)
58 -4.84774818 9.908529e-01 sin(x)
59 -4.82256508 9.939368e-01 sin(x)
60 -4.79738197 9.963903e-01 sin(x)
61 -4.77219886 9.982119e-01 sin(x)
62 -4.74701575 9.994006e-01 sin(x)
63 -4.72183265 9.999554e-01 sin(x)
64 -4.69664954 9.998761e-01 sin(x)
65 -4.67146643 9.991628e-01 sin(x)
66 -4.64628332 9.978158e-01 sin(x)
67 -4.62110022 9.958361e-01 sin(x)
68 -4.59591711 9.932248e-01 sin(x)
69 -4.57073400 9.899837e-01 sin(x)
70 -4.54555089 9.861148e-01 sin(x)
71 -4.52036779 9.816205e-01 sin(x)
72 -4.49518468 9.765037e-01 sin(x)
73 -4.47000157 9.707677e-01 sin(x)
74 -4.44481846 9.644161e-01 sin(x)
75 -4.41963536 9.574528e-01 sin(x)
76 -4.39445225 9.498824e-01 sin(x)
77 -4.36926914 9.417097e-01 sin(x)
78 -4.34408603 9.329397e-01 sin(x)
79 -4.31890293 9.235781e-01 sin(x)
80 -4.29371982 9.136308e-01 sin(x)
81 -4.26853671 9.031041e-01 sin(x)
82 -4.24335360 8.920047e-01 sin(x)
83 -4.21817050 8.803397e-01 sin(x)
84 -4.19298739 8.681164e-01 sin(x)
85 -4.16780428 8.553425e-01 sin(x)
86 -4.14262117 8.420263e-01 sin(x)
87 -4.11743807 8.281760e-01 sin(x)
88 -4.09225496 8.138006e-01 sin(x)
89 -4.06707185 7.989091e-01 sin(x)
90 -4.04188874 7.835109e-01 sin(x)
91 -4.01670564 7.676159e-01 sin(x)
92 -3.99152253 7.512341e-01 sin(x)
93 -3.96633942 7.343759e-01 sin(x)
94 -3.94115631 7.170520e-01 sin(x)
95 -3.91597321 6.992734e-01 sin(x)
96 -3.89079010 6.810513e-01 sin(x)
97 -3.86560699 6.623974e-01 sin(x)
98 -3.84042389 6.433233e-01 sin(x)
99 -3.81524078 6.238413e-01 sin(x)
100 -3.79005767 6.039637e-01 sin(x)
101 -3.76487456 5.837031e-01 sin(x)
102 -3.73969146 5.630723e-01 sin(x)
103 -3.71450835 5.420845e-01 sin(x)
104 -3.68932524 5.207529e-01 sin(x)
105 -3.66414213 4.990910e-01 sin(x)
106 -3.63895903 4.771127e-01 sin(x)
107 -3.61377592 4.548317e-01 sin(x)
108 -3.58859281 4.322624e-01 sin(x)
109 -3.56340970 4.094189e-01 sin(x)
110 -3.53822660 3.863158e-01 sin(x)
111 -3.51304349 3.629677e-01 sin(x)
112 -3.48786038 3.393894e-01 sin(x)
113 -3.46267727 3.155959e-01 sin(x)
114 -3.43749417 2.916023e-01 sin(x)
115 -3.41231106 2.674237e-01 sin(x)
116 -3.38712795 2.430756e-01 sin(x)
117 -3.36194484 2.185733e-01 sin(x)
118 -3.33676174 1.939324e-01 sin(x)
119 -3.31157863 1.691685e-01 sin(x)
120 -3.28639552 1.442974e-01 sin(x)
121 -3.26121241 1.193347e-01 sin(x)
122 -3.23602931 9.429635e-02 sin(x)
123 -3.21084620 6.919820e-02 sin(x)
124 -3.18566309 4.405617e-02 sin(x)
125 -3.16047998 1.888621e-02 sin(x)
126 -3.13529688 -6.295735e-03 sin(x)
127 -3.11011377 -3.147369e-02 sin(x)
128 -3.08493066 -5.663168e-02 sin(x)
129 -3.05974755 -8.175375e-02 sin(x)
130 -3.03456445 -1.068240e-01 sin(x)
131 -3.00938134 -1.318265e-01 sin(x)
132 -2.98419823 -1.567454e-01 sin(x)
133 -2.95901512 -1.815649e-01 sin(x)
134 -2.93383202 -2.062692e-01 sin(x)
135 -2.90864891 -2.308428e-01 sin(x)
136 -2.88346580 -2.552699e-01 sin(x)
137 -2.85828269 -2.795352e-01 sin(x)
138 -2.83309959 -3.036232e-01 sin(x)
139 -2.80791648 -3.275186e-01 sin(x)
140 -2.78273337 -3.512064e-01 sin(x)
141 -2.75755027 -3.746715e-01 sin(x)
142 -2.73236716 -3.978989e-01 sin(x)
143 -2.70718405 -4.208740e-01 sin(x)
144 -2.68200094 -4.435822e-01 sin(x)
145 -2.65681784 -4.660091e-01 sin(x)
146 -2.63163473 -4.881405e-01 sin(x)
147 -2.60645162 -5.099624e-01 sin(x)
148 -2.58126851 -5.314608e-01 sin(x)
149 -2.55608541 -5.526222e-01 sin(x)
150 -2.53090230 -5.734332e-01 sin(x)
151 -2.50571919 -5.938805e-01 sin(x)
152 -2.48053608 -6.139512e-01 sin(x)
153 -2.45535298 -6.336326e-01 sin(x)
154 -2.43016987 -6.529121e-01 sin(x)
155 -2.40498676 -6.717776e-01 sin(x)
156 -2.37980365 -6.902171e-01 sin(x)
157 -2.35462055 -7.082189e-01 sin(x)
158 -2.32943744 -7.257715e-01 sin(x)
159 -2.30425433 -7.428639e-01 sin(x)
160 -2.27907122 -7.594852e-01 sin(x)
161 -2.25388812 -7.756249e-01 sin(x)
162 -2.22870501 -7.912727e-01 sin(x)
163 -2.20352190 -8.064188e-01 sin(x)
164 -2.17833879 -8.210534e-01 sin(x)
165 -2.15315569 -8.351673e-01 sin(x)
166 -2.12797258 -8.487517e-01 sin(x)
167 -2.10278947 -8.617978e-01 sin(x)
168 -2.07760636 -8.742973e-01 sin(x)
169 -2.05242326 -8.862425e-01 sin(x)
170 -2.02724015 -8.976256e-01 sin(x)
171 -2.00205704 -9.084395e-01 sin(x)
172 -1.97687393 -9.186773e-01 sin(x)
173 -1.95169083 -9.283325e-01 sin(x)
174 -1.92650772 -9.373990e-01 sin(x)
175 -1.90132461 -9.458710e-01 sin(x)
176 -1.87614150 -9.537432e-01 sin(x)
177 -1.85095840 -9.610106e-01 sin(x)
178 -1.82577529 -9.676686e-01 sin(x)
179 -1.80059218 -9.737129e-01 sin(x)
180 -1.77540907 -9.791397e-01 sin(x)
181 -1.75022597 -9.839456e-01 sin(x)
182 -1.72504286 -9.881276e-01 sin(x)
183 -1.69985975 -9.916829e-01 sin(x)
184 -1.67467664 -9.946093e-01 sin(x)
185 -1.64949354 -9.969050e-01 sin(x)
186 -1.62431043 -9.985685e-01 sin(x)
187 -1.59912732 -9.995987e-01 sin(x)
188 -1.57394422 -9.999950e-01 sin(x)
189 -1.54876111 -9.997572e-01 sin(x)
190 -1.52357800 -9.988854e-01 sin(x)
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961 5.30104412 5.552430e-01 cos(x)
962 5.32622722 5.760092e-01 cos(x)
963 5.35141033 5.964102e-01 cos(x)
964 5.37659344 6.164329e-01 cos(x)
965 5.40177655 6.360647e-01 cos(x)
966 5.42695965 6.552932e-01 cos(x)
967 5.45214276 6.741061e-01 cos(x)
968 5.47732587 6.924915e-01 cos(x)
969 5.50250898 7.104377e-01 cos(x)
970 5.52769208 7.279335e-01 cos(x)
971 5.55287519 7.449676e-01 cos(x)
972 5.57805830 7.615292e-01 cos(x)
973 5.60324141 7.776080e-01 cos(x)
974 5.62842451 7.931936e-01 cos(x)
975 5.65360762 8.082762e-01 cos(x)
976 5.67879073 8.228463e-01 cos(x)
977 5.70397384 8.368945e-01 cos(x)
978 5.72915694 8.504120e-01 cos(x)
979 5.75434005 8.633903e-01 cos(x)
980 5.77952316 8.758210e-01 cos(x)
981 5.80470627 8.876962e-01 cos(x)
982 5.82988937 8.990086e-01 cos(x)
983 5.85507248 9.097508e-01 cos(x)
984 5.88025559 9.199162e-01 cos(x)
985 5.90543870 9.294981e-01 cos(x)
986 5.93062180 9.384906e-01 cos(x)
987 5.95580491 9.468880e-01 cos(x)
988 5.98098802 9.546848e-01 cos(x)
989 6.00617113 9.618763e-01 cos(x)
990 6.03135423 9.684578e-01 cos(x)
991 6.05653734 9.744251e-01 cos(x)
992 6.08172045 9.797745e-01 cos(x)
993 6.10690356 9.845026e-01 cos(x)
994 6.13208666 9.886063e-01 cos(x)
995 6.15726977 9.920831e-01 cos(x)
996 6.18245288 9.949308e-01 cos(x)
997 6.20763598 9.971475e-01 cos(x)
998 6.23281909 9.987319e-01 cos(x)
999 6.25800220 9.996829e-01 cos(x)
1000 6.28318531 1.000000e+00 cos(x)
p <- ggplot (df , aes (x = x , y= y , color = group, linetype = group))
p
p <- p + geom_line (size = 1.2 )
p
p <- p + labs (title= " Function curves: sin(x) and cos(x)" ,
x = "x" ,
y = " y = f(x)" ,
color = "Function " ,
linetype = "Function"
)
p
p <- p + theme_minimal ()
p