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plot(cars)

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 15.4

## [1] 15.4

 42.98

## [1] 42.98

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4+1

## [1] 5

5-2

## [1] 3

2/3

## [1] 0.6666667

2^3

## [1] 8

2-3

## [1] -1

sqrt(2)

## [1] 1.414214

log(2.72)

## [1] 1.000632

log10(10)

## [1] 1

log(10,base=2)

## [1] 3.321928

#Module_1 Activity_1 #Question_1 compute Log base 5 of 10 and log of 10

print("Log base 5 of 10 is:")

## [1] "Log base 5 of 10 is:"

log(10,base=5)

## [1] 1.430677

print("log base 10 is:")

## [1] "log base 10 is:"

log(10)

## [1] 2.302585

**Computing some offensive metrics in Baseball

BA=(29/112)
BA

## [1] 0.2589286

Battling_Average=round(BA,digit =3 )
Battling_Average

## [1] 0.259

#Question_2 What is the batting average of a player that bats 42 hits in 212 at bats?

#Batting Average=(No. of Hits)/(No. of At Bats)
BA=(42/212)
BA

## [1] 0.1981132

#OBP=(H+BB+HBP)/(At Bats+H+BB+HBP+SF)
#AB=515,H=172,BB=84,HBP=5,SF=6
OBP=(172+84+5)/(515+172+84+5+6)
OBP

## [1] 0.3337596

On_Base_Percentage=round(OBP,digits = 3)
On_Base_Percentage

## [1] 0.334

#Question_3:Compute the OBP for a player with the following general stats

#AB=565,H=156,BB=65,HBP=3,SF=7
#OBP=(H+BB+HBP)/(At Bats+H+BB+HBP+SF)
OBP=(156+65+3)/(565+156+65+3+7)
OBP

## [1] 0.281407

On_Base_Percentage=round(OBP,digits = 3)
On_Base_Percentage

## [1] 0.281

#Question_4: Define two vectors,runs_per_9innings and hits_per_9innings, each with five elements.

Run_per_9innings <- c(14, 18, 15, 22, 16) 
Run_per_9innings

## [1] 14 18 15 22 16

Hits_per_9innings <- c(22, 14, 20, 10, 12)
Hits_per_9innings

## [1] 22 14 20 10 12

#Question_5: Get the first element of hits_per_9innings.

Hits_per_9innings[1]

## [1] 22

#Question_6: Get the last element of hits_per_9innings.

Hits_per_9innings[5]

## [1] 12

#Question_7: Find the most frequent value of hits_per_9innings.

# Function to find the mode, i.e. most frequent value
getMode <- function(x) {
     ux <- unique(x)
     ux[which.max(tabulate(match(x, ux)))]
 }

getMode(Hits_per_9innings)

## [1] 22

#Question_8: Summarize the following survey with the table() command: #What is your favorite day of the week to watch baseball? A total of 10 fans submitted this survey. #Saturday, Saturday, Sunday, Monday, Saturday,Tuesday, Sunday, Friday, Friday, Monday game_day<-c(“Saturday”, “Saturday”, “Sunday”, “Monday”, “Saturday”,“Tuesday”, “Sunday”, “Friday”, “Friday”, “Monday”)

game_day<-c("Saturday", "Saturday", "Sunday", "Monday", "Saturday","Tuesday", "Sunday", "Friday", "Friday", "Monday") 
print("Favorite day of the week to watch baseball:")

## [1] "Favorite day of the week to watch baseball:"

table(game_day)

## game_day
##   Friday   Monday Saturday   Sunday  Tuesday 
##        2        2        3        2        1

#Question_9: What is the most frequent answer recorded in the survey? Use the getMode function to compute results.

# Function to find the mode, i.e. most frequent value
getMode <- function(x) {
     ux <- unique(x)
     ux[which.max(tabulate(match(x, ux)))]
 }

game_day<-c("Saturday", "Saturday", "Sunday", "Monday", "Saturday","Tuesday", "Sunday", "Friday", "Friday", "Monday")
print("The most frequent answer recorded in the survey is: ")

## [1] "The most frequent answer recorded in the survey is: "

getMode(game_day)

## [1] "Saturday"