data("discoveries")

Question 1

1860-1959

discoveries
## Time Series:
## Start = 1860 
## End = 1959 
## Frequency = 1 
##   [1]  5  3  0  2  0  3  2  3  6  1  2  1  2  1  3  3  3  5  2  4  4  0  2  3  7
##  [26] 12  3 10  9  2  3  7  7  2  3  3  6  2  4  3  5  2  2  4  0  4  2  5  2  3
##  [51]  3  6  5  8  3  6  6  0  5  2  2  2  6  3  4  4  2  2  4  7  5  3  3  0  2
##  [76]  2  2  1  3  4  2  2  1  1  1  2  1  4  4  3  2  1  4  1  1  1  0  0  2  0

Question 2

2

Question 3

Calculate the avg. number of discoveries per year between 1860 and 1959

Question 4

max(discoveries)
## [1] 12

Question 5

plot(discoveries)

12 before 1900 8 after 1900

Question 6

The x axis is showing the years 1860 to 1959 and the y axis represents the number of discoveries that the World Almanac and Book of Facts designate as great discoveries that ranges between 0 and 12. There is no real pattern but there were more discoveries before 1900 because that is where the 2 maxes are and the graph is right skewed.

Question 7

mean(discoveries)
## [1] 3.1

Question 8

min(discoveries)
## [1] 0

Data set 2

data("faithful")

Question 9

272 rows and 3 columns

Question 10

Both are numerical

Question 11

faithful$waiting
##   [1] 79 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74
##  [26] 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 53 82 59
##  [51] 75 90 54 80 54 83 71 64 77 81 59 84 48 82 60 92 78 78 65 73 82 56 79 71 62
##  [76] 76 60 78 76 83 75 82 70 65 73 88 76 80 48 86 60 90 50 78 63 72 84 75 51 82
## [101] 62 88 49 83 81 47 84 52 86 81 75 59 89 79 59 81 50 85 59 87 53 69 77 56 88
## [126] 81 45 82 55 90 45 83 56 89 46 82 51 86 53 79 81 60 82 77 76 59 80 49 96 53
## [151] 77 77 65 81 71 70 81 93 53 89 45 86 58 78 66 76 63 88 52 93 49 57 77 68 81
## [176] 81 73 50 85 74 55 77 83 83 51 78 84 46 83 55 81 57 76 84 77 81 87 77 51 78
## [201] 60 82 91 53 78 46 77 84 49 83 71 80 49 75 64 76 53 94 55 76 50 82 54 75 78
## [226] 79 78 78 70 79 70 54 86 50 90 54 54 77 79 64 75 47 86 63 85 82 57 82 67 74
## [251] 54 83 73 73 88 80 71 83 56 79 78 84 58 83 43 60 75 81 46 90 46 74

faithful$waiting

Question 12

max(faithful$eruptions)
## [1] 5.1

Question 13

plot(x = faithful$waiting, y = faithful$eruptions)

3.75 to 4.75 if we had to wait 80 minutes.

Question 14

plot(x = faithful$waiting, y = faithful$eruptions, 
xlab= "Waiting Time in Minutes",  ylab= "Number of Eruptions", col = "red")

Question 15

Yes there is a clear pattern in the data. When looking at the scatter plot as the waiting time increases so does the number of eruptions.