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Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END.

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Presentation on theme: "Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END."— Presentation transcript:

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2 Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END

3 Random Sampling using Ran# The Ran#: Generates a pseudo random number to 3 decimal places that is less than 1. i.e. it generates a random number in the range [0, 1] Ran# is in Yellow END

4 Random Sampling using Ran# END

5 To keep generating a random 3 digit number between [0,1] we repeatedly press = Random Sampling using Ran# END

6 Random Sampling using Ran# END

7 The calculator automatically displays in Natural display. If we are generating lots of numbers this may become annoying. We need to Set UP the calculator into Line ar Display (as a single line …Decimals) Random Sampling using Ran# END

8 Random Sampling using Ran# END

9 We want it Line ar Random Sampling using Ran# END

10 We want a random number again Random Sampling using Ran# END

11 Random Sampling using Ran# END

12 To keep generating a random 3 digit number between [0,1] we repeatedly press = Random Sampling using Ran# END

13 Random Sampling using Ran# END

14 Random Sampling using Ran# END

15 Using Ran# to generate a random whole number within a given interval [1,200] If we multiply the randomly generated number by 199 then 199 x [0, 1] = [0, 199] To get it between 1 and 200 we must add 1 199 x [0, 1] + 1 = [1, 200] But we must first SET UP the calculator to Fix to 0 decimal place END

16 Random Sampling using Ran# for an interval [1,200] END But we must first SET UP the calculator to Fix to 0 decimal place

17 Random Sampling using Ran# for an interval [1,200]

18 But we must first SET UP the calculator to Fix to 0 decimal place

19 Random Sampling using Ran# for an interval [1,200] But we must first SET UP the calculator to Fix to 0 decimal place

20 The calculator tells us it has been SET UP To Fix We now need to tell it what we want 199 x [0, 1] + 1 Random Sampling using Ran# for an interval [1,200]

21 END

22 Random Sampling using Ran# for an interval [1,200] END

23 Random Sampling using Ran# for an interval [1,200] END

24 Random Sampling using Ran# for an interval [1,200] END

25 Random Sampling using Ran# for an interval [1,200] END

26 Random Sampling using Ran# for an interval [1,200] END

27 Random Sampling using Ran# for an interval [1,200]

28 END

29 Random Sampling using Ran# for an interval [1,200] END

30 Random Sampling using Ran# for an interval [1,200] END

31 Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END

32 Random Sampling using Ranint for an interval [1,200]

33 Ranint is in Red END Random Sampling using Ranint for an interval [1,200]

34 END Random Sampling using Ranint for an interval [1,200]

35 We want our interval to be [1,200] END Random Sampling using Ranint for an interval [1,200]

36 The comma is here in yellow END Random Sampling using Ranint for an interval [1,200]

37 The comma is here in yellow END Random Sampling using Ranint for an interval [1,200]

38 END Random Sampling using Ranint for an interval [1,200]

39 END Random Sampling using Ranint for an interval [1,200]

40 END Random Sampling using Ranint for an interval [1,200]

41 The bracket is here END Random Sampling using Ranint for an interval [1,200]

42 To keep generating a random 3 digit number between [1,200] we repeatedly press = END Random Sampling using Ranint for an interval [1,200]

43 END Random Sampling using Ranint for an interval [1,200]

44 END Random Sampling using Ranint for an interval [1,200]

45 Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END

46 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We first need to make sure the calculator is clear of all previous content Finding Standard Deviation END

47 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We first need to make sure the calculator is clear of all previous content Finding Standard Deviation END

48 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We want to clear ALL Finding Standard Deviation END

49 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Yes reset all Finding Standard Deviation END

50 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We really do agree AC Finding Standard Deviation END

51 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We want the calculator in STATS mode Finding Standard Deviation END

52 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We want the calculator in STATS mode Finding Standard Deviation END

53 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We only have 1 variable Finding Standard Deviation END

54 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We now input our data pressing = after each term Finding Standard Deviation END

55 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation END

56 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation END

57 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation END

58 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Repeat this process until the data is entered Finding Standard Deviation END

59 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We have finished inputting the data. We now need to get to where we can analyse it Press AC Finding Standard Deviation END

60 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We need to analyse the STATS we have input Finding Standard Deviation END

61 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation We need to analyse the STATS we have input END

62 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation We want to see the Var iance END

63 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 We want the standard Deviation σx Finding Standard Deviation END

64 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 Finding Standard Deviation END

65 Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4 This is the standard deviation of the data set To see more analysis details, analyse the data again Finding Standard Deviation END

66 Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END

67 Find the Correlation Coefficient for the following data We first need to make sure the calculator is CL ea R of all previous content Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

68 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END We first need to make sure the calculator is CL ea R of all previous content

69 We want to clear All Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

70 Yes Reset all Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

71 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 We really do agree AC Finding Correlation Coefficient END

72 We want the calculator in STATS mode Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

73 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 We want the calculator in STATS mode Finding Correlation Coefficient END

74 We have 2 variables Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

75 We now input the first row of the data into the first column of the table pressing = after each term Useful to write the numbers 1,2,3,… above each row so as we can check we are correct Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Finding Correlation Coefficient END

76 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

77 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

78 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Finding Correlation Coefficient END

79 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Finding Correlation Coefficient END

80 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

81 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

82 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

83 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Repeat this process until the first row has been entered Finding Correlation Coefficient END

84 Use the cursor keys to enter the data from the second row Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Finding Correlation Coefficient END

85 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Press the right cursor Finding Correlation Coefficient END

86 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

87 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Input the data from the second row Finding Correlation Coefficient END

88 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 We have finished inputting the data. We now need to analyse the STATS Press AC Finding Correlation Coefficient END

89 We need to analyse the STATS we have input Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 1 2 3 4 5 6 7 8 9 Finding Correlation Coefficient END

90 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient We need to analyse the STATS we have input END

91 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient We want use Reg ression END

92 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 We want the Correlation Coefficient r Finding Correlation Coefficient END

93 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Press = Finding Correlation Coefficient END

94 We have the Correlation Coefficient of the data To see more analysis details analyse the STAT 1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.53.05.25.02.1001.23.2 No. of tourists (1000’s 5.08.00.84.24.87.49.48.62.6 Finding Correlation Coefficient END

95 The line of Best Fit The calculator uses y = A + Bx Instead of y = mx + c 1: A → the y intercept 2: B → the Slope END

96 Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END


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