1. Y¡ notation a) In this course, we are going to use the letter Y to signify a variable using the Y; notation. b) Y; is the ith observation of the data set Y. (Y₁, Y2, Y3... Yn). c) If Y=1, 3, 5, 9, then Y₁=__and Y3=_

19) The graph below cannot be a histogram because? What Am I 120 lli 100 0B 60 40 20 D E a) the bars should be horizontal b) in a histogram the bars must be touching c) It does not show cumulative data t a histogram is NOT a bar graph

Solve the following:

A random sample of 20 adults in a particular country were asked to state what type of birth control method they use. The results are in the table below. None None None Condom Condom Condom Pill Pill Other Other Pill Other Condom Condom Pill None Condom Pill Pill Other a) Since data were collected for            variable(s), the correct graph to make is a       . b) Complete the frequency/relative frequency table. Birth Control Type Frequency Relative Frequency None     Condom     Pill     Other     c) Which of the following is the correct bar chart for the given data?   2468Birth Control TypeFreqNoneCondomPillOther[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,8);axes(1000,2,1,1000,2); fill="blue"; textabs([165,0],"Birth Control…

Question 4The researcher wishes to use graphical descriptive methods to present summaries of the data on each of the two variables: hours worked per week and yearly income, as stored in file HOURSWORKED.jpga) The number of observations (n) is 65 individuals. The researcher suggests using 7 class intervals to construct a histogram for each variable. Explain how the researcher would have decided on the number of class intervals (K) as 7. b) The researcher suggests using class intervals as 10 < X ≤ 15, 15 < X ≤ 20, …, 40 < X ≤ 45 for the hours per week variable and class intervals 40 < X ≤ 45, 45 < X ≤ 50, ..., 70 < X ≤ 75 for the yearly income variable. Explain how the researcher would have decided the width of the above class intervals (or class width). c) Draw and display a histogram for each of the two variables using appropriate BIN values from part (b) and comment on the shape of the two distributions.

a) Use the data in these tables of values to draw two scatter plots on the same pair of axes. Use a different colour for each scatter plot. i) ii) Term number 1 23 4 Term number 1 2 3 4 Term value 1 4 9 16 Term value 4 8 12 16 S b) Write each pattern rule as an algebraic expression. c) Explain the similarities and differences between the two relationships.