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Using the question 1 sheet in the ‘F2 Random Number Generator’ file, insert the values for x and y in the table below and include a copy with your answers to the following questions.

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Using the question 1 sheet in the ‘F2 Random Number Generator’ file, insert the values for x and y in the table below and include a copy with your answers to the following questions.
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For the bivariate data generated, find the equation of the least squares
regression line of y on x. [10 marks]
Add 5 to the greatest value of x in your table and calculate the estimated
value of y when [2 marks]

Weight (Kg)
Cat litter is sold in bags of 10Kg but it has been found that the weight is not always accurate. A sample of weights can be found in the question 2 sheet in the ‘F2 Random Number Generator’ file. Put the values into the grid below and include a copy with your answers to the following questions.

Calculate the mean weight. [1 mark]
Calculate the standard deviation. [3 marks]
Draw a stem and leaf diagram to represent this data [3 marks]
Explain the mode for this data if it exists or why it does not. [1 mark]

A sample of heights of a group of students can be found in the question 3 sheet in the ‘F2 Random Number Generator’ file. Add the values into the grid below and include a copy with your answers.

Height cm Number of Students
150≤X˂160
160≤X˂165
165≤X˂170
170≤X˂175
175≤X˂180
180≤X˂190
Totals 100

State the class of the median height. [1 mark]
Calculate the mean height. [4 marks]
Calculate the standard deviation. [3 marks]
Draw a cumulative frequency chart to represent these data on
graph paper or the answer sheet if printed (last page of question
paper). [3 marks]
Draw a box plot showing the lower and upper quartiles and median
on graph paper or the answer sheet if printed (last page of question
paper). [3 marks]
Calculate the interquartile range. [1 mark]

The bipartite graph below has an initial matching shown by the thicker lines.

Starting with this initial matching, demonstrate the alternating path algorithm
to find a complete matching. A drawing and the list of the final connections
must be included. [7 marks]

The algorithm below requires the input of , positive integers found in the question 5 sheet of the ‘F2 Random Number Generator’ file.

Trace the algorithm using the table below and submit with your answers. [7 marks]

b. What is the relevance of the printed value to the input values? [1 mark]

x y x y Printout