Correlation & linear regression The following table shows data on attendance and exam scores for two classes Attendance

[answerhappygod]

Correlation Linear Regression The Following Table Shows Data On Attendance And Exam Scores For Two Classes Attendance 1 (363.81 KiB) Viewed 10 times

Correlation & linear regression The following table shows data on attendance and exam scores for two classes Attendance Class A exam score (out of 60) Class B exam score (out of 60) 55% 25 30 60% 28 24 65% 32 34 70% 40 49 75% 44 42 80% 49 37 85% 50 56 90% 55 49 95% 54 58 0000 100% 59 40 a) Draw scatter diagram(s) to show the above data (4 marks) b) Comment on the correlation shown for both class A and class B in the scatter diagrams (2 marks) c) Which class would you expect to have the highest Coefficient of Correlation? Explain your answer (2 marks) d) If the regression equation for group A is y = 0.77x - 16.3, what mark would you expect a student who had attended 45% of classes to attain? (2 marks)
Time series graph analysis The table below shows the number of visits, in thousands, to France by UK residents over a 3-year period: Year Quarter Number of visits (thousands) 82 101 122 114 2007 2007 2007 2007 2008 2008 2008 2008 2009 2009 2009 2009 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 99 106 129 118 105 116 145 126 a) Calculate the appropriate moving average figures from the above table. (2 marks) b) To represent the data, draw a time series graph, plot moving averages and create a trend line. (6 marks) c) Give four comments explaining what your Time Series graph shows about the number of visitors to France. marks)
Normal & Z distribution The Height distribution of 700 Scottish men is modelled by the normal distribution, with mean 174 cm and standard deviation 10 cm. a) Calculate the probability of a man being greater than 180 cm in height (2 marks) (2 marks) b) Estimate the number of men with height greater than 180 cm (to 3 s.f.) c) If 5% of the Scottish men have been selected to join a basketball team by having a height of x or more, estimate the value of x (to 3 s.f.) (4 marks) d) Calculate the probability of a man being less than 150 cm in height e) Estimate the number of men with height of less than 150 cm (to 1 s.f.) f) Calculate the probability of a man being between 170 and 190 cm in height (2 marks) (2 marks) (3 marks)
Probability Question 1 There are 4 blue and 6 green balls in a bag. A ball is selected at random without replacement. A second ball is then selected at random. a) Draw a tree diagram to represent all of the possible outcomes. (3 marks) b) What is the probability of two blue balls being selected? Give your answer to 3 d.p. (2 marks) c) What is the probability that 1 blue and 1 green ball are selected, in any order? Give your answer to 3 d.p. (3 marks) Question 2 A researcher selected randomly 10 candidates for a reality tv show. If 10% of the candidates to this show pass the first round, find the probability (to 3 d.p.) that: a) None of the candidates in this researcher sample will pass the first round. b) The majority of the candidates in this sample will not pass the first round. (4 marks) (8 marks)