A meteorologist believes that there is a relationship between the daily mean windspeed, w kn, and...

 

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A meteorologist believes that there is a relationship between the daily mean windspeed, w kn, and the daily mean temperature, t C. A random sample of 9 consecutive days is taken from past records from a town in the UK in July and the relevant data is given in the table below. t 13.3 16.2 15.7 16.6 16.3 16.4 19.3 17.1 13.2 w 7 11 8 11 13 8 15 10 11 a) The meteorologist calculated the product moment correlation coefficient for the 9 days and obtained. Using your calculator find the value of the PMCC for this data (3 mark) b) Explain why a linear regression model based on these data is unreliable on a day when the mean temperature is 24 C Question 2 A meteorologist believes that there is a relationship between the daily mean windspeed, w kn, and the daily mean temperature, t C. A random sample of 9 consecutive days is taken from past records from a town in the UK in July and the relevant data is given in the table below. t 13.3 16.2 15.7 16.6 16.3 16.4 19.3 17.1 13.2 W 7 11 8 11 13 8 15 10 11 The meteorologist calculated the product moment correlation coefficient for the 9 days and obtained r = 0.609 State what is measured by the product moment correlation coefficient. (3 marks) c) Stating your hypotheses clearly test, at the 5% significance level, whether or not the windspeed increases as the temperature increase. A meteorologist believes that there is a relationship between the daily mean windspeed, w kn, and the daily mean temperature, t C. A random sample of 9 consecutive days is taken from past records from a town in the UK in July and the relevant data is given in the table below. t 13.3 16.2 15.7 16.6 16.3 16.4 19.3 17.1 13.2 w 7 11 8 11 13 8 15 10 11 a) The meteorologist calculated the product moment correlation coefficient for the 9 days and obtained. Using your calculator find the value of the PMCC for this data (3 mark) b) Explain why a linear regression model based on these data is unreliable on a day when the mean temperature is 24 C Question 2 A meteorologist believes that there is a relationship between the daily mean windspeed, w kn, and the daily mean temperature, t C. A random sample of 9 consecutive days is taken from past records from a town in the UK in July and the relevant data is given in the table below. t 13.3 16.2 15.7 16.6 16.3 16.4 19.3 17.1 13.2 W 7 11 8 11 13 8 15 10 11 The meteorologist calculated the product moment correlation coefficient for the 9 days and obtained r = 0.609 State what is measured by the product moment correlation coefficient. (3 marks) c) Stating your hypotheses clearly test, at the 5% significance level, whether or not the windspeed increases as the temperature increase.