Mathematics > GCSE QUESTION PAPER > Pearson Edexcel Level 3 GCE 9FM0/4B 2022 Further Mathematics Advanced PAPER 4B: Further Statistics 2 (All)

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Pearson Edexcel Level 3 GCE 9FM0/4B 2022 Further Mathematics Advanced PAPER 4B: Further Statistics 2

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Kwame is investigating a possible relationship between average March temperature, t°C, and tea yield, ykg/hectare, for tea grown in a particular location. He uses 30 years of past data to produce t ... he following summary statistics for a linear regression model, with tea yield as the dependent variable. Residual Sum of Squares (RSS) = 1 666567 Stt = 52.0 Syy = 1774155 least squares regression line: gradient = 45.5 y-intercept = 2080 (a) Use the regression model to predict the tea yield for an average March temperature of 20°C (1) He also produces the following residual plot for the data. 23222120191817 Temperature (t°C) 800 600 400 200 0 –200 –400 –600 Residual (b) Explain what you understand by the term residual. (1) (c) Calculate the product moment correlation coefficient between t and y (2) (d) Explain why the linear model may not be a good fit for the data (i) with reference to your answer to part (c) (ii) with reference to the residual plot. (2) Question 1 continues on page 4 _____________________________________________________________________________________ _____________________________________________________________________________________ __________________________________________________ [Show More]

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