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P1 a4 regression line

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A school café records how many cups of hot chocolate it sells each day and the outdoor temperature at noon. All of its records are from days between 0 °C and 25 °C. It fits a linear regression line to the records:

cups sold = 180 - 6 × temperature

(a) Calculate the number of cups the line predicts on a day when the temperature is 15 °C. [1]

(b) State what the number 6 in the equation tells the café. [1]

(c) Calculate the prediction for a day at -10 °C, and explain why it should not be trusted. [2]

[4]