James runs a fish and chip shop. He records the average daily temperature, t∘Ct^{\circ}\text{C}t∘C, and the daily sales, £S\pounds S£S, for 9 days in the summer. The product moment correlation for these data is 0.58
James calculated the linear regression equation as S=4826+156tS = 4826 + 156tS=4826+156t
Give an interpretation of the gradient of this regression equation.
340 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.