James runs a fish and chip shop. He records the average daily temperature, $t∘Ct^{\circ}\text{C}$ , and the daily sales, $£S\pounds S$ , for 10 days in the summer. The product moment correlation for these data is 0.67

Stating your hypotheses clearly and using a 5% significance level, test whether there is a positive correlation between daily sales and daily temperature.

James suggests that a linear regression model could be used to model the data.

State, giving a reason, whether or not the correlation coefficient is consistent with James's suggestion.

State, giving a reason, which variable would be the explanatory variable.

James calculated the linear regression equation as $S = 5148 + 141 t$

Give an interpretation of the gradient of this regression equation.

Stating your hypotheses clearly and using a 5% significance level, test whether there is a positive correlation between daily sales and daily temperature.

James suggests that a linear regression model could be used to model the data.

State, giving a reason, whether or not the correlation coefficient is consistent with James's suggestion.

State, giving a reason, which variable would be the explanatory variable.

James calculated the linear regression equation as $S = 5148 + 141 t$

Give an interpretation of the gradient of this regression equation.

1.3 Hypothesis Testing for Zero Correlation

Question 42

Markscheme

1.3 Hypothesis Testing for Zero Correlation

Question 42

Markscheme

1.3 Hypothesis Testing for Zero Correlation

Question 42

1.3 Hypothesis Testing for Zero Correlation Questions

1.3 Hypothesis Testing for Zero Correlation

Question 42

1.3 Hypothesis Testing for Zero Correlation Questions