James runs a fish and chip shop. He records the mean daily temperature, $∘Ct\,^{\circ}\text{C}$ , and the daily sales, $£S\pounds S$ , on each of 10 randomly chosen days in the summer.

The product moment correlation coefficient between $t\,$ and $S\,$ for these data is 0.67.

For $n = 10$ , the critical value for a one-tailed test at the 5% level for the population correlation coefficient is 0.5494.

Carry out a hypothesis test at the 5% significance level to determine whether there is a positive correlation between daily sales and mean daily temperature.

James suggests that a linear regression model could be used for these data. State, giving a reason, whether the value of the correlation coefficient is consistent with James's suggestion.

State, giving a reason, which of the two variables is the explanatory variable.

James runs a fish and chip shop. He records the mean daily temperature, $∘Ct\,^{\circ}\text{C}$ , and the daily sales, $£S\pounds S$ , on each of 10 randomly chosen days in the summer.

The product moment correlation coefficient between $t\,$ and $S\,$ for these data is 0.67.

For $n = 10$ , the critical value for a one-tailed test at the 5% level for the population correlation coefficient is 0.5494.

Carry out a hypothesis test at the 5% significance level to determine whether there is a positive correlation between daily sales and mean daily temperature.

James suggests that a linear regression model could be used for these data. State, giving a reason, whether the value of the correlation coefficient is consistent with James's suggestion.

State, giving a reason, which of the two variables is the explanatory variable.

2.2.2 Scatter diagrams and correlation

Question 30

Markscheme

2.2.2 Scatter diagrams and correlation

Question 30

Markscheme

2.2.2 Scatter diagrams and correlation

Question 30

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 30

2.2.2 Scatter diagrams and correlation Questions