For positive variables $x\,$ and $y$ , the correlation coefficient between $\sqrt{x}\,$ and $\ln y\,$ is 0.995. The fitted regression line is $ln⁡y=1.20+0.450x\ln y=1.20+0.450\sqrt{x}$ .

Explain why the coefficient supports a model in which $\ln y\,$ is linear in $x\sqrt{x}$ .

Express $y\,$ in terms of $x$ , giving the multiplicative constant to 3 significant figures.

Estimate $y\,$ when $x = 16$ .

For positive variables $x\,$ and $y$ , the correlation coefficient between $\sqrt{x}\,$ and $\ln y\,$ is 0.995. The fitted regression line is $ln⁡y=1.20+0.450x\ln y=1.20+0.450\sqrt{x}$ .

Explain why the coefficient supports a model in which $\ln y\,$ is linear in $x\sqrt{x}$ .

Express $y\,$ in terms of $x$ , giving the multiplicative constant to 3 significant figures.

Estimate $y\,$ when $x = 16$ .

2 Statistics

Question 235

Markscheme

2 Statistics

Question 235

Markscheme

2 Statistics

Question 235

2 Statistics Questions

2 Statistics

Question 235

2 Statistics Questions