For a set of observations with $8\leq x\leq32\,$ and $y > 0$ , the correlation coefficient between $x\,$ and $1/y\,$ is 0.987. The fitted regression line is $1y=0.015+0.0025x\dfrac1y=0.015+0.0025x$ .

Explain why the coefficient supports using this transformed regression model.

Express $y\,$ in terms of $x$ .

Use the model to estimate $y\,$ when $x = 20$ .

Explain why the model should not be used when $x = 100$ .

For a set of observations with $8\leq x\leq32\,$ and $y > 0$ , the correlation coefficient between $x\,$ and $1/y\,$ is 0.987. The fitted regression line is $1y=0.015+0.0025x\dfrac1y=0.015+0.0025x$ .

Explain why the coefficient supports using this transformed regression model.

Express $y\,$ in terms of $x$ .

Use the model to estimate $y\,$ when $x = 20$ .

Explain why the model should not be used when $x = 100$ .

2 Statistics

Question 311

Markscheme

2 Statistics

Question 311

Markscheme

2 Statistics

Question 311

2 Statistics Questions

2 Statistics

Question 311

2 Statistics Questions