A football coach measures the height, $h\,$ cm, and the weight, $w\,$ kg, of each of a random sample of 12 players in a league.

The product moment correlation coefficient between $h\,$ and $w\,$ for this sample is 0.81, and the regression line of $w\,$ on $h\,$ for these data is

$w = 1.37 h - 173$

For $n = 12$ , the critical value for a one-tailed test for the population correlation coefficient is 0.4973 at the 5% level and 0.6581 at the 1% level.

Give an interpretation of the gradient of this regression line.

Carry out a hypothesis test at the 5% significance level to determine whether there is a positive correlation between the height and the weight of players in this league.

Determine whether the same conclusion would be reached at the 1% significance level.

A football coach measures the height, $h\,$ cm, and the weight, $w\,$ kg, of each of a random sample of 12 players in a league.

The product moment correlation coefficient between $h\,$ and $w\,$ for this sample is 0.81, and the regression line of $w\,$ on $h\,$ for these data is

$w = 1.37 h - 173$

For $n = 12$ , the critical value for a one-tailed test for the population correlation coefficient is 0.4973 at the 5% level and 0.6581 at the 1% level.

Give an interpretation of the gradient of this regression line.

Carry out a hypothesis test at the 5% significance level to determine whether there is a positive correlation between the height and the weight of players in this league.

Determine whether the same conclusion would be reached at the 1% significance level.

2.2.2 Scatter diagrams and correlation

Question 57

Markscheme

2.2.2 Scatter diagrams and correlation

Question 57

Markscheme

2.2.2 Scatter diagrams and correlation

Question 57

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 57

2.2.2 Scatter diagrams and correlation Questions