An urban planner monitors the population growth of a developing city over 10 decades. The number of decades, $x$ , and the population in thousands, $y$ , are recorded in the table below.


$x$	1	2	3	4	5	6	7	8	9	10
$y$	18	26	38	55	78	112	158	225	321	460

The data is coded using the changes of variable $r = x$ and $s = \log_{10} y$ .

The product moment correlation coefficient for the coded data is 0.998. Comment on $r\,$ for this model and therefore justify the use of a model in the form $y = ab^x$ where $a\,$ and $b\,$ are constants.

The regression line of $s\,$ on $r\,$ is found to be $s = 1.12 + 0.155 r$ .

Find the values of $a\,$ and $b$ , give your answers to 3 significant figures.

An urban planner monitors the population growth of a developing city over 10 decades. The number of decades, $x$ , and the population in thousands, $y$ , are recorded in the table below.


$x$	1	2	3	4	5	6	7	8	9	10
$y$	18	26	38	55	78	112	158	225	321	460

The data is coded using the changes of variable $r = x$ and $s = \log_{10} y$ .

The regression line of $s\,$ on $r\,$ is found to be $s = 1.12 + 0.155 r$ .

Find the values of $a\,$ and $b$ , give your answers to 3 significant figures.

Regression, Correlation and Hypothesis Testing

Question 26

Markscheme

Regression, Correlation and Hypothesis Testing

Question 26

Markscheme

Regression, Correlation and Hypothesis Testing

Question 26

Regression, Correlation and Hypothesis Testing Questions

Regression, Correlation and Hypothesis Testing

Question 26

Regression, Correlation and Hypothesis Testing Questions