The variables $x\,$ and $y\,$ are recorded and the results are shown in the table below


$x$	1	2	3	4	5	6	7	8	9	10
$y$	429	754	871	1119	2478	2653	3050	3279	5470	7439

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 0.98 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 $r\,$ on $s\,$ is found to be $s = 2.60 + 0.127 r$

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

The variables $x\,$ and $y\,$ are recorded and the results are shown in the table below


$x$	1	2	3	4	5	6	7	8	9	10
$y$	429	754	871	1119	2478	2653	3050	3279	5470	7439

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

The regression line of $r\,$ on $s\,$ is found to be $s = 2.60 + 0.127 r$

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

1.6 Exponentials and logarithms

Question 16

Markscheme

1.6 Exponentials and logarithms

Question 16

Markscheme

1.6 Exponentials and logarithms

Question 16

1.6 Exponentials and logarithms Questions

1.6 Exponentials and logarithms

Question 16

1.6 Exponentials and logarithms Questions