2.5 Data presentation and interpretation

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Question 16

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

[3]

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

[3]

2.5 Data presentation and interpretation

Question 16

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 $s = \log_{10} y$

[3]

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

[3]

2.5 Data presentation and interpretation

Question 16

Markscheme

2.5 Data presentation and interpretation

Question 16

Markscheme

2.5 Data presentation and interpretation

Question 16

2.5 Data presentation and interpretation Questions

2.5 Data presentation and interpretation

Question 16

2.5 Data presentation and interpretation Questions