The population of a specific bacteria colony ( $N$ ) recorded $h\,$ hours after an experiment began is shown in the table below.


$h$	1	2	4	7	10	12
$N$	190	290	660	2300	7900	18000

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

The regression line of $y\,$ on $x\,$ is found to be $y = 2.10 + 0.18 x$ .

Given that the data can be modelled by an equation in the form $N = ab^h$ where $a\,$ and $b\,$ are constants, find the values of $a\,$ and $b\,$ to 3 significant figures.

Give an interpretation of the constant $a\,$ in this equation.

Explain why this model might not be reliable for predicting the population after 1 week.

The population of a specific bacteria colony ( $N$ ) recorded $h\,$ hours after an experiment began is shown in the table below.


$h$	1	2	4	7	10	12
$N$	190	290	660	2300	7900	18000

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

The regression line of $y\,$ on $x\,$ is found to be $y = 2.10 + 0.18 x$ .

Given that the data can be modelled by an equation in the form $N = ab^h$ where $a\,$ and $b\,$ are constants, find the values of $a\,$ and $b\,$ to 3 significant figures.

Give an interpretation of the constant $a\,$ in this equation.

Explain why this model might not be reliable for predicting the population after 1 week.

Regression, Correlation and Hypothesis Testing

Question 14

Markscheme

Regression, Correlation and Hypothesis Testing

Question 14

Markscheme

Regression, Correlation and Hypothesis Testing

Question 14

Regression, Correlation and Hypothesis Testing Questions

Regression, Correlation and Hypothesis Testing

Question 14

Regression, Correlation and Hypothesis Testing Questions