A telecommunications engineer is investigating the signal intensity, $S$ (measured in picowatts), at a distance $d$ (measured in metres) from a radio transmitter. The relationship is modelled by $S = ad^b$ , where $a\,$ and $b\,$ are constants.

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

Regression, Correlation and Hypothesis Testing

Question 130

Markscheme

Regression, Correlation and Hypothesis Testing

Question 130

Markscheme

Regression, Correlation and Hypothesis Testing

Question 130

Regression, Correlation and Hypothesis Testing Questions

Regression, Correlation and Hypothesis Testing

Question 130

Regression, Correlation and Hypothesis Testing Questions