The temperature difference, $∘C\theta\,^{\circ}\text{C}$ , between a heated metal block and its surroundings is recorded $t\,$ minutes after cooling begins.

The data are coded using the changes of variable $x = t$ and $y=log⁡10θy=\log_{10}\theta$ .

The regression line of $y\,$ on $x\,$ is found to be

$y = 1.60 - 0.040 x$

Express $\theta\,$ in the form $ab^t$ , where $a\,$ and $b\,$ are constants. Give the values of $a\,$ and $b\,$ to 3 significant figures.

Use the model to find the temperature difference after 15 minutes.

The temperature difference, $∘C\theta\,^{\circ}\text{C}$ , between a heated metal block and its surroundings is recorded $t\,$ minutes after cooling begins.

The data are coded using the changes of variable $x = t$ and $y=log⁡10θy=\log_{10}\theta$ .

The regression line of $y\,$ on $x\,$ is found to be

$y = 1.60 - 0.040 x$

Express $\theta\,$ in the form $ab^t$ , where $a\,$ and $b\,$ are constants. Give the values of $a\,$ and $b\,$ to 3 significant figures.

Use the model to find the temperature difference after 15 minutes.

2 Statistics

Question 123

Markscheme

2 Statistics

Question 123

Markscheme

2 Statistics

Question 123

2 Statistics Questions

2 Statistics

Question 123

2 Statistics Questions