Explain the procedure, how you draw the best fit line and the worst fit line on a graph and how you find the uncertainty in the intercept on the y-axis.

 

The period $T$ of a simple pendulum is related to its length $L$ by the equation:

$T=2\pi \sqrt{\frac{L}{g}}$

Where $g$ is the acceleration of free fall.

A student measures the time $t$ for $10$ oscillations for different lengths $L$. This table shows her data.

Determine the gradient of your line and include the uncertainty in your answer.

Readings are taken of the resistance $R$ of a thermistor at different temperatures $T$. It is suggested that the relationship between $R$ and $T$ is $R=k{T}^n$, where $k$ and $n$ are constants. Values for $T$ and $R$ are shown in the given table:

Complete the table and include absolute uncertainties in $\log \left(\mathrm{R}/\mathrm{\Omega }\right)$.

Readings are taken of the resistance $R$ of a thermistor at different temperatures $T$. It is suggested that the relationship between $R$ and $T$ is $R=k{T}^n$, where $k$ and $n$ are constants.

Draw the line of best fit and a worst acceptable line on your graph.

Readings are taken of the resistance $R$ of a thermistor at different temperatures $T$. It is suggested that the relationship between $R$ and $T$ is $R=k{T}^n$, where $k$ and $n$ are constants.

Determine the $y$ -intercept of your graph (this is where the $x$ -value, in this case, $\lg (T/\mathrm{K})$, is zero). Give the uncertainty in your value.