of a random cubic spline

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

rebelmaths

Horizontal and vertical shifts and scales of a random cubic spline

Doesn't work - used the old extension.

Mark a GeoGebra worksheet.

Needs a worked solution.

Experimental question using JSXGraph to provide dynamic, interactive graphs.

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.

Widget Sales

Widget Sales

Use the specific heat capacity of an object and the change in temperature to calculate the heat added to that object

Using differentiation to find the tangent and normal to a line at a given point

Calculate the Pearson correlation coefficient on paired data and comment on the significance.

rebelmaths

Idenitifying straight-line graph equations

Identifying positive, negative and no correlations.

Self-assessment questions. Solve 50% of the available marks to pass this exercise.

No description given

No description given

Simple counting exercise, with combinations

Introduction to counting with permutations and combinations

Questions around induction, also illustrating statements where only one of induction start/induction step actually works.

Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

Given an ODE solution: $y=  b x^n + cx$

Use a condition: $y(1)=a$ to find the particular solution and hence the value of $y(d)$.

Cálculo del módulo, argumento, multiplicación por conjugado complejo, dados dos números complejos.

Operaciones combinadas con números complejos.

Multiplicación y división de números complejos. 

Inverso y división de números complejos.

Multiplicación y suma de números complejos.

Ejemplos elementales de multiplicación y suma de números complejos. 

Questions on the construction $t+U$ where $K$ is a field, $t\in K^n$, $U\subseteq K^n$ (in parts a) - d), $K=\mathbb R$ and $n=2$ so that we can draw pictures). Part e) is a bit more abstract and probably more difficult.

Deduce some properties of elements of $\mathbb F_4$, given its multiplication table. (E.g., which element is the zero, the one element, ...)