Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

No description given

Calculation of the length and alternative form of the parameteric representation of a curve.

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Statistics and probability. Two questions: using LSD and Tukey yardsticks.

Practice bank of multivariable calculus questions

Divergence of vector fields.

Unit normal vector to a surface, given in Cartesian form.

Cartesian form of the parametric representation of a surface, normal vector, and magnitude.

Outward normals to the surfaces enclosing a region; volume of that enclosed region.

Outward normals to the surfaces enclosing a region; volume of that enclosed region.

No description given

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

Statistics and probability. A question on two factor ANOVA.

Statistics and probability. 2 questions, 1 on two sample t-test and 1 on paired t-test.

Statistics and probability. Two way-anova question.

No description given

Minitab was used to fit both an AR(1) model and an AR(2) to a stationary series. A  table is given summarising the results obtained from Minitab. Choose the most appropriate model and make a forecast based on that model.

Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Approximating integral of a quadratic by Riemann sums . Will include an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Find a regression equation given 12 months data on temperature and sales of a drink. 

Interpreting the minitab output from a logistic regression model of salary against obesity as measured by BMI.

Minitab was used to fit an AR(1) model to a stationary time series. Given the output answer the following questions about the model and use the model to make forecasts.

Asking users to interpret a minitab output to give the coefficients of a multiple regression together with a prediction based on the subsequent equation.

A multiple linear regression model of the form:

\[Y=\beta_0+\beta_1X_1+ \beta_2X_2+\beta_3X_3+\beta_4X_4+\epsilon \]

is fitted to some data in Minitab which generates a table showing estimates of the parameters with associated $p$-values. Determine which variable to exclude first.

One-way ANOVA example

Two factor ANOVA example

Two-way ANOVA example, 5 subjects, 4 treatments.