Content created by Newcastle University

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.

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

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

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.

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.

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

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One-way ANOVA example

LSD and Tukey yardsticks on three treatments. Also one-way Anova test on same set of data.

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Details on inputting numbers into Numbas.

Use the simplex method to solve a linear program.

Paired t-test to see if there is a difference between times take in a task.

Abstract simplex method question. Given optimal tableau, student must identify optimal solution and objective value.

LSD and Tukey yardsticks on five treatments. Also two-way Anova test on same set of data.

Entering numbers in Numbas, Part 1.

Approximating integral of a linear function 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.

Questions on using quantifiers.

Approximating integral of a linear function 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.

Some more questions on set theory - covering set builder notation, cartesian products, complements.

Given sample data find mean, standard deviation, median, interquartile range,

Independent events in probability. Choose whether given three given pairs of events are independent or not.

Uses the $\chi^2$ test to see if there is any significant difference in preferences.

Find out whether the data presented in this question follows a Poisson distribution. Uses the $\chi^2$ test.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

The human resources department of a large finance company is attempting to determine if an employee’s performance is influenced by their undergraduate degree subject. Personnel ratings are used to judge performance and the task is to use expected frequencies and the chi-squared statistic to test the null hypothesis that there is no association.

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.