You perform an experiment measuring the response on cellular calcium concentration in cell cultures where a certain drug was added at various increasing concentrations (units in mmol/l). The data are in the file "calcium_regression2.csv".

What experimental design is this?

Plot the data. What kind of plot is this? Show confidence intervals.

Perform an appropriate linear regression. What is the best fitting line equation? Show this on the plot, including 95% confidence bands. Check the linear model assumptions using diagnostic plots.

Predict what the calcium level would be for a drug level of 0.55 mmol/l.

Specify the null model.

Analyse the fit of the model, and F-statistic and p-value and report your conclusions (compute all these from first principles using the definitions and show your working).