Based on the figure below, if this is from a multiple regression with 5 predictor variables, which coefficient has the most suitable value to indicate the variance explained?

Please state the model (equation) from the regression output as below.

Please answer the following questions based on the output below.

Are there any significant differences between the house a student has been allocated to and any of their Hogwarts subjects? Tick as many as apply from the options below.

Match up the statements with the appropriate subject.

Draft a chart showing mean scores for wizards and witches and all the Hogwarts subjects. Also include a reference line showing the mean score for all students and overall Hogwarts average.

What is the lowest possible score that a student to for their total Hogwarts score?

What was the lowest score that a male student got for the Average of Hogwarts examinations?

Still using only the male respondents in the sample, what is the mean score for GCSE?

The standard deviation tells us the 'size of the range' around the mean score. In other words it tells us how dispersed the data is in relation to the mean. A low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

What is the standard deviation for males in their GCSE examinations? (Use 2 decimal places)