DP Mathematics: Analysis and Approaches Questionbank

One of the adults surveyed is $42$ years old. Estimate the age of their eldest child.

Find the mean age of all the adults surveyed.

Find the value of a and the value of b.

Find the value of p and the value of q.

Jennifer was absent for the first test but scored 29 marks on the second test. Use an appropriate regression equation to estimate Jennifer’s mark on the first test.

Let L₂ be the regression line of y on x. The lines L₁ and L₂ pass through the same point with coordinates (p , q).

Find the value of p and the value of q.

Find the value of a and the value of b.

Calculate the number of students in each grade in the sample.

Show that 3 students will be selected from grade 12.

State the name for this type of sampling technique.

Explain why the value of $r$ makes it appropriate to find the equation of a regression line.

Another student at the school, Jasmine, has a self-esteem value of 29.            

By finding the equation of an appropriate regression line, estimate the time Jasmine spent on social media the previous day.

Interpret the meaning of the value of $r$ in the context of the principal’s concerns.

State the name for this type of sampling technique.

Calculate Pearson’s product moment correlation coefficient, $r$.

State suitable hypotheses $H_0$ and $H_1$ to test Peter’s claim, using a two-tailed test.

Carry out a suitable test at the 5 % significance level. With reference to the $p$-value, state your conclusion in the context of Peter’s claim.

Peter uses the regression line of $y$ on $x$ as $y=0.248x+83.0$ and calculates that a student with a Mathematics test score of 73 will have a running time of 101 seconds. Comment on the validity of his calculation.