Skip to content

Course home

Regression, Correlation and Hypothesis Testing

Regression, Correlation and Hypothesis Testing

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193
Question 89

The total area, AAA hectares, affected by a wildfire is modelled by the formula

A=abt A = ab^t A=abt

where aaa and bbb are constants and ttt is the number of days after the fire was first detected at 6:00 AM on Monday. A graph of log⁡10A\log_{10} Alog10​A against ttt is plotted for the first 3 days. The data points form a straight line with a gradient of 0.14 and a vertical intercept on the log⁡10A\log_{10} Alog10​A axis of 0.85.

a.

Determine the value of aaa and the value of bbb according to the model, rounding your answers to two decimal places.

[3]
b.

Provide a practical interpretation of the constant aaa in the context of this model.

[1]
c.

Use the model to estimate the area affected by the wildfire at 6:00 AM on the following Saturday.

[2]
Markscheme

Regression, Correlation and Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Regression, Correlation and Hypothesis Testing

202 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank