This document provides a detailed analysis of quantitative bivariate statistical series and numerical sequences, including exercises and solutions. It covers topics such as affine adjustment, geometric sequences, and adjustment lines. The document is suitable for students and professionals in mathematics and statistics.
Extract
[...] It is enough to find y such that : We know that x = 16 Hélène's salary will not reach 2400 euros before 2019." Exercise 2 : A B B B C Details : A B It is enough to replace n in the expression to see if we find C We apply the expression found to the previous question A , the sequence is therefore decreasing and the reason cannot be negative 10/ B Exercise 3 : The number of bacteria present after 20 minutes is 26. The number of bacteria present after 40 minutes is 52. The number of bacteria present after 60 minutes is 104. We have : and so it is a geometric sequence with a ratio of 2. b 6 hours after the break in the cold chain, the number of bacteria in the food preparation reaches 3,407,872. [...]
[...] Quantitative bivariate statistical series, affine adjustment and numerical sequences Exercise The mean point G of the cloud of points has coordinates ; 1806,25) b Using the calculator, we find : The adjustment line D therefore has the equation : The year 2014 corresponds to year 11 Hélène's average monthly salary in 2014 will be approximately 2090 euros. The year 2019 corresponds to year 16. To find the answer, we can use two methods. The graphical method, as in the previous question, or by using the equation of the adjustment line. [...]
