Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
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Answer:
Choice B
The mathematical model that best fits the data is a polynomial of order 2 as shown on the attachment.
The predicted global mean temperature in 2015 is; 412.24
Step-by-step explanation:
The first step is to obtain a scatter plot of the data and then fit a trend line. A quadratic polynomial fits the data well considering the large value of the coefficient of determination of 0.9984.
To determine the global mean temperature in 2015 we substitute x with 14 in the quadratic model;
y = 0.4643(14)^2 + 0.7976 (14) + 310.07
= 412.24
