The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
We have data shown in the table:
We can find the exponential regression equation using the data shown.
After calculating from the data:
a = 172.21 and b = 0.99
The correlation coefficient will be:
r = -0.99
The range will be all real numbers.
The domain will be y > 0
As we can see in the graph x ∈R and y>0
After an hour,
Plug x = 60 minutes in the exponential regression equation:
y = 94.22 degree Fahrenheit
After 4 hours, plug x = 240
y = 15.43 degree Fahrenheit
Similarly, we can find any data from the exponential regression equation.
Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.
Learn more about the correlation here:
brainly.com/question/11705632
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