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For this case we must algebraically rewrite the given expression. So:
x: It is the variable that represents an unknown number
"double a number" is represented as:
"6 less than double a number" is represented as:
So, the final expression is:
If we want to rewrite the expression in an equivalent way, we take common factor 2:
Asnwer:
Equivalent expression:
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.
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:
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