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.

$\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}$

We have data shown in the table:

We can find the exponential regression equation using the data shown.

$\rm y = ab^x$

After calculating from the data:

a = 172.21 and b = 0.99

$\rm y = 172.21(0.99)^x$

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:

$\rm y = 172.21(0.99)^{60}$

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

$\rm y = 172.21(0.99)^{240}$

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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7 0

2 years ago

Name the minor arc and find its measure.

CaHeK987 [17]

The problem ask to find and choose the correct choice in the following choices that states the name of the minor arc and its measure base on the given date in your diagram. The answer would be letter D. arc AB;174 degree. I hope you are satisfied with my answer

8 0

3 years ago