A stem and leaf plot can only have one stem and one set of leaves.
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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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Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula:
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
Simplify:
18 - 14 = 4
1 - 0 = 1
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14