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The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (<em>x</em>) 9 12 22 40
Height (<em>y</em>) in 5 17 45 60
Mean of x values,
Mean of y values,
For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,
Compare it with the following logarithmic regression equation, we get
Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
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Errol's bike ride can be modeled by the equation,
Slope of the given equation = which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
ANSWER
The solution set is (4,6)
EXPLANATION
The first equation is
The intercepts are:
(0,18) and (6,0).
We plot the intercepts and draw a straight line through them.
The second equation is,
This equation also passes through,
(0,0) and (1,1.5).
We plot this point too and draw a straight line through them.
The two straight lines intersect at (4,6).
See graph.
Hence the solution set is (4,6).
The solution set is (4,6)
EXPLANATION
The first equation is
The intercepts are:
(0,18) and (6,0).
We plot the intercepts and draw a straight line through them.
The second equation is,
This equation also passes through,
(0,0) and (1,1.5).
We plot this point too and draw a straight line through them.
The two straight lines intersect at (4,6).
See graph.
Hence the solution set is (4,6).