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;
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Answer:
Step-by-step explanation:
For plane A,
Equation that represents the relationship between time 'x' and distance 'y' is,
y = 470x
By comparing this equation with the slope-intercept form of the equation,
y = mx + b
m = slope = 470
b = 0
Here, slope represents the speed of plane A.
Therefore, speed of plane A = 470 mi per hour
For plane B,
From the given table,
Slope of the graph = 
= 
= 480
Speed of plane B = 480 miles per hour
Since, speed of plane B is more than plane A,
Plane B is flying faster.
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
<h3>What is the average rate of change?</h3>
The average Rate of Change of the function f(x) can be calculated as;

Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
Learn more about average rate;
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Answer: Summary: 1. Frequency is the number of times a result occurs, while “relative frequency” is the number of times the result occurs divided by the number of times the experiment is repeated. ... On the other hand, relative frequency is determined by using simple division
Step-by-step explanation: