PLEASEEEEE HELP ME
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
The general form of linear regression equation is
.... (1)
where,
Using the graphing calculator, we get
Substitute the values of a and b in equation (1).
The equation of line of best fit is y=0.0142857+2.01071x, where x is number of years and y is height of trees.
Substitute x=22 to find the height of trees after 22 years.
The height of trees after 22 years is 44.25 ft. Therefore the correct option is C.
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The general form of a quadratic (second degree) equation is
, where
is called the Discriminant.
The Discriminant determines how many roots the equation will have as follows:
i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.
In our equation,
, a=1, b=-5, c=7
so the discriminant is D=(-5)^2-4*1*7=25-28<0
Thus the equation has no roots.
Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
The Discriminant determines how many roots the equation will have as follows:
i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.
In our equation,
so the discriminant is D=(-5)^2-4*1*7=25-28<0
Thus the equation has no roots.
Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.