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Gekata [30.6K]3 years ago

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Answer:

A movie: For entertainment!!!

Step-by-step explanation:

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You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averag

Vsevolod [243]

Answer:

The estimated value of the Batting Average is 0.229.

Step-by-step explanation:

In this case regression analysis is to performed to determine if there is a significant linear relationship for Batting Averages with Runs Score, Doubles, Triples, Home Runs and Strike Outs.

The independent and dependent variables are as follows:

y = Batting Averages

x₁ = Runs Score/Times at Bat

x₂ = Doubles/Times at Bat

x₃ = Triples/Times at Bat

x₄ = Home Runs/Times at Bat

x₅= Strike Outs/Times at Bat

The regression analysis can be performed in Excel.

Consider the regression output attached.

The regression equation is as follows:

$y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}$

Now estimate the Batting Average when Run Score (x₁) = 0.123, Doubles ( x₂) = 0.040, Triples (x₃) = 0.0045 , Home Runs ( x₄) = 0.009 and Strike Outs (x₅) = 0.189 as follows:

$y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}$

$=0.183+(0.447\cdot 0.123)+(0.991\cdot 0.040)+(0.622\cdot 0.0045)\\+(0.274\cdot 0.009)-(0.285\cdot 0.189)\\\\=0.229021\\\\\approx 0.229$

Thus, the estimated value of the Batting Average is 0.229.

5 0

4 years ago

Evaluate the following integral, where R is bounded by , , and . Question content area bottom Part 1 enter your response here

Volgvan

$\iint_{R} y^{2} d A=\int_{x=-2}^{3} \int_{y=-x-2}^{3 x+6} y^{2} d x d y d x$

$\text { (taking Strip as shown). }$

$=\int_{-2}^{3}\left(\frac{y^{3}}{3}\right)_{-x-2}^{3 x+6} d x$

$=\frac{1}{3} \int_{-2}^{3}(3 x+6)^{3}-(-x-2)^{3} d x$

$\begin{gathered}=\frac{1}{3}[4375]=\frac{4375}{3} \\=1458.33\end{gathered}$

What is integral ?

Calculating an integral is called integration.
Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc.
When we discuss integrals, we often refer to definite integrals.
For antiderivatives, indefinite integrals are utilized.
Apart with differentiation, integration is one of the two main calculus subjects in mathematics (which measure the rate of change of any function with respect to its variables).
It's a broad subject that is covered in courses at the higher grade levels, such classes 11 and 12.
Broadly speaking, integration by parts and via substitution is explained.
You will discover the definition of integrals in mathematics, the integration formulae, and examples here.

So the more about integral visit.

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