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Komok [63]
3 years ago
12

⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they m

ade in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:
Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Practice throws(X) : 4 10 6 15 0 7 11

Free throws(Y) : 8 23 9 34 5 11 27

Using the online linear regression calculator :

ŷ = 2.1559X + 0.3912

2.1559 = slope

0.3912 = intercept

X = independent variable ; y = dependent variable

The Coefficient of determination (R²) = 0.9506² = 0.9036

Quadratic model : y = 0.0961x²+0.7138x+3.8031

Coefficient of determination(R²) = 0.9739² = 0.9485

Exponential model:

a*b^x

Coefficient of determination (R²) = 0.9753² = 0.9512

The exponential model fits the data best.

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densk [106]
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3 years ago
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For the functions f(x)=2x^2+3x+9 and g(x)=−3x+10 find (f⋅g)(x) and (f⋅g)(1)
pashok25 [27]

Step-by-step explanation:

f(x)=2x²+3x+9

g(x) = - 3x + 10

In order to find (f⋅g)(1) first find (f⋅g)(x)

To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)

We have

(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9

Expand

(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9

= 18x² - 120x + 200 - 9x + 30 + 9

Group like terms

(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9

(f⋅g)(x) = 18x² - 129x + 239

To find (f⋅g)(1) substitute 1 into (f⋅g)(x)

That's

(f⋅g)(1) = 18(1)² - 129(1) + 239

= 18 - 129 + 239

We have the final answer as

<h3>(f⋅g)(1) = 128</h3>

Hope this helps you

3 0
4 years ago
–9 = –3(w − 5) help please!
marissa [1.9K]

Answer:

w = 8

Step-by-step explanation:

–9 = –3(w − 5)

-3(w - 5) = -9

w - 5 = 3

w = 5 + 3

w = 8

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3 years ago
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levacccp [35]

Answer:

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The answer is answer B!
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