1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rosijanka [135]
1 year ago
15

Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home

Runs a player hits andthe number of times the player strikes out. The following data is for his eight starting players.9Home RunsStrikeouts66111 32 43 29 21 1674 162 238 159 125 101I7511. Write a regression equation for the data above. (MD1)a) y=4.6x + 28.26 b) y=28.26X+4.6

Mathematics
1 answer:
slamgirl [31]1 year ago
7 0

The regression equation of Y on X is given by the following formula:

Y-\bar{Y}=b_{yx}(X-\bar{X})

Where byx is given by the formula:

b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}

Now, the average of X and Y is the sum divided by N, then:

\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}

Replace these values in the formula and find the regression equation as follows:

\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}

The answer is a) y=4.6x+28.26

You might be interested in
You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per s
Kamila [148]
----------------------------
Charlie's Carpets:
----------------------------
Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

----------------------------
Cindy's Carpet
----------------------------

Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

----------------------------
Summary:
----------------------------
Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

----------------------------
Find Cost:
----------------------------
Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

------------------------------------------------------------------------------------
Answer: Cindy's Carpet is cheaper and it will cost $410.40.
------------------------------------------------------------------------------------

4 0
3 years ago
Write down 4 odd digit numbers that will add up to 19
yawa3891 [41]
<h2>There is no 4 odd digits that will add up to 19.</h2>
3 0
2 years ago
Shara collected two different data sets and label them dataset S and data said T.
Kamila [148]

Answer:

What are you asking?

Step-by-step explanation:

4 0
3 years ago
The global minimum of the function f(x)
Talja [164]
Purr chile slay periodt girl bye snatch wig
6 0
2 years ago
How do you solve for y in the equation: <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3Dy-6" id="TexFormula1" title
kozerog [31]

No it isn't.

Explanation:

x/y * y = (y-6) * y

x = y^2 - 6y

A function gives just one y for every x

In this case there will always be 2 y's for every x

Example:

y can be

y = 6

or

y =−6

(0,-6) & (0,6)

5 0
2 years ago
Other questions:
  • An amount of $37,000 is borrowed for 6 years at 5% interest, compounded annually. If the loan is paid in full at the end of the
    13·1 answer
  • URGENT HELP ME PLEASE
    9·1 answer
  • Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq
    15·1 answer
  • There are 1,440 minutes in a day. On average, what percent of the day did those in the United States approximately spend watchin
    8·1 answer
  • Give the function
    11·1 answer
  • What is the y-intercept of this line?​
    9·2 answers
  • The values in the table represent a linear function. what is the common difference of the associated arithmetic sequence?
    12·2 answers
  • 3. Given M(-2, 1) is the midpoint on AB and point A has coordinates (-8, -3), find:
    5·1 answer
  • Plz help me with this.due today!!!
    13·1 answer
  • What is the length of JL?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!