The goal of this exercise is to construct a new statistic for NBA players, based on aspects of basketball that are not directly related to scoring, but which are important for winning games. Dataset 7.11 contains data on three NBA seasons, 2015-16 to 2017-18. For each team, in each season, several performance variables are recorded, along with the team’s average points scored per game minus its average points allowed per game (the variable DIFF). The performance variables are ORB, offensive rebounds, DRB, defensive rebounds, STL, steals, BLK, blocks, and TOV, turnovers; each of these is measured on a per-game basis for the team.
A. Find the linear function of ORB, DRB, STL, BLK, and TOV that has maximum correlation with DIFF. Note that, because each NBA team plays the same number of games, this linear function also maximizes the correlation if all variables are season totals (per game statistics were used for convenience).
B. Does the linear function make sense as a measure of performance for an NBA player? For instance, do the coefficients have the correct sign (positive or negative) and are the relative magnitudes of the coefficients appropriate?
Answers
To find the linear function of ORB, DRB, STL, BLK, and TOV that has maximum correlation with DIFF, we can perform a multiple linear regression analysis.
This will allow us to determine the coefficients for each variable that maximize the correlation with DIFF. In the regression analysis, we would use DIFF as the dependent variable and ORB, DRB, STL, BLK, and TOV as the independent variables. The regression equation would be: DIFF = β₀ + β₁ORB + β₂DRB + β₃STL + β₄BLK + β₅TOV. Where β₀, β₁, β₂, β₃, β₄, and β₅ are the coefficients to be estimated. By fitting the regression model to the data and estimating the coefficients, we can find the linear function that maximizes the correlation with DIFF. Regarding whether the linear function makes sense as a measure of performance for an NBA player, we need to consider the sign and relative magnitudes of the coefficients. If the coefficient for a variable is positive, it suggests that an increase in that variable (e.g., ORB, DRB, STL, BLK, or TOV) is associated with an increase in DIFF, indicating a better performance. If the coefficient for a variable is negative, it suggests that an increase in that variable is associated with a decrease in DIFF, indicating a worse performance. The relative magnitudes of the coefficients indicate the strength of the relationship between each variable and DIFF. Larger coefficients suggest a stronger influence on the performance measure.
By examining the coefficients obtained from the regression analysis, we can assess whether they have the correct sign and appropriate magnitudes, and therefore determine if the linear function is a reasonable measure of performance for an NBA player.
To learn more about linear function click here: brainly.com/question/29205018
#SPJ11
Related Questions
find the lemgth of arc PQ
Answers
The arc length is D) 3.14 meters.
What is arc length?
In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.
It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.
The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.
\(A_L=\frac{\theta}{360\textdegree}2\pi r\)
Here the give circle Radius PR = 3m and θ=60°.
Now using arc length formula then,
=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)
=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)
=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)
=> \(A_L\) = 3.14 m.
Hence the arc length is D) 3.14 meters.
Learn more about Arc length at
https://brainly.com/question/28108430
#SPJ1
Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
Answers
You have to find the area of a rectangle, then find the the area of a circle then divide the area of the circle by 2, then subtract the area of the rectangle by whatever you got from dividing the are of the circle.
A man got 16 m profit by selling 48 m piece of clothes, find his profit percent (%).
Answers
Answer:
Gain perceent= (SP-CP)/CP *100
By selling 48 metres of cloth I gain the selling price of 16metres.
Let SP of 48m cloth = 48x
Gain = 16x
CP of 48m cloth = 48x - 16x = 32x
Gain % = gain/CP × 100
Gain % =32x/16x × 100 =
i.e200% his profit is 200 %Step-by-step explanation:
Please Help!!! All my points are on this.
The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (π/4,4). Write the formula of the function, where x is entered in radians.
F(x) =
Answers
Answer:
y = 6 sin(2x+π/2) +4
Step-by-step explanation:
Given:
-sinusoidal function
-maximum point at (0,10)
-intersects its midline at (π/4,4)
Build the function:
y = sin x , we start with this because is a sinusoidal function
y = sin (x+ π/2), to move the maximum on the y-axis where x= 0
y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need
y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to a (π/4, 4)
y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6
2. sonia is planning on taking a trip and has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2. (a) how much will sonia spend on each category (airfare, accommodations, food)?
Answers
Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .
What is division ?Multiplication is the polar opposite of division. If three groups of four add up to 12, then division of 12 into three groups of equal size yields four in each group.The basic objective of splitting is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.
Given that: She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.
She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.
let the sonia spend x
4x + 3x +2x = $3600
9x = $3600
x=$400
On airfare sonia will spend 4 × $400 = $1600
On accommodations sonia will spend 3 × $400 =$1200
On food sonia will spend 2 × $400 = $800
Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .
To learn more about division visit:
brainly.com/question/2273245
#SPJ4
Problem 2 (35 points). Give a regular expression that generates the language L = {a,b,c}*la is never followed immediately by b}. Sample strings in L: aa, bb, cc, ac, acb Sample strings not in L: ab, c
Answers
The regular expression (a|b|c)*([^b]a|$) generates the language L where 'a' is never followed immediately by 'b'.
Regular Expression: (a|b|c)*([^b]a|$)
(a|b|c)* matches any combination of 'a', 'b', or 'c' zero or more times.
[^b] matches any character except 'b'.
(^[^b]a|$) ensures that 'a' is either at the beginning of the string or is not immediately followed by 'b'. Here, ^ represents the beginning of the string and $ represents the end of the string.
This regular expression generates the language L = {a,b,c}* where 'a' is never followed immediately by 'b'.
Sample strings in L:'aa': 'a' is followed by 'a', not 'b'.
'bb': 'b' is not preceded by 'a'.
'cc': 'c' is not preceded by 'a'.
'ac': 'a' is not followed by 'b'.
'acb': 'a' is not followed immediately by 'b'.
Sample strings not in L:
'ab': 'a' is immediately followed by 'b'.
'c': 'c' is not preceded by 'a'.
In summary, the regular expression (a|b|c)*([^b]a|$) generates the language L where 'a' is never followed immediately by 'b'.
LEARN MORE ABOUT expression here: brainly.com/question/14083225
#SPJ11
Solve for x: 3(x + 1) = −2(x − 1) − 4
Group of answer choices:
1
−1
−5
−25
Answers
Answer:
x = -1
Answer choice B. -1 is correct
Step-by-step explanation:
3(x + 1) = −2(x − 1) − 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
-3 -3
-------------------------------
3x = -2x - 5
+2x +2x
--------------------------------
5x = -5
/5 /5
--------------------------------
x = -1
3(x+1)= -2(x-1)-4
3x+3 =-2x-2
-3 -3
3x = -2x-5
+2x = +2x
5x = -5
5x/5 = -5/5
X = -1
najib brought a handheld game console for $289 after a 15% discount how much was the discount .. and what was the usual price of the handheld game console
Answers
Answer:
340
Step-by-step explanation:
289=85%*x
289=.85*x
289/.85=x
x=340
If the distance from A to B is 7 units, which of the following could be used to calculate the coordinates for point B? 07. Vix + 4y + +(y + 5)2 07. Vix + 5)2 + (y + 45° 07. V(x - 4) +(y – 5) 07. Vix - 5) + (y - 4)
Answers
The coordinates for point B are 7 = √(x - 5)² + (y - 4)².
What is the distance formula?
The distance formula is used to calculate the length of the line which joins the two points in an x−y plane. The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line.
Here, we have
Given: Segment AB Has point A located At (5, 4). If The Distance from A To B Is 7 units.
To find the distance between any two the following formula is used.
D = √(x₂ - x₁)² + (y₂ - y₁)²
7 = √(x - 5)² + (y - 4)²
Hence, the coordinates for point B are 7 = √(x - 5)² + (y - 4)².
To learn more about the distance formula from the given link
https://brainly.com/question/24386522
#SPJ4
7. Parallelogram CDEF has vertices C(3, 2), D(8, 4), E(6, -3) and F(1, -5). Its image has vertices
C'(-6, 6), D'(-1, 8), E’(-3, 1), and
F’(-8, -1). Write a rule to represent this translation.
Answers
A rule to represent this translation include the following (x, y) → (x - 9, y + 4).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.C(3, 2) → C'(-6, 6)
3 + x = -6
x = -6 - 3 = -9.
y + 2 = 6
y = 6 - 2 = 4.
Therefore, the transformation rule is (x, y) → (x - 9, y + 4)
Read more on translation here: brainly.com/question/16486008
#SPJ1
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 99.7% of the time?
Answers
Using the Empirical Rule, the amount of water dispensed will be found 99.7% of the time in the range of 11.15 ounces and 12.05 ounces.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.The mean and the standard deviation are given, respectively, by:
11.6 ounces and 0.15 ounces.
The bounds within 3 standard deviations of the mean, corresponding to 99.7% of the interval, are given as follows:
11.6 - 3 x 0.15 = 11.15 ounces.11.6 + 3 x 0.15 = 12.05 ounces.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
what is the area of a sector of a circle with a radius of 8 inches and formed by a cetnral angle that measures 60
Answers
The area of the sector is 16π square inches.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360) x \(\pi r^2\)
where r is the radius of the circle.
In this case, the radius is given as 8 inches.
We are also given that the central angle measures from 60 to 150 degrees. To calculate the area of the sector, we need to find the size of the central angle first.
To do this, we subtract the smaller angle from the larger angle:
150 - 60 = 90 degrees
So, the central angle is 90 degrees.
Now, we can substitute the values into the formula:
Area of sector = (90/360) x \(\pi 8^2\)
Area of sector = (1/4) x π(64)
Area of sector = 16π square inches
To learn more about area
https://brainly.com/question/27683633
#SPJ4
Please help brainiest will be award
Answers
Answer:
137 degrees the comments under this dont read them they are incorrect but this is right i got 100% on my test because put 137
Step-by-step explanation:
Answer:
137° or maybe 136°
Pic is not clear!
how do I find the correct answer for the blank?
Answers
nnnnnnnnnnnnnnvvvvvvvvvvvvmmmmmmmmmm k
Answers
A rectangular vegetable patch has a perimeter of 40 meters. Its area is 64 square meters. What are the dimensions of the vegetable patch?
Answers
The dimensions of the vegetable patch are 8 meters by 12 meters or 12 meters by 8 meters.
Let's assume the length of the vegetable patch is L and the width is W.
Given, the perimeter of the rectangular vegetable patch = 40 meters.
Perimeter = 2(L+W) = 40
Simplifying the above equation, we get
L+W = 20 (Equation 1)
Also, given that the area of the vegetable patch = 64 square meters.
Area = L*W = 64
From Equation 1, we can write W = 20-L
Substituting W in terms of L in the area equation, we get
L*(20-L) = 64
Expanding the above equation, we get
-L^2 + 20L - 64 = 0
Solving the quadratic equation, we get two possible values for L.
L = 8 or L = 12
If L = 8, then W = 20 - L = 12
If L = 12, then W = 20 - L = 8
Therefore, the dimensions of the vegetable patch are 8 meters by 12 meters or 12 meters by 8 meters.
Learn more about vegetable patch,
https://brainly.com/question/16606311
#SPJ4
NEED HELP! [URGENT] Submit the worksheet with your constructions to your teacher to be graded.
![NEED HELP! [URGENT] Submit the worksheet with your constructions to your teacher to be graded.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/OzKdnjKxRTOZqw7ryY5PSp0l8u9121WC.png)
Answers
give me more details. that's a bit confusing
John and amber work at an ice cream shop the hours worked and wages earned are given for each person
Answers
John's wages are proportional to time as the hourly wage is same for all values of time given.
Proportional means that two quantities vary in direct proportion to each other. When the value of one quantity doubles, the value of the other also doubles.
In order to determine if John's wages are proportional to time, we need to find the ratio of the two quantities, wages and time.
We can calculate John's hourly wage (proportionality constant) by dividing his total wages by the number of hours worked:
Hourly wage = Total wages / Time
For example, the hourly wage for 2 hours is:
Hourly wage = 18 / 2
Hourly wage = 9
Similarly, we can calculate the hourly wages for the other times and we'll find that the proportionality constant is the same 9 for all number of hours.
Since the hourly wage is constant for all values of time, we can say that John's wages are proportional to time.
Complete Question: content loaded
John and amber work at an ice cream shop the hours worked and wages earned are given for each person:
John's wages
Time (in hours) Wages (in dollars)
2 18
3 27
4 36
Determine if John's wages are proportional to time
To know more about proportional refer here:
https://brainly.com/question/31548894
#SPJ11
The ratio of a model car to a regular car is 1:16. The model is 2:35 inches long. What is the length of the actual car in feet and inches?
Answers
Answer:
27.26
Step-by-step explanation:
Rewrite 9\9 as a whole number.
Answers
Answer:
1
Step-by-step explanation:
9 goes into 9 once, so 9/9 = 1
An electrician charges $40 to come to your house. She also charges $55 for each hour that she works. The electrician charges you a total of $205. How many hours does the electrician work at your house? Use h for the number of hours.
Answers
Plus the house fee is 165+40=205$
The electrician spent 3h at your house
what is 45.5% of 132.24km ?
Answers
Answer:
60.1692 kilometers
Step-by-step explanation:
Percent Value: 45.5%
Number: 132.24
45.5% of 132.24...
... is equivalent to multiplying them:
45.5% × 132.24 ≈ 60.1692
Arun has 72 coins. He has 5-cent and 10-cent coins in the ratio 5: 3.
Arun said: I have just over
$5 in total.
Is Arun correct? Explain your answer. Show your working.
Answers
Arun is not correct - he has just under $5 in total, not just over.
How to determine how much Arun has in totalLet's start by finding out how many 5-cent and 10-cent coins Arun has.
Let the number of 5-cent coins be 5x and the number of 10-cent coins be 3x (since the coins are in the ratio 5:3).
Then the total value of the 5-cent coins is 5x0.05 = 0.25x dollars, and the total value of the 10-cent coins is 3x0.1 = 0.3x dollars.
So the total value of all the coins is 0.25x + 0.3x = 0.55x dollars.
Since Arun has 72 coins, we know that 5x + 3x = 72, or 8x = 72, or x = 9.
Therefore, Arun has 5x = 59 = 45 5-cent coins and 3x = 39 = 27 10-cent coins.
The total value of these coins is 450.05 + 270.1 = 2.25 + 2.7 = 4.95 dollars.
So Arun is not correct - he has just under $5 in total, not just over.
Learn more about total value at https://brainly.com/question/25109150
#SPJ1
The function f(x)=80(1.5)x models a bacteria population after x hours. how does the average rate of change between hour 4 and hour 8 compare to the average rate of change between hour 0 and hour 4?
Answers
The average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given,
The function f(x)=80(1.5)x
where x is the time in hours
Then,
f(4)=80(1.5)4=480
f(8)=80(1.5)8=960
f(0)=80(1.5)0=0
Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)
=120 units per hour
The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)
=120 units per hour
Hence, the average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
Learn more about function here
brainly.com/question/12431044
#SPJ4
uesday 3/7/23 SWYK Unit 5 Lessons 17 and18
POSSIBLE POI
A saving account pays 3% nominal annual interest rate and has a balance of $1,000. Any interest earned is deposited into the account and no furth
deposits or withdrawals are made.
Write an expression that represent the balance in one year if interest is compounded annually.
Answers
Solve by substitution. 2x+5y = 13
3x = 7 +5y
will give brainliest
Answers
Answer:
(4.1) Equation Form: x = 4 , y = 1
Answer: (4,1)
Step-by-step explanation:
A canoe is approaching a lighthouse on the coastline of a lake. The front of the
canoe is 1.3 feet above the water and an observer in the lighthouse is 115 feet above the water.
At 5:00, the observer in the lighthouse measured the angle of depression to the front of the canoe to be 6.5°. Five minutes
later, the observer measured and saw the angle of depression to the front of the canoe had increased by 42.2º.
Determine to the nearest tenth of a foot per minute, the average speed at which the canoe traveled toward the lighthouse.
Answers
The average speed at which the canoe traveled toward the lighthouse is approximately 17.2 feet per minute.
How to solve for the average speedA is the front of the canoe
B is the position of the observer in the lighthouse
AB is the distance between the front of the canoe and the observer
θ1 is the angle of depression at 5:00
θ2 is the angle of depression at 5:05
h is the height of the front of the canoe above the water (1.3 feet)
We want to find the speed at which the canoe is traveling toward the lighthouse, which we'll call x feet per minute.
Using trigonometry, we can find the following relationships:
tan(θ1) = h / AB (1)
tan(θ2) = h / (AB + 5x) (2)
We can rearrange equation (1) to solve for AB:
AB = h / tan(θ1) (3)
Substituting equation (3) into equation (2), we get:
tan(θ2) = h / (h / tan(θ1) + 5x)
tan(θ2) = tan(θ1) / (1 + 5x * tan(θ1) / h) (4)
We can solve equation (4) for x:
x = (tan(θ1) / (tan(θ2) - tan(θ1))) * h / 5 (5)
Now we just need to plug in the values we know:
θ1 = 6.5°
θ2 = 48.7° (since θ2 = θ1 + 42.2°)
h = 1.3 feet
Plugging these into equation (5), we get:
x = (tan(6.5°) / (tan(48.7°) - tan(6.5°))) * 1.3 / 5
x ≈ 17.2 ft/min
Therefore, the average speed at which the canoe traveled toward the lighthouse is approximately 17.2 feet per minute.
Read more on average speed here:https://brainly.com/question/4931057
#SPJ1
The distance between two points is 25. Find the other two possible endpoints when one endpoint is -32.
Answers
The other two points would be 25 lower than and 25 higher than the starting point.
-32 - 25 = -57
-32 + 25 = -7
The two endpoints are -57 and -7
PLEASE HELP!!!!
Give the most precise classification for this figure, do not go off of what you see. it looks like a rectangle but we don't have the info to prove that.
Answers
Answer:
parallelogram
Step-by-step explanation:
Looks like a rectangle, but then angles should be marked =90
But two sides are marked equal that makes it a parallelogram.
(a parallelogram is 4 sided figure where 2 opposite sides are =
Can you locate the school where sir isaac newton was once the lucasian professor of mathematics?.
Answers
Answer:
The second period from 1669 to 1687 was the highly productive period in which he was Lucasian professor at Cambridge. The third period (nearly as long as the other two combined) saw Newton as a highly paid government official in London with little further interest in mathematical research.
Step-by-step explanation: