Which figure represents an undefined term?
Suppose that we have the least squares regression line y = 3 + 2x and that the sum of the squares of the errors (sse) for this line is 13,712. what can be said about the sum of the squares of the errors (sse) for this data set and the line y = 3 + 2.5x?
The question involves linear regression and the sum of squared errors (SSE), which quantify the total deviation of the response values from the fitted line. If y=3 + 2x is the best-fit line, then the SSE for the line y=3 + 2.5x would be greater than 13,712.
Explanation:The question involves the concept of linear regression and the sum of squared errors (SSE). The SSE of a regression line is quantified by the difference between the observed and predicted values of the dependent variable, each squared and added together. These show how well the regression line fits the data.
In the context of this question, you're given the SSE for the line y = 3 + 2x. However, you're asked about the SSE for the line y = 3 + 2.5x. Since the slope of this new line is steeper, the predicted y-values will be different from those from the original line and generally farther from the actual data points. Therefore, it can be said that if the line y = 3 + 2x is the best-fit line, then the SSE for the line y = 3 + 2.5x would be greater than 13,712.
Error in prediction is generally greater when we move away from the least-squares regression line. Thus the SSE provides a quantifiable way to determine the line that best fits the data.
Learn more about Linear Regression here:https://brainly.com/question/36829492
#SPJ12
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
Ignatz repeatedly rolls a fair $6$-sided die. What is the probability that he rolls his first $5$ before he rolls his second (not necessarily distinct) even number?
The probability that Ignatz rolls his first 5 before he rolls his second (not necessarily distinct) even number is: 13/32
Events:Define Event A: Rolling 5 before an even number.
Define Event B: Rolling an even number before a 5 (complementary event to event A).
Sample Space: - The total number of outcomes for rolling a die 5 times is [tex]6^5[/tex] (each roll has 6 possibilities).Favorable Outcomes for Event A:- We can achieve event A in various scenarios where Ignatz rolls a 5 before encountering an even number. Let's consider each case:Case 1: 5 in the first roll (1 way). Then, any other number (not 2, 4, or 6) in the remaining rolls (5 possibilities each).
Favorable outcomes: [tex]1 * 5 * 5 * 5 * 5.[/tex]
Case 2: 5 in the second roll (similar to case 1).
Favorable outcomes: [tex]5 * 1 * 5 * 5 * 5.[/tex]
We can continue using the same logic for cases where 5 appears in the third, fourth, or fifth roll.
Total Favorable Outcomes for Event A:Since there are multiple ways to achieve event A, we add the favorable outcomes from each case.Total Favorable Outcomes (A) = Favorable Outcomes (Case 1) + Favorable Outcomes (Case 2) + ... + Favorable Outcomes (Case 5)
= [tex]1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5[/tex]
Probability of Event A:Probability (A) = Favorable Outcomes (A) / Total Outcomes
[tex]= ( 1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5) / 6^5[/tex]
Probability of Event B (complementary event):Event B is the opposite of event A. Since events A and B cover all possibilities, their probabilities sum to 1.
Probability (B) = 1 - Probability (A)
Therefore, the probability of rolling a 5 before an even number (event A) is 1 - Probability (B).
What is 3x5x6x19x500
First right answer gets brainliest
A hardware store has 147 containers of paint. If each container holds 5 gallon of paint, how many gallon of paint are at the store?
A.235 B.595 C.735 D.905
Dale chose A as the correct answer how did he get that answer?
I know the answer is C but can't explain why he chose A
Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4
Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°.
The answer is: The triangle is a SCALENE Triangle.
As all the sides of the triangle are unequal. Therefore,it is a scalene triangle.
What are the 3 main types of triangles?
According to the length of sides, triangles can be classified into 3 categories i.e., Scalene, Isosceles, and Equilateral triangles.
A scalene triangle is a triangle in which all three sides are of different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.
An isosceles triangle is a triangle in which two sides have the same length.
An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle.
Learn more about triangles here: https://brainly.com/question/1675117
#SPJ2
It takes one machine 25 minutes to pick a bale of cotton and another machine 30 minutes to compete the same job. If both machines are used, how long will it take them to pick a bale of cotton?
Answer:
13.64 minutes
Step-by-step explanation:
The first machine works at the rate x = 1 bale/ 25 min.
The second machine works at the rate y = 1 bale/30 min.
The combined rate is
x + y = 1/25 + 1/30 bales/min
= (30 + 25)/(25*30) = 55/750
= 11/150 bales/min
The time for both machines to pick 1 bale of cotton is
(1 bale)/(11/150 bales/min) = 150/11 min = 13.64 min
So if you take rsm, you have to input 13.64 otherwise it won't work. :)
if the mechanical advantages of the component machines in the peeler are 2, 3, and 12, what is the overall mechanical advantage of the apple peeler?
Final answer:
The overall mechanical advantage of an apple peeler with component mechanical advantages of 2, 3, and 12 is the product of these numbers, which is 72. This implies that the input force applied to the apple peeler is multiplied by 72 times.
Explanation:
The student is asking about the overall mechanical advantage of an apple peeler, which is a complex machine made up of components with individual mechanical advantages. To find the total mechanical advantage of a complex machine, you would multiply the mechanical advantages of each component together.
Given that the mechanical advantages of the component machines are 2, 3, and 12, we can calculate the overall mechanical advantage as follows:
Mechanical Advantage of Component 1: 2
Mechanical Advantage of Component 2: 3
Mechanical Advantage of Component 3: 12
To find the overall mechanical advantage, just multiply these together:
Overall Mechanical Advantage = 2 × 3 × 12 = 72
So, the overall mechanical advantage of the apple peeler is 72. This means the input force is multiplied 72 times.
what is the equation of the perpendicular to y=2/3x+1 that passes through the point (12,-6)
Convey 90 cubic feet into cubic yards
What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?
Write the equation in spherical coordinates. (a) 4z2 = 5x2 + 5y2 (b) x2 + 3z2 = 4
In spherical coordinates, equations in the form of [tex]4z^2 = 5x^2 + 5y^2[/tex] can be written as [tex]4ρ^2cos^2(θ) = 5ρ^2sin^2(θ)[/tex], and equations in the form of x^2 + 3z^2 = 4 can be written as ρ^2sin^2(θ) + 3ρ^2cos^2(θ) = 4.
Explanation:(a) In spherical coordinates, the equation [tex]4z2 = 5x2 + 5y2[/tex] can be written as [tex]4ρ2cos2(θ) = 5ρ2sin2(θ)[/tex]. Here, ρ represents the distance from the origin to the point and θ represents the angle measured from the positive x-axis to the point in the xy-plane.
(b) For the equation x2 + 3z2 = 4, we can rewrite it in spherical coordinates as[tex]ρ2sin2(θ) + 3ρ2cos2(θ) = 4.[/tex]
Learn more about Spherical coordinates here:https://brainly.com/question/31745830
#SPJ11
Alice wants to use her savings ($48.40) to buy concert tickets that cost $17.50 each. how many tickets can she buy?
Paula has a digas that weighs 3 times as much as Carla's. The total weight of the dogs is 48 lb how much does Paula dog weigh. Draw a diagramar ti find the weighs of Pailas dog
One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute which tank is filling faster equation
What is the GCF of 12,28,36?
Two different ways to find the difference for 12-3
Help please!!! practical math
Someone please help me with # 10
Why do some absolute value equations have no solution?
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
The surface area of a cube varies directly as the square of the length of an edge. true or false
How do the 3's compare in 350 and 403?
Solve the formula M = 2P + 3Q for the variable Q.
What was the total production of gasoline and kerosene combined?
answer plz got cunfused on question and cant solve
area of parallogram now = 8*10 = 80 square units
if the sides are multiplied by 4 the new dimensions would be
8*4 = 32, 10*4 = 40
area would be 32 *40 = 1280 square units
1280 /80 = 16
the area multiplied 16 times which is the multiple squared ( 4^2 = 16)
Is -8.4 greater than or equal to 8.7
Answer:
Step-by-step explanation: