Here are the statements that would allow you to conclude that the relationship between a response variable y and an explanatory variable x is linear:
- The graph of y versus x shows the points lying approximately along a straight line.
- The correlation coefficient r between x and y is close to +1 or -1.
- The regression equation relating y to x is of the form y = bx + a, where b and a are constants.
- The residuals (differences between observed and predicted values of y) show no systematic pattern when plotted against x.
- An F-test or t-test on the regression model gives a statistically significant result for the coefficient of x.
- Adding higher order terms of x (like x^2, x^3 etc) to the regression equation does not significantly improve the model fit.
- There are no statistical interactions detected between x and other explanatory variables when modeling y.
In summary, signs of a linear relationship include a straight line pattern in the data plot, a high correlation coefficient, a significant linear regression model, random residuals, and lack of improvement by adding nonlinear terms or interactions. These indicators would allow you to conclude that the relationship between y and x is best described by a linear model.
A first order reaction initially contains 1. 00 × 10²⁰ molecules. If the reaction has a half-life of 20. 0 minutes, how many molecules remain unreacted after 80. 0 minutes?.
Using proportions, it is found that [tex]1.25 \times 10^{19}[/tex] molecules remain unreacted after 80. 0 minutes.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the half-life of the reaction is of 20 minutes, hence:
After 20 minutes, 50% of the molecules are unreacted.After 40 minutes, 25% of the molecules are unreacted.After 80 minutes, 12.5% of the molecules are unreacted.Then:
[tex]0.125 \times 10^{20} = 1.25 \times 10^{19}[/tex]
Hence:
[tex]1.25 \times 10^{19}[/tex] molecules remain unreacted after 80. 0 minutes.
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Arrange the given compounds based on their relative brønsted acidities.
Arranging the given compounds based on their relative bronsted acidities :
I.e. Strongest to weakest
H-Br ---> H-F --- > H-SH -----> H-NH₂ ----> H-CH₃Factors affecting relative bronsted aciditiesThe arrangement of the compound based on their relative bronsted acidities is dependent on certain factors which are :
Stability of the conjugate base increment Increase in electronegativity ( this leads to increase in holding a negative charge ).Increase in size ( leads to increase in holding negative charge due to large electron cloud ).From the list of compounds given F⁻ is less stable than Br⁻ and this makes H-Br more stronger than H-f
Hence we can conclude that from Strongest to weakest
H-Br ---> H-F --- > H-SH -----> H-NH₂ ----> H-CH₃ is the correct arrangementLearn more about relative bronsted acidities : https://brainly.com/question/148529
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There are two pieces of copper. Piece a is at 70 degrees, while piece b is at 150 degrees. Which piece has more thermal energy?.
The piece has more thermal energy is Piece B, because its particles move faster.
What is Thermal energy?This is known to be a type of power that is created by atomic and molecular particle movement that is present within a substance/system.
The piece that has a greater thermal energy is the piece that is said to have higher temperature that is Piece B has particles do move faster.
See options below
Piece A, because its particles move slower
Piece B, because its particles move faster
Piece A, because its particles move faster
Piece B, because its particles move slower
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Place in order, from first to last, the steps describing how a letter in stanley milgram’s late-1960s experiment reached its destination.
The statements order from first to last about Milgram's late-1960s experiment are:
A person in Lincoln, Nebraska, is given a letter and a description of the intended recipient in Boston, but no address. The Lincoln resident sends the letter to someone who might have a direct or indirect connection to the Boston recipient. Each intermediate recipient repeats the process of the Lincoln resident.Someone recognizes the final recipient as an acquaintance and sends or delivers the letter to him.What was Milgram experiment about?The Milgram experiment was done in the late 1960s and it shows that human beings are prone to obeying authority.
The experiment also shows that obedience is not inevitable. The Milgram experiment is a very popular psychological study that looks at the willingness of people to follow orders.
See full question below
Place in order, from first to last, the steps describing how a letter in Stanley Milgram’s late-1960s experiment reached its destination.- Each intermediate recipient repeats the process of the Lincoln resident.- Someone recognizes the final recipient as an acquaintance and sends or delivers the letter to him.- A person in Lincoln, Nebraska, is given a letter and a description of the intended recipient in Boston, but no address.- The Lincoln resident sends the letter to someone who might have a direct or indirect connection to the Boston recipient.
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The toadfish makes use of resonance in a closed tube to produce very loud sounds. The tube is its swim bladder, used as an amplifier. The sound level of this creature has been measured as high as 100 db.
Answer:
down below ok hope it helps
Explanation:
How did new leaders gain power in both Germany and Japan after World War I?
through the use of violent tactics
through the strength of democracy
by restraining the influence of fascism
with the help of free and fair elections
A flashlight bulb is connected to a dry cell of voltage 2. 25 v. It draws 35. 0 ma (1000 ma = 1 a). What is its resistance?.
Answer:
1000ma=1a
35.0ma=?
35.0ma÷1000ma×1a (ma cancels ma and you left with a )
answer =0.035
The diameter of a semicircular pond is 7 m. Find its perimeter.
Answer:
Approximately 18 m
Explanation:
Hi there!
What we need to do to solve this question is the following:
1. Find the circumference of the circle, as if the pond is CIRCULAR and NOT SEMICIRCULAR
2. Divide the circumference in half to find the length of the round part of the semicircle
3. Add 7 m to that value to get the straight side of the semicircle
1. Find the circumference of the circle (C)
[tex]C=\pi d[/tex] where d is the diameter
Plug in the diameter 7 m
[tex]C=\pi (7)\\\\C=7\pi[/tex]
We're not going to solve this just yet, but we will in the end. This is so that we can get a more precise answer.
2. Halve the circumference
[tex]\displaystyle\frac{7\pi}{2}[/tex]
3. Add 7 m
[tex]\displaystyle\frac{7\pi}{2} + 7\\\\= 17.99557\\\\\approx 18[/tex]
Therefore, the perimeter of the pond is approximately 18 m.
I hope this helps!
Block a rests on top of block b as shown in (figure 1). The table is frictionless but there is friction (a horizontal force) between blocks a and b. Block b has mass 6. 00 kg and block a has mass 2. 00 kg. If the horizontal pull applied to block b equals 12. 0 n, then block b has an acceleration of 1. 80 m/s2.
The acceleration of block A is 0.6 m/s².
Net force on the blocksThe net force on the blocks is determined by applying Newton's second law of motion.
∑F = ma
Acceleration of bock AThe acceleration of block A is calculated by applying Newton's second law of motion as follows;
[tex]F_a + F_b = F\\\\F_a = F-F_b\\\\m_a a_a = F- m_ba_b\\\\a_a = \frac{F- m_ba_b}{m_a}[/tex]
Where;
Mb is mass of block B = 6 kgMa is mass of block A = 2 kg[tex]a_b[/tex] is acceleration of block B = 1.8 m/s²[tex]a_a[/tex] is the acceleration of block A = ?[tex]a_a = \frac{12\ - \ 6 \times 1.8}{2} \\\\a_a = 0.6 \ m/s^2[/tex]
Thus, the acceleration of block A is 0.6 m/s².
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What issues about life are confronting the speaker in the song reach out.
It should be noted that the issues about life that are confronting the speaker in the song reach out is the loss of a precious thing which he cannot remember.
What does the speaker lost?The narration by the writer made us to understand that he lost something precious to him because he cannot remember it, no matter how much he try.
Therefore, he sees life in a different dimensions which he put down in the song for people to learn.
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I have an unknown volume of gas at a pressure of 0. 50 atm and a temperature of 325 k. If i raise the pressure to 1. 2 atm, decrease the temperature to 320 k, and measure the final volume to be 48 liters, what was the initial volume of the gas?.
Answer:
117 liters
Explanation:
P1 = 0.50 atm, T1 = 325 K, V1 = ?
P2 = 1.2 atm, T2 = 320 K, V2 = 48 liters
Use P1*V1/T1 = P2*V2/T2
so V1 = V2 * (P2/P1) * (T1/T2) = 48 *(1.2/0.50) *(325/320) = 117 liters
A car’s engine generates 100,000 w of power as it exerts a force of 10,000 n. How long does it take the car to travel 100 m?.
Answer:
10
Explanation:
Engine generates 100,000\ W power
Force exerts F=10,000\ N
Distance traveled d=100\ m
work done is given by
W=F\cdot d\\W=10,000\times 100\\W=10^5\ J
Also, Energy is given as
\Rightarrow E=P\cdot t
Insert the values
\Rightarrow 10^6=100,000\times t\\\\\Rightarrow t=\dfrac{10^6}{10^5}\\\\\Rightarrow t=10\ s
Atoms are composed of even smaller particles, called.
Answer:
protons, neutrons, and electrons.
Explanation:
In what way can you show a sense of adaptability to the diverse philippines literary history.
Which of the following groups of instruments do tipanu, aruding and beberek fall under?.
Answer:
chordophone is the anser
Explanation:
What is true when the units in ending inventory increase during the year.
The true option is : Net income is higher for absorption costing than for variable costing.
What is Net income?Net income is the actual amount left to an individual or a company, after taken out all other expenses.
Here, absorption cost are those cost that includes the costs like variable costs as well as the overhead costs which are fixed in nature.
This means that an increase in the closing stock balance, the net income for the absorption costing shows more than that of the variable costing.
Hence, the net income for absorption costing is higher than variable costs when the closing inventories increases throughout the year.
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The difference between the highest and lowest temperature in a day.
Explanation:
The temperature of air measured using a maximum-minimum thermometer can be used to show the difference in temperature over a period of time, usually one day. The difference between the daily maximum and the daily minimum is called the diurnal range.
Paul, colin and brian are waiters. One night the restaurant earns tips totalling £71. 10. They share the tips in the ratio 2:3:4. How much more does colin get over paul?.
How much heat is produced by burning 4. 00 moles of acetylene under standard state conditions?.
Answer:
-5198
Explanation: One mole of acetylene produces -1299.5 kj of heat. Therefore, we would need to multiply -1299.5 by the 4.00 moles to get our answer
Vectors a⃗ and b⃗ have scalar product -5. 00 and their vector product has magnitude 6. 0.
Vectors are related by their scalar products and the magnitude of their vector products
The measure of angle between vectors a and b is 129.8 degrees
How to determine the angle between themThe given parameters are:
Scalar product = -5Magnitude of vector product = 6.0The angle between the vectors a and b is calculated as:
[tex]\theta = \tan^{-1}(\frac{(A \times B)}{A \cdot B})[/tex]
Where:
A x B represents the magnitude of the vector product, and A.B represents the scalar product
So, we have:
[tex]\theta = \tan^{-1}(\frac{6.0}{-5})[/tex]
Evaluate the quotient
[tex]\theta = \tan^{-1}(-1.2)[/tex]
Evaluate the arc tangent
[tex]\theta = 129.8^o[/tex]
Hence, the angle between vectors a and b is 129.8 degrees
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A group of mountain gorillas has 10 members. How big is the group after 4 females emigrate, 2 females immigrate, 2 gorillas are born, and a male dies?(1 point).
Answer:
9
Explanation:
the answer is 9
The percentage yield of a reaction can best be described as the ________ times 100%.
Answer:
amount of product obtained divided by the maximum possible amount of product
Explanation:
hope this helps
Two point charges are 4 cm apart. They are moved to a new separation of 8 cm. By what factor does the resulting mutual force between them change?.
The resulting mutual force between the charges will change by a factor of 1/4.
States that the force between two charges in an electric field is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.
From the law above.
F α 1/r²........................ Equation 1If the distance between the charges is changed from 4 cm to 8 cm, the factor at which the force will change is
Factor = (1/8²)/(1/4²)Factor = (1/64)(16)Factor = 1/4.Hence, The resulting mutual force between the charges will change by a factor of 1/4.
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Whats Feb 21 >? your birthday :?
Answer:
B
Explanation:
Yeah how did you know.
Refer to figure 6-9. In this market, a minimum wage of $7. 00 creates a labor.
A minimum wage of $7.00 in the market creates a labor that is binding and creates unemployment.
What is minimum wage?A minimum wage refers to a ceiling wage that must be paid to the labor.
Hence, since the minimum wage of $7.00 is imposed on the market, the amount does creates a labor that is binding and creates unemployment.
Therefore, the Option C is correct.
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How many grams of kbr are required to make 550. Ml of a 0. 115 m kbr solution.
Which law of physics plays the biggest role in space?.
Choosing 3 toppings for your sundae out of a list of 15. Permutation or not?.
Since the order is not important, the combination formula is used.
When to use the combination and the permutation formula?If the order in which the options are taken is important, permutation is used.Otherwise, if the order in which the options are taken is not important, combination is used.In this problem, the order in which the toppings are chosen is not important, for example, chocolate and strawberry is the same topping as strawberry and chocolate(if we considered 2 toppings), hence it is a combination.
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A forest full of the many kinds of trees and grasses is an example of a.
Answer: its an example of a Community.
Hope this helps!
A new coat is regularly priced at $50. It is on sale with a discount of 10%. Approximately how much would be saved by purchasing the coat at the sale price?.
Answer:
$5 dollars.
Explanation:
Given the following question:
10% of 50
In order to find how much, we would save by purchasing the coat, we calculate the percentage.
[tex]\frac{50\times10}{100} =50\times10=500\div100=5[/tex]
[tex]=5[/tex]
We would save "five dollars" by purchasing the coat at the sale price.
Hope this helps.
13. In cell b13, create a formula without a function using absolute references that subtracts the values of cells b5 and b7 from cell b6 and then multiplies the result by cell b8. Copy the formula from cell b13 to the range c13:h13.
Excel formulas are expressions used to perform computation.
The formula in Excel is: =($B$6 - $B$5 - $B$7)* $B$8
How to determine the formulaFrom the question, we are to:
Subtract B5 and B7 from B6Use absolute style referencingTo use the absolute reference in Excel cells, we have to include the dollar "$" sign.
This means that: a cell A1 will be written as: $A$1;
So, the formula to enter in cell B13 is:
=($B$6 - $B$5 - $B$7)* $B$8
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