The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA
Effects on ACT Scores
Study Hours GPA ACT Score
5 4 27
5 2 18
5 3 18
1 3 20
2 4 21
Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.

Answers

Answer 1

Answer:

Pvalue = 0.1505

y = 0.550x1 + 3.600x2 + 7.300

Step-by-step explanation:

Given the data :

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Using technology, the Pvalue obtained using the Fratio :

F = MSregression / MSresidual = 30.228571/ 8.190476 = 3.69

The Pvalue for the regression equation is:

Using the Pvalue from Fratio calculator :

F(1, 3), 3.69 = 0.1505

Using the Pvalue approach :

At α = 0.01

Pvalue > α ; Hence, we fail to reject H0 and conclude that ; There is not enough evidence to show that the relationship is statistically significant.

The regression equation :

y = A1x1 + A2x2 +... AnXn

y = 0.550x1 + 3.600x2 + 7.300

x1 and x2 are the predictor variables ;

y = predicted variable


Related Questions


help i’ll give brainliest

Answers

Answer:

c c c c c c c c c c c c c c c c c c c c

Find m angle RQH if m angle HQP=95^ and m angle RQP=152^

Answers

Answer:

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

[tex] \large{ \tt{✽ \: m \: \angle \: RQP = m \: \angle \: RQH + m \: \angle \: HQP}}[/tex]

[tex] \large{ \tt{⇾ \: 152 \degree = \: m \: \angle \: \: RQH + 95 \degree}}[/tex]

[tex] \large{ \tt{⇾ \: 152 \degree - 95 \degree = m \: \angle \: RQH}}[/tex]

[tex] \boxed{ \large{ \tt{⇾ \: 57 \degree = m \: \angle \: RQH}}}[/tex]

Our final answer : 57° . Hope I helped! Let me know if you have any questions regarding my answer! :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Can someone help me with this problem

Answers

9514 1404 393

Answer:

  x = 30°

Step-by-step explanation:

The lines will be parallel if and only if the sum of the marked angles is 180°:

  4x +2x = 180°

  6x = 180° . . . . . collect terms

  x = 30° . . . . . . . divide by 6

express the ratio as a fraction in the lowest terms 100cm:5m​

Answers

Step-by-step explanation:

we know that 1m=100cm

so 1m:5m(final)

1:5

Answer:

1/5

Step-by-step explanation:

Since 100cm = 1m

then

100cm:5m becomes 1m:5m

which in fraction is 1/5

a circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radiants, what is the length of the arc that corresponds to the angle ?

A. 12 centimeters
B. 4 centimeters
C. 3 centimeters
D. 7 centimeters

Answers

Answer:

A number is right 12 centimetres

Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 1 + sin(t), y = 3 + 2 cos(t), π/2 ≤ t ≤ 2π

Answers

Answer:

The motion of the particle describes an ellipse.

Step-by-step explanation:

The characteristics of the motion of the particle is derived by eliminating [tex]t[/tex] in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:

[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)

Where:

[tex]\cos t = \frac{y-3}{2}[/tex] (2)

[tex]\sin t = x - 1[/tex] (3)

By (2) and (3) in (1):

[tex]\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1[/tex]

[tex]\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1[/tex] (4)

The motion of the particle describes an ellipse.

2 - (-8) + (-3) =
O A) 12
OB) 7
O C
C) 14

OD 1

Answers

Answer:

B)7

Step-by-step explanation:

2-(-8)=10

10+(-3)=7

The programming code below shows an ''if-else'' function. After the code is run, the variable ''y'' is equal to _______.

int x, y;
x = 0; y = 0;
if (x < 0) { y = y + 1; }
else { y = y + 2; }

Answers

Answer:

2

Step-by-step explanation:

Since x=0, and it's not <0, the "else statement" is executed making y=0+2

There is a category called "computer and technology", maybe you can get better answers if you select that instead of "mathematics"

HELP PLEASE- ASAP
What is the probability that a point selected randomly in will be one of the points inside segment RS? Enter your answer as a decimal numbers

Answers

Answer:

0.2

Step-by-step explanation:

The total number of points in PS is a sum of the number of points in :

PQ + QR + RS ;

PQ = 7 ; QR = 13 ; RS = 5

PS = (7 + 13 + 5) = 25

Probability that point selected at random is in RS ;

Required outcome = point in RS

Total possible outcomes = points in PS

Probability = RS / PS = 5 / 25 = 0.2

3/8-1/4=?

Answer ……..

Answers

Step 1: Find the LCD (Least Common Denominator)

The LCD between 4 and 8 is 8. Therefore, if I change all of the fractions to have a denominator of 8, the problem is as such:

3/8 - 2/8 = ?

Step 2: Subtract

3/8 - 2/8 = 1/8

Hope this helps!

Answer:

[tex]\frac{1}{8}[/tex] (1/8)

Step-by-step explanation:

1. The LCD & basics

8·1=8

4·2=8

LCD=8

If the denominator is multiplied, the numerator also has to be multipled by the same value.

2. Solving[tex]\frac{3}{8} -\frac{2}{8} =\frac{1}{8}[/tex][tex]\frac{1}{8}[/tex]

Hope this helped! Please mark brainliest :)

What is the value of x?
2
3
6
7
Geometry B - 5.0 - Extended – 2

Answers

Answer:

I think 6.............,..........

Plzz prove this tomorrow is my test plzz help me​

Answers

Step-by-step explanation:

this is the correct answer for the question


Please help me and answer quick please

Answers

Answer:

b

Step-by-step explanation:

the function has exactly one x-intercept

Answer: B

Explanation: we know that it only has one X intercept because all of the X values are different and do not repeat themselves :-)

A bank gives you a loan of 1,500,000 Baht to buy a house. The interest rate of the loan is 0.01% per day (Using 1 year = 365 days) How much interest you pay after 10 years

Answers

Answer:

547 500

Step-by-step explanation:

Interest for 1 year:

0.01%×365=3.65 a year

3.65×10=36.5% for 10 years

36.5×1,500,000÷100=547 500

The interest paid after 10 years is 547 ,500 Baht.

What is Interest ?

Interest is the amount paid or earned when a loan is taken or an investment is done respectively.

It is given that

Principal = 1,500,000 Baht

Rate = 0.01 % per day

Time period = 10 years

Interest = ?

Interest = P *R *T/100

Interest = 1500000 * 0.01 *365* 10 / 100

Interest = 547,500 Baht

Therefore the interest paid after 10 years is 547 ,500 Baht.

To know more about Interest

https://brainly.com/question/13324776

#SPJ2

The average THC content of marijuana sold on the street is 9.6%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,

a. What is the distribution of X? X ~ N(
9.6
Correct,
1
Correct)

b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.8.


c. Find the 67th percentile for this distribution.
%

Answers

Answer:

Im sorry but why is this a question? Like what school gives this out

Which of the following represents the ratio of the hypotenuse to the given
side?

Answers

Answer:

D. √2 : 1

Step-by-step explanation:

The hypotenuse = 4√2 (longest side of a right triangle)

The given side = 4

Ratio of the hypotenuse to the given side = 4√2 : 4

Simplify by dividing both numbers by 4

√2 : 1

Sumas y restas w+y=9 3w-y=11

Answers

Answer:

w = 5

y = 4

Step-by-step explanation:

w+y=9

3w-y=11

4w = 20

w = 5

y = 4

appoint a planning committee with five different members. There are 14 qualified​ candidates, and officers can also serve on the committee. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified​ candidates?

Answers

Answer:

[tex]Pr = \frac{1}{2002}[/tex]

Step-by-step explanation:

See comment for complete question;

Given

[tex]n = 14[/tex]

[tex]r = 5[/tex] -- committee members

[tex]k = 4[/tex] ---- officers (i.e. president, CEO, COO and CFO)

Required

Probability of selecting 5 youngest qualified members

First, we calculate the number of ways the committee can be appointed;

Any 5 members can be part of the committee; This means that we won't consider the order.

So, the number of ways is:

[tex]^{14}C_5[/tex]

This gives:

[tex]^{14}C_5 = \frac{14!}{9!5!}[/tex]

So, we have:

[tex]^{14}C_5 = \frac{14*13*12*11*10*9!}{9!*5*4*3*2*1}[/tex]

[tex]^{14}C_5 = \frac{14*13*12*11*10}{5*4*3*2*1}[/tex]

[tex]^{14}C_5 = \frac{240240}{120}[/tex]

[tex]^{14}C_5 = 2002[/tex]

There can only be a set of 5 young people. So, the probability is:

[tex]Pr = \frac{1}{2002}[/tex]

what number must you add to complete the square x^2+12x=40

Answers

Step-by-step explanation:

x²+12x=40

(x+6)²-6²-40=0

(x+6)²-76 = 0

Need help please.. :(

Answers

Answer:

option d is correct one in which value of T lies

Sketch the graph of each line.
7) 2x - y = -4

Answers

Answer:

check the attachment

Step-by-step explanation:

2x - y = - 4

- y = - 4 - 2x

y = 2x + 4

slope of the line = 2 with y - intercept 4

An RLC series circuit has an applied voltage of 240 volts. R = 48 ohm, XL = 100 ohm, and XC = 36 ohm. What is the circuit impedance (Z)?

Answers

9514 1404 393

Answer:

  48 +j64 ohms

Step-by-step explanation:

The impedance of a series circuit is the sum ...

  R + jXl -jXc

  = 48 +j100 -j36

  = 48 +j64 . . . . ohms

_____

Additional comment

"j" is the electrical engineer's name for √-1, because "i" is used to represent current.

Today, 11:50
Sawing and cutting. Level
Arjun cut a loaf of bread and made
sandwiches. How many sandwiches did he
make if he made 10 cuts?

Answers

Answer:

5 sandwiches he made in bread

the answer is 5 sandwiches

How many x-intercepts are in the quadratic equation y = 7x2 − 2x − 1​

Answers

Answer:

There are 2 x intercepts

Select the correct answer. What is the range of the function shown on the graph above?
A. -8 B.-2y <-7
C. -7 Sy < -2
D. -9

Answers

It would be c!!!!!! -7 su

Answer: The answer would be D

Step-by-step explanation:

what is the solution for 2y=x+2
x-3y=-5

Answers

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

2y = x + 2 x - 3y = -5

Second equation can be written as ,

x - 3y = -5 -3y = -x - 5

Adding them :-

-3y + 2y = 2 -5 -y = -3 y = 3

Put this in (ii) :-

x = 3y - 5 x = 3*3 - 5 x = 9 -5X = 4
Answer:
X=4
Y=3
You welcome

Ghgshsvssbdbdbbdbxbxbxbdbdbdbdbdndndjd

Answers

So a Quadratic function,A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

3/8 + 1/4 + 1/2 - 2/3 =

Answers

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

3/8 + 1/4 + 1/2 - 2/3

- > 1/4 =  2/8

3/8 + 2/8 + 1/2 - 2/3

5/8 + 1/2 - 2/3

- > 1/2 = 4/8

5/8 + 4/8 - 2/3

9/8 - 2/3

- > LCM of 8,3: 24

- > 9/8 = 27/24

- > 2/3 = 16/24

27/24 - 16/24

11/24

Hope this helps you.

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a.

f(x)= 7x e^x, a= 0

Answers

Hi there!

[tex]\large\boxed{p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4}[/tex]

Recall a Taylor series centered at x = 0:

[tex]p(x) = f(0) + f'(0)(x) + \frac{f''(0)}{2}x^{2} + \frac{f'''(0)}{3!}x^{3} + ...+ \frac{f^n}{n!}x^n[/tex]

Begin by finding the derivatives and evaluate at x = 0:

f(0) = 7(0)e⁰ = 0

f'(x) = 7eˣ + 7xeˣ   f'(0) = 7e⁰ + 7(0)e⁰ = 7

f''(x) = 7eˣ + 7eˣ + 7xeˣ  f''(0) = 7(1) + 7(1) + 0 = 14

f'''(x) = 7eˣ + 7eˣ + 7eˣ + 7xeˣ    f'''(0) = 21

f⁴(x) = 7eˣ + 7eˣ + 7eˣ + 7eˣ + 7xeˣ   f⁴(0) = 28

Now that we calculated 4 non-zero terms, we can write the Taylor series:

[tex]p(x) = 0 + 7x + \frac{14}{2}x^2 + \frac{21}{3!}x^3 + \frac{28}{4!}x^4[/tex]

Simplify:

[tex]p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4[/tex]

Which statement about y=x^2-12x+35 is true?
A. The zeros are 7 and 5, because y=(x-7)(x-5)
B. The zeros are 7 and -5, because y=(x+7)(x-5)
c. The zeros are -7 and -5, because y=(x+7)(x+5)
D. The zeros are -7 and -5, because y=(x-7)(x-5)

Answers

Answer:The zeros are 7 and 5, because y=(x-7)(x-5)

Step-by-step explanation:

Other Questions
what is the time taken by moving body with acceleration 0.1m/s2 if the initial or finak velocities are 20m/s and 30m/s respectively? How did Egyptians deviate from exaggerated body style? 2. the amount of a good or service a producer wants to sell(10 Points)demandsupplyscarcity Identify the statements that correctly describe the saturation temperature of a solution. A. Any temperature at which the solution is liquid.B. Any temperature at which all of the compound is solid.C. The temperature at which solid begins to appear from a cooled solution.D. The temperature at which the Ksp value can be calculated. The given equation has been solved in the table. Step Statement 1 1 7n + 11 = -10 2. -7n + 11 11 = -10 11 3 -7n = -21 4 = = =21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied. In Wendy's experiment, a monkey must push a lever to get a reward. If the monkey is successful, it gets a piece of banana every 2 minutes. What type of reinforcement schedule is this Apos anexaros territrios ganhos no combate, de qual forma Napoleo organizava o comando da nao dominada round 6.8 to nearest hundredth In his 1776 pamphlet, Common Sense, Thomas Paine acknowledged that a colonial break from Britain would likely harm the American economy in the short-term.TrueFalse Acme Company is considering investing in a new machine that costs $126,594 and that has a useful life of 12 years with no salvage value. The machine will generate $19,500 annually in net cash inflows. The internal rate of return on the investment is: (Round your intermediate calculations to 3-decimals and your internal rate of return calculations to the nearest whole percent.) Here is a reminder of what Sophia eats to. Every day she grabs breakfast to go from Burger King: a sausage biscuit (2 oz sausage on a medium biscuit) and 12 oz 100% orange juice. Mid-afternoon she stops by the vending machines to get a snack: usually 2 oatmeal cookies and a 12 ounce soda pop. For dinner every day she has a box of macaroni and cheese, made according to the package directions. She adds a hot dog (2 oz) to make it more filling. Each night she has a snack of one hard-cooked egg and 3-4 slices of wheat bread toast and jam. How many equivalents from the fruit group did Sophia eat? in an examination 30% of the candidates failed in English and 35% failed in general studies and 27% failed in both subjects.if310 candidates passed in both how many candidates appeared in the examination List some Summer 2021 goals Plz help me ASAP in my final project I am ready to pay 20$ What are the nouns and verbs in the sentence. The clink and clank of the coins echoed through the silent corridors. Which transformations are needed to change the parent sine function to the sine function below? On a coordinate plane, a curve crosses the y-axis at y = 1.5. It has a minimum at y = 0.5 and a maximum at y = 1.5. It goes through one cycle at 4 pi. Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical stretch of 2, horizontal compression to a period of 4 pi, vertical shift of 2 units up, phase shift of Pi units left vertical stretch of One-half, horizontal compression to a period of 2 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical compression of One-half, horizontal stretch to a period of 2 pi, vertical shift of 1 unit down, phase shift of Pi units left The following data relate to a company that produces and sells a travel guide that is updated monthly: Each book sells for $20.00. The company sold 8,000 books in June and 10,000 books in July. The unit contribution margin per book is: y varies inversely as the square of xy=1.5 when x=8Find y when x=5 The process of chewing, smashing, and grinding food in the mouth is calledperistalsis mechanical digestionabsorption chemical digestion (-4x+6)+(x-5) please answer Ill be happy :)