Answer:
42−{(7+14)÷7}×4
42 - {21 ÷ 7} x 4
42 - 3 x 4
42 - 12
30
Step-by-step explanation:
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
HOW TO CONSENTRATE ON STUDY?
Answer:
Listen to music or watch a video about what your about to study. Or do what I do... eat while studying
Step-by-step explanation:
What is the Voter Registration Act and how does it affect Gerrymandering?
Answer:
United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.
Step-by-step explanation:
Hope It Helps :)
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?
Total number of children are 116 and adults are 160.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number of children entered in park = x
And the number of adults entered in park = y
Fee for children = $20
Fee for adults = $35
According to given condition,
Total number of people = 276
⇒x+y = 276 (1)
Total fees collected = $7620
⇒20x+35y = 7620 (2)
By solving equation (1) and (2),
The value of x is 116
And value of y is 160
Total number of children are 116 and adults are 160.
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I will give brainliest. any irrelevant awnsers will be flagged :). pls help.
Answer:
it is B
Step-by-step explanation:
hope it helps :) have a nice day!
Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost?
Answer:
$9.90
Step-by-step explanation:
$2.97 divided by 3 equal 0.99 cents
0.99 multiplied by 10 equal 9.90
Juan spent 1 1/2 hours working on a project on Monday, 2 hours on Tuesday, and 2 3/4 hours on Thursday. How many hours did it take him to finish the project?
Answer:
Monday hours + Thursday hours = Total hours
1 1/2 + 2 3/4 = 3 + (? how do you add 1/2+3/4)
Now, you could convert to all improper fractions:
3/2 + 11/4
6/4 + 11/4 [4 is the Least Common Multiple of 2 and 4]
17/4
4 1/4 [then back to mixed numbers]
Or. you could add 1+2=3
and 1/2 + 3/4
2/4 + 3/4
5/4
1 1/4 [convert to mixed number]
3 + 1 1/4 = 4 1/4 [remember to add the 3]
Step-by-step explanation:
use intercepts to graph each linear function.
6x-3y=15
Answer:
6x-3y=15Solve for y.
y= −5+2x
Rewrite in slope-intercept form.
y=2x−5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 2
y-intercept: (0,−5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
x y
0 −5
5/2 0
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
y-intercept: (0,−5)
x y
0 −5
5/2 0
Step-by-step explanation:
Hope it is helpful....
Look at the image. Could someone please help me out? Only question B Thank you! WILL GIVE BRAINLYEST
Answer:
y = 3
Step-by-step explanation:
2x+6y=5x+4y if x=2
2(2)+6y=5(2)+4y
4+6y=10+4y
-4 =-4
6y=6+4y
-4y= -4y
2y=6
/2=/2
y=3
What is the area of a circular region whose
diameter is 12 centimeters?
Answer:
A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)
The area of the circular region will be 113 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given by:-
A = πr²
Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.
r = d / 2
r = 12 / 2 = 6
The area of the region will be calculated as below:-
A = πr²
A = π x ( 6 ) x ( 6 )
A = 113.09 square centimeters
Therefore, the area of the circular region will be 113 square centimeters.
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17
Write the integers that are closest to the number in the middle to complete the statement.
Which of the following represents
this number in scientific notation?
-0.904
A. 9.04 • 10^-1
B. -9.04 • 10^1
C. -9.04 • 10^-1
D. -9.04 • 10^-3
Answer:
The correct option is (c).
Step-by-step explanation:
The given number is -0.904.
We need to represent the number in scientific notation.
Any number can be written in scientific notation as follows :
[tex]a\times 10^b[/tex]
Where
a is a real number and b is an integer
We can write it as follows :
[tex]-0.904=-9.04\times 10^{-1}[/tex]
Hence, the correct option is (c).
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
4.8cm
Step-by-step explanation:
a²+b²=c² where c is the hypotenuse so
Let's plug in those values
11²+b²=12²
b²=12²-11²
b²=23
b=4.8
what are the x-interceptsf(x)=-2x2-3x+20?
Step-by-step explanation:
f(x)=(2×2)-3x+20
0=4-3x+20
0=-3x+24
3x=24
×=24÷3
x=8
What is the least common denominator of 3/5 and 9/10?
Answer:
9/10
Step-by-step explanation:
3/5 = 6/10 = 9/10 = 9/10
I'm not 100% sure of this answer someone please correct me if I'm incorrect.
Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?
**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**
Answer: 1.25 minutes per lap
Step-by-step explanation:
Her total time divided by total laps is 15 divided by 12, which is 1.25
Answer:
Kenith runs 0.8 laps a minute
Step-by-step explanation:
Is it 1,2,3 or 4
Look at the picture.
Thank u!
Answer:
4896 sq units
Step-by-step explanation:
A = lw
multiply 48 to 102
HELPPPP!!!!!!!!!!!!!
Answer:
Its A
Step-by-step explanation:
ez
Answer:
A
Step-by-step explanation:
y= -3x + 7
Pls help me plssss plsssss
Answer:
B
Step-by-step explanation:
how many 1/2's in 4? thats how many bows so 4 ÷ 1/2
Answer:
it's b.
debbie can make 8 bowls
The drop down menu suggestions is true or false I need someone to help me plz
Answer:
Answer true or false and see what happens
Step-by-step explanation:
In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25
Answer:
B
Step-by-step explanation:
1/5x +20 = 25
1/5x = 5
x = 25
Answer:
B
Step-by-step explanation:
A) 2(x-25)=25 x=25 2(25-25)=25 2(0)=25 No
B 1/5x+20=25 x=25 1/5*25=5 5+20=25 Yes
B is the answer! I hope this helped ^^
X
the sum of first ten numbers prime numbers
Answer:
Step-by-step explanation:
2 3 5 7 11 13 17 19 23 29
The sum = 129
100 POINTS AND WILL GIVE BRAINLIEST Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x
2
-1
10
1
2
y
Use the function rule to complete the table.
- 10x + y = 4
what is the quotient of 3 to the 5 power ÷ 3 to the 3 power
Find the missing dimension of each prism the volume equals 60 in.³ width equals 2.5 in. length equals 4 in. FIRST CORRECT ANSWER GETS 15 POINTS!!!
Answer:
Missing dimension is 6
Step-by-step explanation:
2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6
Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
Can someone please help me ?
Answer:
m and p
p and q
Step-by-step explanation:
both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.
Find the area of the triange below
units given are cm, cm^2, cm^3
Answer:
[tex]A=150\ cm^2[/tex]
Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]
So, the area of the triangle is equal to [tex]150\ cm^2[/tex].