A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.

Answers

Answer 1

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

Answer 2

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

What are explanatory and response variables?

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

Explanatory variable: Heart rateResponse variable: Maximal oxygen uptake

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Learn more about correlation here:

https://brainly.com/question/10725272


Related Questions

Find the area of the shade region.round to the nearest tenth

Answers

Answer:

189.25

Step-by-step explanation:

first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25

Answer:

450.5 in²

Step-by-step explanation:

The area of the triangle

= (20×21)/2

= 210 in²

The hypotenuse of the triangle

=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]

=[tex] \sqrt{400 + 441} [/tex]

=[tex] \sqrt{841} [/tex]

= 29 in

The hypotenuse of the triangle (29 in)

= the diameter of the circle

The formula of area of a circle= πr²

The radius of the circle

= 29÷2

= 14.5 in

The area of the circle

= π × 14.5²

= 660.5 in² (rounded to the nearest tenth)

The area of the shaded region

= 660.5 - 210

= 450.5 in²

Scale factor of 3 and 6

Answers

Answer:

3:6

3x2=6

Scale factor = 2

Step-by-step explanation:

Write 53 minutes to 4 hours as a ratio.

Answers

Answer:

The minutes wouldn't it be hours?

Step-by-step explanation:

Answer:

53:240

Step-by-step explanation:

Turn the hours into minutes since the minutes can't change to hours.

Not if this correct????

Answers

Step-by-step explanation:

(o, -2) is the correct answer because in -90°

P [x,y] =P' [y,-x ]

hope it is helpful to you

I need help please no links I will report

Answers

Answer: $1.45

Step-by-step explanation:

We start by subtracting the change from how much she payed for.

d = dollars | g = goldfish

[tex]16d - 0.05d = 15.95d[/tex]

Then we divide by the goldfish

[tex]\frac{15.95d}{11g} = 1.45d[/tex]

Our answer is 1.45!

Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.

Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $

Answers

Answer:

10$

Step-by-step explanation:

please help me.......​

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Let's use CAH  1st  , on the Lenovo building,  b/c we  have they Hypotenuse (Hyp)  and an angle and we want to know the other side of the Lenovo building

Cos(30) = x/294

294*Cos(30) = x

254.611 = x

Sin(30) = y / 294

294*Sin(30) = y

147 = y

perimeter = 147+254.611+294

perimeter Lenovo = 695.611 feet

For Asus building

hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 +  144.5*[tex]\sqrt{2}[/tex])^2 )]

hyp = 289

perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]

perimeter Asus = 697.7077

The difference of the two buildings is

697.7077 -  695.611 =2.09671 feet

the difference is 2.10 feet ( rounded to nearest 100th)

What is the slope of the line given by the equation y=-3X?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

y=mx+b

m=slope

m=-3

slope=-3

hope this helps!

using the slope- intercept form the answer would be -3 :)

Find the measure of an arc formed by 1 slice of pizza

Answers

I believe the answer is 2.2 but i could be wrong and if so sorry.

Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.

Answers

Answer:

28 hours  

Step-by-step explanation:


An inequality is two expressions that are
NOT equal, unlike an equation.
True
False

Answers

False have a good day

E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)

Answers

Answer:

7a+6b+1

...............

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

Combine like termsUse this fact:

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

What is the solution to the equation -x^3-4=0.5x^2+x+4​

Answers

Answer:

x = −2

Step-by-step explanation:

the steps are super long but this is the answer

What is the volume of the figure? Enter the answer in the box

Answers

Answer:

896

Step-by-step explanation:

Answer:

(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530

what is the distance between (8,-3) and (4,-7)

Answers

..I have tried

I don't know it is correct or not

hope it is helpful to you

Answer:

My sister has given correct answer

Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:

A)

m∠RST = m∠QRT – m∠QRS

B)

m∠QRT = m∠RST – m∠QRS

C)

m∠QRS = m∠RST – m∠QRT

D)

m∠QRS = m∠RST

Answers

I think it’s C but I’m not sure so keep trying

Can you please help me I will give you 10 points if you do

Answers

Answer:

A=-1, B=2

Step-by-step explanation:

A is between -2 and 0, which is -1, and B is between 1 and 3, which is 2

What is the factored form of 30x2 - 25x -30?

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30  Factoring

Step 2

30x2 - 25x -30  factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3)  Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

1. Write the point-slope form of the equation of the line with a slope of 2 that
goes through the point (4,-4).

Answers

Answer:

y+4=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-4)

y+4=2(x-4)   point slope form

In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mrs. Jones spend on marketing in January?

Answers

Answer:

$375

Step-by-step explanation:

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Find the value of the test statistic. Round to two decimal places.
A. Z= - 1.20
B. Z= -2.55
C. Z= -1.05
D. Z= -0.85

Answers

Answer:

B. Z= -2.55

Step-by-step explanation:

To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

11 of 50 men believe that sexual discrimination is a problem:

This means that:

[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]

19 of 40 women believe that sexual discrimination is a problem:

This means what:

[tex]p_W = \frac{19}{40} = 0.475,  s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]

Difference between the proportion of men and women:

[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]

[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.

This means that the null hypothesis is that they do not differ, than is, the difference is 0. So

[tex]H_0: p_D = 0[/tex]

At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So

[tex]H_a: p_D \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

For the sample, we calculated that:

[tex]X = -0.255, s = 0.0984[/tex]

The value of the test-statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]

[tex]z = -2.59[/tex]

Closes answer is Z = -2.55, option B.

factorise the following binomial expression 2m+8m^2h​

Answers

The answer is 2m (1 + 4mh).
The GCF is 2m, so you would factor that out of the equation.

I hope my answer helps!

PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS

Answers

Answer:

A. Stripped of things that cause pollutions

Step-by-step explanation:

You can find this in the last section 3rd sentence

*HELP GIVING BRAINLIEST**

14. The table shows the survey results of exercises
people do regularly.

Which is based on the table

Answers

A B C but not sure if it’s D or E

Answer:

A, B, and E are the correct options.

Step-by-step explanation:

You can see by the table shown, 12+25 people biked (37). The total of people that were surveyed would be 55 (the bottom right of the graph). Twelve people run but don't bike (down the first column to the left). Just follow the graph and you've got your answers!

Stuck on this question. Any help? ​

Answers

Answer:

no 5 7 6

Step-by-step explanation:


1. What is the m 2 in this parallelogram?
a) 115
b) 50
C) 15
d) 2
( IF I CAN ANSWER BOTH PLS DO )

Answers

Answer:

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]

[tex] \large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}[/tex] { Since AD [tex] \parallel[/tex] BC & Being alternate angle }

♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]

[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }

⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]

⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]

⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]

♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }

⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]

⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]

Q. Can we set up an equation 2x = 8 in question number 2 ?

Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.

Hope I helped! ♡

Have a wonderful day / night ! ツ

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C. 15

D. 4

Step-by-step explanation:

Hope this helps

(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above

Answers

Answer:

Step-by-step explanation:

Answer:

C.D.E.F

Step-by-step explanation:

log(A\sqrt{B}) \log(A^2)

A. \log(A) - 2\log(B) \log(A^2)  

Answer A is wrong  because sqrt is denoted by  1/2  and the coefficient of log B is 2 not 1/2

B. \frac{\log(A)\log(B)}{2} 2\log(A)

Answer B is wrong because  2 is multiplied by B instead of 1/2

C.\log(A) \frac{1}{2}\log(B) \log(A^2)

Answer C is correct because  1/2  is multiplied by log B

D. \log(A^{3}) \frac{1}{2}\log(B)

Answer D is also correct  because  1/2  is multiplied by log B

E. 3\log(A) \frac{1}{2}\log(B)

Answer E is also correct because  3  is co efficient of log A

F. \log(A^3\sqrt{B})

This is correct. Here the log is applied to the given fraction

Which of the following functions has a line of symmetry of x = 2?
y = (x - 2)2 + 5
y = (x + 2)2 - 5
y = (x - 5)2 + 2
y = (x + 5)2 - 2

Answers

THE SECOND ONE just because

Solve for the missing side of this right triangle.
24 mi
16 mi.

Answers

Answer:

384

Step-by-step explanation:

I just went to my calculator and did 24×16 and I got 384

The table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?

6/17
4/17
2/3
3/20

Answers

Answer:

6/17

Step-by-step explanation:

number of boys who like green over total number of boys :

[tex] \frac{12}{34?} [/tex]

6/17

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