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

1/2 x 288 = ???????
What is the answer?

Answers

Answer:144

Step-by-step explanation:

Use a calculator

or 1/2 x 288 =  288/2 = 144

Answer: 144

Step-by-step explanation:

I'm assuming that the "x" in this statement is a multiplication symbol.

Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.

Therfore the answer is 288/2 which is 144.

x/8.5=16/4
what's the answer

Answers

Answer: x = 34

Explanation:

x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34

If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?​

Answers

11.5 because all you do is divide the numbers by 2

Answer:

11.5

Step-by-step explanation:

x=8 & y=23

then

x=4 is half so you divide by 2

so half of 23 would be 11.5. If you are rounding then it would be 12

Help me somebody pleaseeee

Answers

What do you need help with?

Hope you are doing well! :)

(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.

Answers

40% = 0.4
Explication:
40 / 100 = 0.4

Please help

Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]

Answers

Answer:

the answer is 2,-1 please mark me brainless thank you

Answer:

The answer would be (2,-1)

Step-by-step explanation:

Fill in 2 and then -1

Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=

Answers

Answer:

(0.2, 3.2)

Step-by-step explanation:

line A, in red, has equation          y=x+3   times 3    3y=3x+9

line B, in blue, has equation 2x+ 3y = 10

                                             -3x + 3y = 9      subtract thes two equations      

                                         (2x - -3x) + (3y -3y) = 10 - 9

                                                  5x + 0y  = 1

                                                         5x  =  1  

                                                           x = 1/5    or  0.2

                                                y = x + 3

                                                y = 0.2 + 3

                                                y = 3.2

Which side lengths form a right triangle?

Answers

C is the right answer
I’m looking at B but it might be C

Question 1 of 10
Using the graph below, select all statements that are true.
.
+10
O A. (5.1) = 5
OB. This graph is one-to-one.
C. f(0.6) = 0
D. This is the graph of the greatest integer function,
E. (-3.2) = -3
SUBMIT

Answers

Answer:

the answer is going to be b

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.

Answers

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]

To get the best estimate of the total volume, let us find the average of the two values, hence:

[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]

A company bought 7 machines. Each machine weighs 642.4 pounds. How many pounds do the 7 machines weigh altogether?

Answers

Answer:

4496.8 pounds

multiply 642.4by7

use the graph of the function f shown to determine the y intercept

Answers

Answer:

That's hard wish you the best tho.

Step-by-step explanation:

Plz help!!!

Which equation represents the graph?

Answers

Answer:

Option C : y=|x|-6

Step-by-step explanation:

Write an equation that you can use to find the value of x.

The perimeter of the triangle: 16 in.

Answers

Answer:

This question seems incomplete

help me please!!!!! and thank you!

Answers

Answer:

After 5 minutes, the submarine is at 240 ft below sea level.

Step-by-step explanation:

-300 + 16z

After 5 minutes, z = 5.

-300 + 16(5) = -300 + 80 = -240

After 5 minutes, the submarine is at 240 ft below sea level.

A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?

Answers

Answer: 90000 Pairs at 2030

Step-by-step explanation:

2030 - 2016 = 14

14 x 5 = 70

30% of 300k = 90000

HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?

A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280

Answers

Answer:

B

Step-by-step explanation:

11.25-2.75 = 8.5

8.5/.05 = 170

Answer:

Step-by-step explanation:

170

what is the measure of angle p enter your answer as a decimal in the box round only your answer to the nearest hundredth

Answers

Measure of Angle P is 67.38.
Explanation: We know that Angle Q is 90 degrees, so if given sides and one angle, you can use the law of sines to find the angle measurements.
Law of Sines: Sin A/a=Sin B/b=SinC/c

kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week

Answers

Answer:

after 35 hours she makes 11.75 an hour

Step-by-step explanation:

In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.

Answers

x+9x+20 = (x+4)(x+5) or (x+5)(x+4)
so the answer could be 4 or 5

How many 5/6 s are in 3?

Answers

Step-by-step explanation:

If we think over it, we could recognise that this question is like

How many 3's are in 6?

Probably the answer is

2

, as

6

÷

3

=

2

So, we divide

1

by

5

6

1

÷

5

6

1

6

5

6

5

1

1

5

=

1.2

So, there are

1

1

5

number of

5

6

's in

1

Answer:

3/(5/6)

Step-by-step explanation:

multiply the numerator and denominator by 6

18/5

PLS HELP DUE SOON!!!

Answers

Answer:

its both.

Step-by-step explanation:

RNA and DNA are made up of nucleotide(s).

Answer: Both DNA and RNA

Step-by-step explanation:

I need the answer real fast PLZ​

Answers

Answer:

54%

Step-by-step explanation:

I did the test.

What is the volume to the nearest tenth?

Answers

Answer:

34.4 yds3

Step-by-step explanation:

tuve la misma pregunta hoy

First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1184 registered. Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer.

Answers

Answer:

The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".

Step-by-step explanation:

Given:

[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]

The sample proportion is computed by subtracting that sample size by both the successes:

[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]

Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]

add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):

So, the boundaries of the confidence interval:

[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]

Which of the following rational functions is graphed below?

Answers

Answer:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

Step-by-step explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

I will give you Brainliest and 500 points if you do this

Answers

1 = A 2= H 4= J 5= D
i don't know the answer to 3 though sorry
hope this helps if u have any questions let me know and also if u could mark this as brainliest i would really appreciate it!

a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces ​

Answers

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch

Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Answers

(0.10)m +10.00 = 23.80
0.10m = 13.80
m=13.80/0.10
m = 138 minutes

Answer:

She talked for 138 minutes

Step-by-step explanation:

Is this model a function?

Explain.

(Someone pls be a decent human being and not send links, all links will be reported)

Answers

Answer:

Yes, that model is a function.

Step-by-step explanation:

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

And the model shows that each domain ( x ) only goes to one codomain ( y )  which is what a function is.

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