1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pani-rosa [81]
3 years ago
12

The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc

ular endurance y. The accompanying data was read from a plot in the paper.
x: 400 740 770 810 850 1035 1190 1240 1290 1390 1475 1480 1505 2200
y: 3.80 4.10 4.80 5.30 3.90 3.40 6.20 6.88 7.55 4.95 7.90 4.45 6.70 8.90

Sxx = 2,648,130.357, Syy = 36.7376, Sxy = 7408.225.

a. Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places.
b. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

You might be interested in
Find the product. <br> n(n+3)
bekas [8.4K]
Distribute.
n(n+3)
Answer : n^2+3n
7 0
3 years ago
Type a digit that makes this statement true.
bazaltina [42]

Answer:

2860016

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Kevin has $25. MP3 downloads cost $0.75 each. How many songs can he download and still have $13 left to spend?
matrenka [14]
It would be .75x=25-13
So .75x=12
x=16 because .75×16=12
8 0
3 years ago
Read 2 more answers
alex buys a home for $276,400. his home is predicted to increase in value 3.5% each year. What is the predicted value of alex's
Katarina [22]
276400(0.035) = $9674 the equivalent value in dollar for every increase in the house then multiplied by 25. $9674*(25) = $241850 + the current value of Alex's home. $276400+ $241850 = $518250 that would be the value of Alex's home in 25  years. The percentage is (518250-276400)/ 276400 =0.875 *100 = 87.5 % increase in value. I hope this would help.
4 0
3 years ago
Read 2 more answers
Would it make sense to add more points to the graph from x=0 to x =0?
Sedaia [141]
No, because you're not actually moving.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Factor the trinomial 10x^2 + 11x - 6
    5·1 answer
  • Which of the algebraic expressions are linear expressions? Select two answers.
    6·1 answer
  • Please help me out :D
    12·1 answer
  • The domain of a relation is
    8·2 answers
  • Which of the following equations have only one solution? Select all correct answers. 4x 2 + 4x = 0 x 2 + 6x + 9 = 0 9x 2 - 25 =
    9·2 answers
  • 7,000 is ten times as much as what number
    11·1 answer
  • I NEED THE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br><br><br><br><br> 1/7-3(3/7x-2/7)
    13·2 answers
  • To make a shade of green called “Jasper Green," mix 4 quarts
    8·1 answer
  • What percentage of the shape is green?<br><br><br><br> Write your answer using a percent sign (%).
    7·2 answers
  • What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁]
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!