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
Effectus [21]
3 years ago
9

A pediatrician wishes to study how the average weight Y (in kilograms) of children changes during the first year of life. He plo

ts these averages versus the age X (in months) and decides to fit a least-squares regression line to the data with X as the explanatory variable and Y as the response variable. He computes the following quantities: r = correlation between X and Y= 0.84 x = mean of the values of X = 5.69 y = mean of the values of Y = 6.26 S_x = standard deviation of the values of X = 3.23 s_y = standard deviation of the values of Y = 2.04 The slope of the least-squares line is: A) 0.53.B) 0.64. C) 0.84. D) 2.04.
Mathematics
1 answer:
leonid [27]3 years ago
3 0

Answer:

Answer is option a ) 0.53

Step-by-step explanation:

slope = r*\frac{s_y}{s_x}

Given that a pediatrician wishes to study how the average weight Y (in kilograms) of children changes during the first year of life. He plots these averages versus the age X (in months) and decides to fit a least-squares regression line to the data with X as the explanatory variable and Y as the response variable.

He finds  the following quantities:

r = correlation between X and Y= 0.84

x = mean of the values of X = 5.69

y = mean of the values of Y = 6.26

S_x = standard deviation of the values of X = 3.23

s_y = standard deviation of the values of Y = 2.04

Using the formula for slope given above substitute to get

slope = 0.84*\frac{2.04}{3.23} \\=0.5305

round off to 0.53

Answer is option a ) 0.53

You might be interested in
Plz someone help me on this too plz plz
san4es73 [151]
1. 7 and -7 are both 7 units away from 0.  They are 14 units away from each other. Absolute value helps because rather than 7+(-7) being 0 absolute value makes anything positive so it becomes 7+7=14 to be able to count the units between the two.

2. 5 and -5 are both 5 units away from 0.  They are 10 units away from each other. Absolute value helps because rather than 5+(-5) being 0 absolute value makes anything positive so it becomes 5+5=10 to be able to count the units between the two.

3. 2 and -2 are both 2 units away from 0.  They are 4 units away from each other. Absolute value helps because rather than 2+(-2) being 0 absolute value makes anything positive so it becomes 2+2=4 to be able to count the units between the two.

Hope that helps
8 0
3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
Two factors of 24 add up to 11. What are they?​
Georgia [21]

ANSWER

My answer is in the photo above

8 0
2 years ago
Read 2 more answers
If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.
Nadya [2.5K]
Differentiating once, we have

f'(x)=f'(x)g(x)+f(x)g'(x)

Differentiating again,

f''(x)=f''(x)g(x)+f'(x)g'(x)+f'(x)g'(x)+f(x)g''(x)
f''(x)=f''(x)g(x)+2f'(x)g'(x)+f(x)g''(x)

as needed.
5 0
2 years ago
What is the Mean of this question I need the answer ASAP
o-na [289]
Pretty sure the mean is 5
5 0
3 years ago
Other questions:
  • I am not sure how to answer this question and I've been stuck for so long
    9·1 answer
  • What is the volume of a cube that measures 5 cm on each side?
    5·1 answer
  • Please respond fast! Joey has a chart at his house where he records his height on his birthday each year. In a separate column,
    8·1 answer
  • The hypotenuse of a right triangle is 13 cm. one of the legs is 7 cm longer than the other leg. find the area of the triangle.
    5·1 answer
  • Abigail has a green,yellow,and purple shirt to mach with either a white,black,or red pair of pants.How many different shirt and
    13·1 answer
  • What is the standard deviation of the following data set rounded to the nearest tenth? 60, 40, 35, 45, 39
    14·1 answer
  • If f(2)=pi+7 then f^-1(pi+7)=?
    10·2 answers
  • If the Math Olympiad Club consists of 18 students, how many different teams of 3 students can be formed for competitions?
    10·2 answers
  • A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchor
    10·1 answer
  • How do you work out 803.309-133.36?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!