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
Paul [167]
3 years ago
10

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al

so know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

You might be interested in
Write the trigonometric expression <br> Cos (arcsin (u))<br> As an algebraic expression in u
makvit [3.9K]
When we use arcsine, we are finding the angle while giving the trigonometric ratio.

Arcsin(u) = theta can be rewritten as:

sin(theta) = u

Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.

We can use Pythagorean Theorem to find the adjacent (x value).

1^2 - u^2 = x^2

x = sqrt(1-u^2)

Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).

Cosine is adjacent over hypotenuse.

So our answer is sqrt(1-u^2)/1

Or just sqrt(1-u^2)







5 0
3 years ago
What is the range of the relation?​
tia_tia [17]
The correct answer is (-2,1,2,8)

The range are the y- values

The explanation:

The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Hope this helped you :D
7 0
3 years ago
Answer pleasee tyyy.
sveticcg [70]

HOPE THIS IS THE ANSWER FOR YOUR QUESTION

5 0
3 years ago
Thomas had 120 chicks 2/5 part given to Luke 1/4 part given to John. how many chicks does Mr. Thomas have now?
OlgaM077 [116]

Answer:

3248506784372764779684968'&'

6 0
3 years ago
Read 2 more answers
Which is a greater slope 3 or -4
castortr0y [4]

Answer:

3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

Step-by-step explanation:

3 is greater than -4, so strictly speaking, a slope of 3 is greater than a slope of -4.

On the other hand, the steepness of a line depends on the absolute value of the slope.

|3| = 3

|-4| = 4

Since 4 > 3, the line with slope -4 is steeper than the line with slope 3.

Answer: 3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

4 0
3 years ago
Other questions:
  • Daria walks 25 mile in 110 hour.
    9·1 answer
  • Simplify 0.05x + 1.02x. <br><br> A)0.17x <br> B)1.07x <br> C)1.7
    11·2 answers
  • Celine has a bottle that contains 20% of milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation in
    14·2 answers
  • Michael works 35 hours per week and his weekly wage is $756. Find his hourly rate
    10·1 answer
  • What is the answer to x+1/2=5
    14·2 answers
  • Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and
    5·1 answer
  • Answer the following true or false. Justify your answer.
    6·1 answer
  • June runs little slower than Carlos. She ran 1/4 of a mile in 3 minutes. How long ill it take her to run a full mile?
    8·2 answers
  • 3/5 1/2 3/4 8/10 from least to greatest
    12·2 answers
  • I need an answer , i've put the pic down
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!