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
The two scalene triangles seen below are similar figures. What is the scale factor from the small scalene triangle on the left t
aliina [53]

Answer:

scale factor= 4.7

Step-by-step explanation:

47/10= 4.7

32.9/7= 4.7

28.2/6= 4.7

To figure out the scale factor for the smallest to the largest triangle, divide the larger number by the smaller number (of the same side).

If you wanted to get the scale factor of the largest to smallest triangle, you would just do the opposite.

ex. 10/47, 7/32.9...

6 0
3 years ago
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
Help please? I’m not too sure what to do?
mamaluj [8]

Answer:

75

Step-by-step explanation:

Average needed to get grade C = 70

Average = Total Amount / No of Items.

No of items = 4

therefore Total needed = 70 x 4 = 280

current total score = 66.75 + 66 + 72.25 = 205

the fourth test minimum score = 280 - 205 = 75

6 0
3 years ago
The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid.
loris [4]

Answer:

  • 110 in²

Step-by-step explanation:

<u>Area of trapezoid formula:</u>

  • A = (b₁ + b₂)h/2

<u>Substitute the values on the sketch and find the area:</u>

  • A = (9 + 13)*10/2 = 110 in²
8 0
3 years ago
PLEASE HELP!! WILL MARK BRAINLIEST IF RIGHT!!!
denpristay [2]

Answer:

images are:

W'(-5,0)

X'(0,-9)

Y'(-9,-6)

Z'(-6,-2)

Step-by-step explanation:

use formula p(x,y)=p'(y,-x)

4 0
3 years ago
Other questions:
  • If a 24 pack of cans is 2 for $9 what is the ratio of the number of cans to price
    14·2 answers
  • You make 48 pints of pink paint by using 5 pints of red paint for every 3 pints of white paint.
    5·1 answer
  • Work out the length of the perimeter.
    11·1 answer
  • What is the quotient of 6 divided by 3/4
    8·2 answers
  • Which expression is equivalent to |x| &gt; 11?
    12·2 answers
  • Please help! Will mark brainliest if correct! Worth 30 points! Wont give brainliest if you're not correct.
    7·1 answer
  • buys a shirt for $25. If the sales tax was 5%, what is the total price that Derrick pays for the shirt?
    6·2 answers
  • Write a polynomial for the volume of a cube with a side length of (x-1) inches.​
    10·1 answer
  • What is 20 dived by 5 +19-6
    9·2 answers
  • Please answer this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!