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
If the hikers want to share the fruit evenly how many pieces should each person receive ?
Ivan
Is there a photo to attach to this? Number of hikers, number of fruit would be appreciated.
3 0
3 years ago
Baseball Ichiro Suzuki holds the American League record for the most hits in a single baseball season. In 2004, Suzuki had a tot
mamaluj [8]

Let Home runs = X

Triples would be X-3 ( 3 less triples than home runs)

Doubles would be 3x ( 3 times as many doubles as home runs)

Singles would be 45(x-3) ( 45 times as many singles as triples)

Simplify the equation for singles to be 45x-153

Now you have X + x-3 + 3x + 4x-135 = 262

Simplify:

50x - 138 = 262

Add 138 to both sides:

50x = 400

Divide both sides by 50:

x = 400/50

x = 8

Home runs = x = 8

Triples = x-3 = 8-3 = 5

Doubles = 3x = 3(8) = 24

Singles = 45(x-3) = 45(8-3) = 45(5) = 225

7 0
3 years ago
(3z+1)(4z+2) simplify
Lorico [155]

You can FOIL (First, Outside, Inside, Last)

(3z+1)(4z+2)

First

(3z+1)(4z+2)

3z * 4z

12z^{2}

Outside

(3z+1)(4z+2)

3z * 2

6z

Inside

(3z+1)(4z+2)

4z * 1

4z

Last

(3z+1)(4z+2)

2*1

2

Combine all the products of FOIL together

12z^{2} + 6z + 4z + 2

Combine like terms

12z^{2} + 10z + 2

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
Ticket
NARA [144]

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

3 0
3 years ago
In the rectangular prism shown below, which lines are parallel?
olga_2 [115]

Answer:

JN and LP...............

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x and y.<br>I haven't learned this yet and I really need help ​
    11·1 answer
  • What is the whole number that has both 6 and 8 as factors?
    5·1 answer
  • Joan wants to make cookies. To make cookies, she needs 1 cups of flour per
    8·1 answer
  • 2.
    15·1 answer
  • Please help on 10 thank you so michy
    13·1 answer
  • Please help!!!!!!!!!!!
    9·1 answer
  • Translate the description as an algebraic expression:<br> 5 more than the sum of 11 and b
    5·1 answer
  • Simplify _4x+2y+z_3x+2y_2z ​
    10·1 answer
  • Why is the table not a probability distribution table?
    7·1 answer
  • Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!