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
kobusy [5.1K]
4 years ago
6

Two variables have a positive linear correlation. Is the slope of the regression line for the variables positive or​ negative?

Mathematics
1 answer:
ss7ja [257]4 years ago
4 0

Answer:

  positive

Step-by-step explanation:

The slope of the regression line is the product of the correlation coefficient and the ratio of the standard deviations of y and x. Standard deviations are always positive, so the sign of the regression line slope is determined by the sign of the correlation coefficient.

If the correlation is positive, the slope of the regression line is positive.

_____

In the formula attached, "b" represents the slope of the regression line.

You might be interested in
A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he
Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

h(t) = -16t^2 + 30t

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

f(x) = ax^2 + bx + c:

f(\frac{-b}{2a}) = maximum/minimum

i.e we first solve for \frac{-b}{2a}

Then substitute \frac{-b}{2a} for x in f(x) = ax^2 + bx + c

In our case:

First we need to solve \frac{-b}{2a}

Then substitute \frac{-b}{2a} for t in h(t) = -16t^2 + 30t

By comparison:

b = 30

c = -16

\frac{-b}{2a} = \frac{-30}{2 * -16}

\frac{-b}{2a} = \frac{-30}{-32}

\frac{-b}{2a} = \frac{30}{32}

\frac{-b}{2a} = \frac{15}{16}

Substitute \frac{15}{16} for t in h(t) = -16t^2 + 30t

h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})

h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}

h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}

h(\frac{15}{16}) = \frac{-225 + 450}{16}

h(\frac{15}{16}) = \frac{225}{16}

h(\frac{15}{16}) = 14.0625

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because 14.0625 < 15

8 0
3 years ago
The length of a rectangular map is 15 inches and the perimeter is 50 inches find the width<br>​
lesya692 [45]

Answer: 10

Step-by-step explanation: 15*2=30,

then you take 50 and subtract 30 from it that leaves you with 20

You then take that 20 and divide it by 2 (because there are two sides that have the width) you get 10

7 0
3 years ago
What is the economic term used for sustained increase in the price of goods and services?
vova2212 [387]
The economic term used to describe a period of sustained increase in the prices of goods and services is called inflation. Inflation is characterised mainly by a general increase in the prices of goods and services and a reduction in the currency's purchasing power. Hope this helps. Let me know if you need additional help!
8 0
4 years ago
Diagram the statement three fourths of 40 little engines could climb the hill
Art [367]
That dont een make no sense tho
5 0
3 years ago
By the black sheep has seven pounds of wolf is he separated into three bags together
dezoksy [38]
7 divided by 3 is 3.5
half of 6 is 3 and you can't evenly divided 7 by 2 so you would say that
        3.5
    +  3.5
__________
         7
5 0
3 years ago
Other questions:
  • Point G is the center of the small circle. Point X is the
    15·2 answers
  • PLEASE HELP ME! IM ON A TIMED QUIZZZZ
    11·1 answer
  • Please help me with this
    8·1 answer
  • How do you write 55 another way
    7·1 answer
  • Please help! If your really good/decent when it comes to math..then this should be easy.
    14·2 answers
  • 33/10 divided by 11/7
    15·2 answers
  • Isaac earned $1,800 last month. He put $270 into savings. What percent of his earnings did Isaac put into his savings
    12·1 answer
  • HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT
    14·1 answer
  • Monica deposits $ 3500 in a certificate and 6 months later she gets back $4000.Assume she is collecting simple interest.
    10·1 answer
  • How many combinations?<br> 3 flavors<br> 5 toppings<br> whip or no whip cream
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!