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Mashutka [201]
3 years ago
11

For a certain data set the regression equation is y = 2 + 3x. The correlation coefficient between y and x in this data set _____

__.
A. Must be 0


B. Is negative


C. Must be 1


D. Must be 3
Mathematics
1 answer:
lozanna [386]3 years ago
7 0

Answer:

C. Must be 1

Step-by-step explanation:

The correlation coefficient of an equation represents the relation between the  two variable ( dependent and independent )

It lies between -1 to 1,

If an equation has strongly positive correlation then the value of correlation coefficient is 1,

If there is no relation then the value of correlation is 0,

If there is strongly negative relation then the value of correlation coefficient is -1,

Here, the equation is,

y = 2 + 3x

Since, the value of y is increasing with increasing the value of x,

We can say that there is strong positive relation between the variables x and y,

Hence, by the above statements,

The correlation coefficient between y and x in this data set must be 1.

Option 'C' is correct.

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liraira [26]

Answer:

35 degrees

42 degrees

x = 8 degrees

x = 7 degrees

Step-by-step explanation:

1)

m <1 = 70/2 = 35 degrees

2)

m <1 = 84/2 = 42 degrees

3)

6 + 4 x = (9 x + 4) / 2

12 + 8 x = 9 x + 4

12 - 4 = x

x = 8 degrees

4)

3 x - 1 = x + 13

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x = 7 degrees

6 0
3 years ago
Can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
steposvetlana [31]

Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

5 0
2 years ago
Read 2 more answers
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1)? Check all
Lilit [14]

Answer:

B, E

Step-by-step explanation:

The equation of that line in slope intercept form is y = -2/5x + 2

The slope of a line parallel to that line will be the same as its slope, so -2/5.

To find the y-intercept of a line that passes through the point (-5, 1) with that slope, you will have to plug in the x and y values of that point into what you know of the equation of the line.

y = -2/5x + b

1 = -2/5(-5) + b

1 = 2 + b

-1 = b

From this, you can construct an equation.

y = -2/5x - 1

However, this is not an answer choice.  

It cannot be A because this line does not have a slope of -1.

2x + 5y = 15

5y = -2x - 5

y = -2/5x - 1

It can be B because this line is the same as the equation we came up with.

It cannot be C because this line does not have a slope of -1 or a y-intercept of -3.

2x + 5y = -15

5y = -2x - 15

y = -2/5x - 3

It cannot be D because this line does not have a y-intercept of -3.

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

y = -2/5x - 1

It can be E because this equation matches the one we came up with.

5 0
2 years ago
Read 2 more answers
Tublu buys a cylindrical water tank height 1.4 M and diameter 1.1 M to catch rainwater off his roof. ​
denis23 [38]

Complete Question:

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank(not the base). If he uses 250ml to cover 1m2, will he have enough paint to cover the tank with one layer of paint? Take pie as 3.142

Answer:

Yes. It will be enough to cover the tank with 1 layer of paint. The tank requires 1.21 liters of paint.

Step-by-step explanation:

Given:

Height of cylindrical tank (h) = 1.4m

Diameter = 1.1m (radius = ½ of 1.1 = 0.55 m)

Litres of paint available = 2 liters

Rate of usage of paint = 250 ml to 1 m²

π = 3.142

Required:

Determine if the available 2 liters of paint would be enough for the painting

Solution:

Step 1: calculate the curved surface area of the cylindrical tank

Curved surface area (CSA) = 2πrh

= 2*3.142*0.55*1.4

= 4.84 m²

Step 2: Calculate how many liters of paint is required to paint the cylindrical tank having a curved surface area of 4.84 m²

If 1 m² requires 250ml (0.25 liters) of paint,

4.84m² area will require 4.84*0.25 liters

= 1.21 liters of paint.

<em>Since 2 liters of paint is available, it means the paint will be more than enough to cover the tank with 1 layer of paint.</em>

7 0
3 years ago
PLs help...................
Karo-lina-s [1.5K]

Answer:

c

Step-by-step explanation:

it is c

8 0
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