Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that a. there is little reason to believe that the two variables have a linear association relationship
b. all of the data values for the two variables lie on a straight line.
c. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable.
d. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable.
e. there is a weak linear relationship between x and y with smaller x values tending to be associated with smaller values of the y variable

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The correlation coefficient r=-0.84 denotes that there is inverse relationship between x and y. It means that as the x values increase the y values decrease whereas as the x values decreases the y-values increases. Also, r=-0.84 denotes the strong relationship between x and y because it is close to 1. So, r=-0.84 denotes that there is strong linear relationship between x and y with smaller x values tending to be associated with larger y values.

Answer 2

Answer:

Final answer:

The correlation coefficient of -0.84 indicates a strong inverse relationship between x and y, with smaller x values generally corresponding to larger y values.

Explanation:

Based on the given correlation coefficient of -0.84, the correct answer is option d. This option states that there is a strong linear relationship between variables x and y, with smaller x values tending to be associated with larger values of the y variable.

A correlation coefficient communicates both the strength and direction of a linear relationship between two variables. In this context, a coefficient of -0.84 indicates a strong relationship (values close to -1 or 1 denote strong relationships), and because the value is negative, it reflects an inverse or negative correlation, meaning y tends to decrease as x increases, and vice versa.

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−5y=−5 THANKS
7x+6y=7

Is (5,1) a solution of the system?

Answers

Answer:

{x = 1/7,y = 1

Step-by-step explanation:

Solve the following system:

{-5 y = -5 | (equation 1)

{7 x + 6 y = 7 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 6 y = 7 | (equation 1)

{0 x - 5 y = -5 | (equation 2)

Divide equation 2 by -5:

{7 x + 6 y = 7 | (equation 1)

{0 x+y = 1 | (equation 2)

Subtract 6 × (equation 2) from equation 1:

{7 x+0 y = 1 | (equation 1)

{0 x+y = 1 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 1/7 | (equation 1)

{0 x+y = 1 | (equation 2)

Collect results: Answer: {x = 1/7,y = 1

Answer:

Step-by-step explanation:

You have a litre bottle of water and drink 375 millilitres.

How much is left?

Answers

The balance of water left in the bottle is 625 milliliters.

How Liters and Milliliters are calculated?

A liter exists as a unit of volume in the metric system.
A liter exists described as the volume of a cube that exists 10 centimeters on a side.
Liters and milliliters are metric units of volume which are used to measure the capacity of a liquid.
The capacity of a liquid can be measured in milliliters, centiliters, liters, and kiloliters.
There are about 3.785 liters in a U.S. gallon.

1 liter = 1000 milliliters

Let, 1000 milliliters - 375 milliliters = 625 milliliters

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Answer:

625 millilitres

Step-by-step explanation:

1 litre = 1000 millilitres

Left -> 1000 millilitres - 375 millilitres = 625 millilitres

Find the sum of the two polynomials (2x7−5x6−7x5+8)+(9x7−2x6−2x5−7)

Answers

Here you go! Hope this helps

Explain why Six less than three times a number is 21. Find the number.

Answers

Answer: 9

Step-by-step explanation: The reason that students get intimidated

by word problems is they try to look at all the information at once.

The best way to approach a word problem

is to break it down sentence by sentence.

In this problem, let's look at the first part of the sentence.

We know that six less than three times a number is 21.

Let's call the number x.

So we know that six less than three times a number means 3x - 6.

A common mistake would be for students to put 6 - 3x.

However, the word "less than" switches the order around.

So we know that six less than three times a number is 21.

So we can write this as 3x - 6 = 21.

Now we have an equation and we can solve for x.

First add 6 to both sides to get 3x = 27.

Now divide both sides by 3 to get x = 9.

So our answer to this word problem is 9.

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 19.7 cm 19.3 cm Mean Absolute Deviation 4.6 cm 5.2 cm The difference in the mean rainfall is approximately what percent of the mean absolute deviation of the data sets? 8% 23% 27% 67%