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kotykmax [81]
3 years ago
5

if the r-value, or correlation coefficient, of a data set is 0.769, what is the coefficient of determination to three decimal pl

aces
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0
The coefficient of determination r² is 0.769² = 0.591. This means that 59.1% of the data y can be explained by the linear relationship between x and y while the other 40.9% is still unexplained. The positive value for the correlation coefficient r means that as values for x increases, values for y also increase.
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Without using (10), show directly that (10.6^-1)^8=17.6^-8
blagie [28]
We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible. 

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm. 

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term. <span />
3 0
3 years ago
The highway mileage (mpg) for a sample of 5 different models of a car company can be found below. Find
qaws [65]
You got divide só see mean, the middle number is the median, range you add all number and divide but how many number has
5 0
3 years ago
Y= 3x-1<br> 2x+6=y substitution method
vfiekz [6]

Answer: (7, 20)

Concept:

There are three general ways to solve systems of equations:

  1. Elimination
  2. Substitution
  3. Graphing

Since the question has specific requirements, we are going to use <u>substitution </u>to solve the equations.

Solve:

<u>Given equations</u>

y = 3x - 1

2x + 6 = y

<u>Substitute the y value since both equations has isolated [y]</u>

2x + 6 = 3x - 1

<u>Add 1 on both sides</u>

2x + 6 + 1 = 3x - 1 + 1

2x + 7 = 3x

<u>Subtract 2x on both sides</u>

2x + 7 - 2x = 3x - 2x

\boxed{x=7}

<u>Find the value of y</u>

y = 3x - 1

y = 3(7) - 1

y = 21 - 1

\boxed{y=20}

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
Read 2 more answers
One number is four times the other number. The larger number is also 87 more than the smaller number.
12345 [234]

Answer:

  • 116

Step-by-step explanation:

Let numbers be x and y

<u>Then we have equations:</u>

  • x = 4y
  • x = y + 87

<u>Comparing</u>

  • 4y = y + 87
  • 4y - y = 87
  • 3y = 87
  • y = 87/3
  • y = 29

<u>Then, the larger number is</u>

  • x = 4*29 = 116
3 0
3 years ago
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
Andre45 [30]

Options:

A. Both the Highlands and the Lowlands data points are evenly distributed around the center.

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.

D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.

Answer:

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

Step-by-step Explanation:

From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.

Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.

Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."

7 0
3 years ago
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