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trasher [3.6K]
3 years ago
13

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13

5 + 6x. This implies that if the height is increased by 1 inch, the weight is expected to increase by
an average of 6 pounds.
Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

And the slope would be:

m=6

The means for x and y are given by:

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

For this case we know that the line adjusted is:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

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G(x)=27x^3+125
Darya [45]

Answer:

The answer to your question is: (3x + 5)(9x² - 15x + 25)

Step-by-step explanation:

Data

G(x) = 27x³ + 125

This is a sum of cubes

Process

\sqrt[3]{27} = 3

\sqrt[3]{125} = 5

      27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)

8 0
3 years ago
Suppose we choose7 objects without replacement from 9 objects
stiks02 [169]

Answer:

<h2>181 440</h2>

Step-by-step explanation:

We have 9 choices for Choosing the first object

              8 choices for Choosing the 2nd object

              .

              .

              .

             3 choices for Choosing the seventh object

Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440

Also ,we can calculate it this way :

9P7 = 181 440

7 0
2 years ago
Which transformations can be used to show that circle P is similar to circle Q?
12345 [234]
Circle Q is a translation of circle P, 6 units up and <span>Circle Q is a dilation of circle P with a scale factor of 7 are both correct answers.

Similar figures can result when a figure is translated (moved or slid) to a different position or when it remains the same shape but in a different size (dilation).</span>
5 0
3 years ago
Read 2 more answers
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
melamori03 [73]
4/12 plus 9/12 =15/12=1 3/12 = 1 1/4
3 0
2 years ago
What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.
Naddika [18.5K]
<h3>Answer: A) 5 units</h3>

====================================================

Explanation:

The two points given are

C = (x1,y1) = (2,-1)

D = (x2,y2) = (5,3)

Use the distance formula

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The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.

6 0
2 years ago
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