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jolli1 [7]
3 years ago
12

1 (06.06 LC

Mathematics
1 answer:
Anika [276]3 years ago
5 0

The question is incomplete. Here is the complete question.

A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is y=3.27+2.14x, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.

b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.

d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.

e. The slope has no meaning because the units of measure for x and y are not the same.

Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

Step-by-step explanation: The <u>least-squares</u> <u>regression</u> is a method of fitness, i.e., it fits a data set of number into an equation.

In this case, the relationship between number of texts per minute and customer age is given by a line equation:

y=3.27+2.14x

in which, y represents the number of texts per minute and x is the age.

In a line equation, slope is the measure of steepness, i.e., how inclined the line is.

In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.

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In the kite , AK=9 , JK=15 , and AM=16 .
Veronika [31]

Answer:

The Length of JM is 20.

Step-by-step explanation:

Given,

JKLM is a kite in which JL and KM are the diagonals that intersect at point A.

Length of AK = 9    

Length of JK = 15  

Length of AM = 16

Solution,

Since JKLM is a kite. And JL and KM are the diagonals.

And we know that the diagonals of a kite perpendicularly bisects each other.

So, JL ⊥ KM.

Therefore ΔJAK is aright angled triangle.

Now according to Pythagoras Theorem which states that;

"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

JK^2=KA^2+AJ^2

On putting the values, we get;

(15)^2=9^2+AJ^2\\\\225=81+AJ^2\\\\AJ^2=225-81=144

On taking square root onboth side, we get;

\sqrt{AJ^2} =\sqrt{144}\\\\AJ=12

Again By Pythagoras Theorem,

AJ^2+AM^2=JM^2

On putting the values, we get;

JM^2=(12)^2+(16)^2\\\\JM^2=144+256=400

On taking square root onboth side, we get;

\sqrt {JM^2}=\sqrt{400}\\\\JM=20

Hence The Length of JM is 20.

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3 years ago
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Answer:

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Step-by-step explanation:

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The questions 1, 2, and 5 are already matched in correct order.

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