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1 year ago

What is a base of 3 with an exponent of-3??

Mathematics

2 answers:

DaniilM [7]1 year ago

8 0

Answer:

The answer is 1/27

Step-by-step explanation:

3^-3 can be written as 1/3^3 and 3^3 = 3x3x3= 27

Therefore, the answer is 1/27.

ExtremeBDS [4]1 year ago

8 0

Answer:

If we multiply the number

=3*3*3

= 1/3 ^ -3

= 1/27

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Step-by-step explanation:

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3 years ago

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At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

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3 years ago

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Answer:

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A reflection over y-axis.

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2 years ago

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2 years ago

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Answer:

For this case, the method used would be simple random sampling since random digit dialing assumes that all possible people in the population have the same probability of being chosen.

We may have a non-response bias, because if a selected person does not choose the phone, we have no answers to the questions and there is no data available.

We may also have under coverage bias because some people may not have a phone and in this case these people would be excluded from the study

Step-by-step explanation:

For this case is important to remember the different types of sampling methods

Simple random sampling is a method where we select a sample size n and each individual in the population are equally likely to be selected.

Stratified random sampling is a method on which we select samples from subgroups of the population usually called strata.

Convinience sampling is a method that use a random number so select the sample

Cluster sampling is a method that separates the population in natural subgroups with no intersection between them and some of the groups are selected for the sample.

For this case, the method used would be simple random sampling since random digit dialing assumes that all possible people in the population have the same probability of being chosen.

Sources of bias

We may have a non-response bias, because if a selected person does not choose the phone, we have no answers to the questions and there is no data available.

We may also have under coverage bias because some people may not have a phone and in this case these people would be excluded from the study

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2 years ago

What is a base of 3 with an exponent of-3??​

What is a base of 3 with an exponent of-3??