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2 years ago

10

Nick is selling software and earns 12% of his sales as a commission If he sells a total of $668 in software this week, how much

is his commission

1 answer:

Radda [10]2 years ago

4 0

Answer: $80.16 ($748.16)

Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12

(i'm doing your math in the middle of my math class. you're welcome.)

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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 $r^2 = 0.657^2 =0.432$

6 0

3 years ago

In class, 5/9 of the students have blue Eyes. if 10 students have blue eyes, how many students are in the class in total?

KiRa [710]

Let us cross multiply.

5/9=10/x

9 x 10= 5x

90=5x

90 <u />÷ 5= 5x <span>÷ 5

18=x

So, the answer is 18. I hope this helped you, since I just learned cross multiplication last week.</span>

8 0

2 years ago

Read 2 more answers

An initial population of 20 rabbits triples every half year. The function f(x) = 20(3^x) gives the population after x half-perio

luda_lava [24]

The number of rabbits that there will be in 3 years is 14,580.

<h3>What is the number of rabbits in 3 years?</h3>

The growth rates of the rabbits is an exponential growth. The formula that can be used to represent the population of the rabbits in 3 years is:

f(x) = 20(3^x)

Where x represents the number of years. The number of years is 6(3 x 2)

20 x 3^6 = 14,580

To learn more about future value, please check: brainly.com/question/18760477

6 0

2 years ago

Is it A<br><br> B<br><br> C<br><br> D<br><br> Will be marked as crown

Solnce55 [7]

The answer is B just took the test

3 0

2 years ago

Read 2 more answers

Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save

olga2289 [7]

Answer:

50%

Step-by-step explanation:

Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.

8 0

2 years ago