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2 years ago

A. 3 B. 0.667 C. 0.333 D. 6

Mathematics

1 answer:

Tomtit [17]2 years ago

8 0

Answer:

C. 0.333

Step-by-step explanation:

It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333

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log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the

Ivanshal [37]

Answer:

third option: log_2 1/3

Step-by-step explanation:

change of base formula:

log_b a= (log_x a)/(log_x b)

(log 1/3)/(log 2)

apply reverse change of base formula

2 from log 2 becomes new base, and 1/3 becomes the other number

=log_2 1/3

7 0

2 years ago

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

Ending time 6:30, elapsed time 37 minutes

Nastasia [14]

Answer:

5:53

Step-by-step explanation:

The original time would be 37 minutes before 6:30 so you would subtract 37 minutes from 6;30. So 6:30 minus 30 would be 6 and you would have 7 left over so 6:00 minus 7 minutes would be 5:53

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2 years ago

HELP PLZ Derek’s favorite clothing store is having their annual fall sale. All clothing is 25 percent off. A shirt he really lik

Naya [18.7K]

Answer:

Step-by-step explanation:

257

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3 years ago

How many and what type of solutions does the equation have?

ella [17]

Answer: C

Step-by-step explanation:

Simplify to 4x^2 + 12x + 5 = 0 so that all the terms are on one side.

Do a part of the quadratic formula to see.

You only need to do the $-b^2-4ac$ part. If it is negative, that means there are irrational solutions. If it is positive, it has two solutions. If it is 0, it has 1 solution.

$12^2-4(4)(5) = 64$

It is positive so it has two solutions.

7 0

2 years ago