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2 years ago

(a) (-3) × _ = 4 × _

Mathematics

2 answers:

Igoryamba2 years ago

8 0

Answer:

_3×4=4×_3=-12,pardon me if I am wrong I am just a beginner ❤

Assoli18 [71]2 years ago

4 0

$\large\bf{\underline{Answer :}}$

$\huge \: ( - 3) \times \underline{4} = 4 \times \underline{( - 3)}$

__________________________________________

$\huge\bf{\underline{Proof :}}$

$\large\bf{\underline{L.H.S :}}$

(-3) × 4 = -12

$\large\bf{\underline{R.H.S :}}$

4 × (-3) = -12

$\large\bf{\underline{Hence }}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{\underline{L.H.S = R.H.S}}$

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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

You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around t

elena-14-01-66 [18.8K]

Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

Step(i):-

Given that the mean of the sample = $81 k

Given that the size of the sample 'n' = 23

Given that the standard deviation for the salaries is $13 k

Step(ii):-

98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by

 $(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })$ 

Degrees of freedom = n-1 = 23-1 =22

 $t_{0.02} = 2.5083$ 

$(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )$

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

Final answer:-

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

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3 years ago

True or false 16.-84.-184-284 is an arithmetic sequence? O True O False

Liono4ka [1.6K]

Answer:

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3 years ago

Order the fractions from least to greatest 2/3,3/7,4/8

dolphi86 [110]

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Step-by-step explanation: Hope it helps

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3 years ago

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Karo-lina-s [1.5K]

Answer:

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y = (y2 -y1)/(x2 -x1)(x -x1) +y1

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y = -6/3x +7 . . . . . . . . simplify.

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f(x) = -2x +7

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2 years ago

(a) (-3) × _____ = 4 × _____

(a) (-3) × _ = 4 × _