Whats 1 1/2 cups of sugar to 3 cups of flour

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

Carmen wants to install a fence . each section of fence is 2.4 metres long and cost $6.00 pre metre. Carmen will need 16 section

White raven [17]

For this case, the first thing we must do is calculate the total cost.
We have then:
C = (16) * (2.4) * (6)
C = 230.4 $
Then, the change it receives is given by:
250 - 230.4 = 19.6 $
Answer:
He has received 19.6 $ from $ 250

5 0

3 years ago

What is the decimal of 2 1/3

34kurt

Answer:

2.3333333333

Step-by-step explanation:

2+1/3

= 2.3333333333

= 233.33333333%

7 0

3 years ago

3(x-1)=2x+9. Solve equation

Anna11 [10]

Hello.

In order to solve this equation, we need to isolate the variable (in this case, the variable is x)

The first step is to use the Distributive Property and distribute 3:

$\mathrm{3(x-1)=2x+9}$

$\mathrm{3x-3=2x+9}$

Now, add 3 to both sides:

$\mathrm{3x-3+3=2x+9+3}$

$\mathrm{3x=2x+9+3}$

$\mathrm{3x=2x+12}$

Now, subtract 2x from both sides:

$\mathrm{3x-2x=2x-2x+12}\\\mathrm{3x-2x=12}$

$\mathrm{x=12}$

Therefore, the answer is

$\mathrm{x=12}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

5 0

2 years ago

Read 2 more answers

I NEED HELP ASAP

fredd [130]

A.4x=16+5
4x=21
x=21/4
x=5.25
b.I am not sure about the question too much as solution for the question above
35+3x-11=2335+3x-11
have no solution but,
for 2335+3x-11=23
3x=23+11-2335
=-2301
x =-2301/3
=-767.00

5 0

3 years ago