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alina1380 [7]
2 years ago
14

14.3-352-2 i need helppppp

Mathematics
2 answers:
Makovka662 [10]2 years ago
7 0

Answer:

-339.7

Step-by-step explanation:

quickmaths

inessss [21]2 years ago
3 0

Answer: 335.7

Step-by-step explanation:

If the problem is

14.3

-352

2

———

335.7

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An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m
SVETLANKA909090 [29]

Answer:

a) y=-6.254 x +75.064  

b) r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y)     Interest Rate (X)

       22                               9.2

       20                               7.6

       10                                10.4

       45                                5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225  

And the slope would be:  

m=\frac{-91.225}{14.5875}=-6.254  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125  

\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25  

And we can find the intercept using this:  

b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064  

So the line would be given by:  

y=-6.254 x +75.064  

Part b

For this case we need to calculate the correlation coefficient given by:

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

r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937  

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

6 0
3 years ago
Which equation represents a line that is parallel to y = -2x – 5?
Alex17521 [72]
I think is 2x+y=-5 the answer
3 0
2 years ago
What is the image point of (2, 4) after a translation left 4 units and down 1 unit?
Kitty [74]

Answer:

the answer is (-2,3)

Step-by-step explanation:

when moving to the left you going across the x axis 4 times and going down once om the u axis

8 0
2 years ago
Which rigid transformation(s) can map ABC onto FED
bogdanovich [222]

Answer:

I believe it would be B) Reflection, then translation

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
8 + 8( 8 - n ) = 40 + 8n
Ierofanga [76]

n=2

8+8(8-n)=40+8n (distribute 8 through the parenthesis)

8+64-8n=40-8n (add the numbers)

<em>72-</em>8n=40+8n (move the variable to the left side and change its sign)

<em>72</em><em>-</em>8n+8n=40

-8n+8n=40<em>-72</em> (connect like terms)

-16n = -32 (divide both sides by -16)

<u><em>n=2</em></u>




7 0
3 years ago
Read 2 more answers
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