7 – 14m = 2m – 5 . Please help! Whoever gets it right gets the brainliest.
2 answers:
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Answer:
a) Figure attached
b)
For our case we have this:
n=10
So then the correlation coefficient would be r =0.989
Step-by-step explanation:
Previous concepts
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.
Solution to the problem
Part a
Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985
Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7
After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.
Part b
And in order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=10
So then the correlation coefficient would be r =0.989
Answer:
Step-by-step explanation:
<u><em>8).</em></u>
<em>(2)</em> × [ - 3 ]
4x + 3y = 1 ........ <em>(3)</em>
- 3x - 3y = - 6 .... <em>(4)</em>
<em>(3)</em> + <em>(4)</em>
x = - 5
- 5 + y = 2 ⇒ y = 7
<em>( - 5 , 7 )</em>
<u><em>9).</em></u>
<em>(1)</em> ÷ [- 3]
3x - y = - 6 ......... <em>(3)</em>
2x + y = - 4 ........ <em>(4)</em>
<em>(3)</em> + <em>(4)</em>
5x = - 10 ⇒ x = - 2
2(- 2) + y = - 4 ⇒ y = 0
<em>(- 2, 0)</em>
<u><em>10).</em></u>
<em>(2)</em> ÷ 10
x - 0.6y = 0 ⇒ x = 0.6y -----> <em>(1)</em>
0.6y - 2y = 14
- 1.4y = 14
y = - 10
x - 2(- 10) = 14 ⇒ x = - 6
<em>(- 6, - 10)</em>
Now is your turn, you can do it!!