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3 years ago

Guess the correlation coefficient, r.

Mathematics

1 answer:

sattari [20]3 years ago

8 0

Answer:

It would most likely be 0.9.

Step-by-step explanation:

The correlation coefficient ranges from -1 to 1 and is dependent on how strong the correlation is between the points. It cannot be 1.2 as it is above one and it cannot be 1 because all the points do not line up on the line of best fit. However, most do, so we can assume that there a strong positive linear relationship which means 0.9 would be the correct answer. The close r gets to zero means the less of a correlation there is. The line of best fit isn't negative so it cannot be -0.23 and it has a strongly positive correlation, not a weak one so it isn't 0.13.

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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the

Lostsunrise [7]

Answer: $5.7\ cm$

Step-by-step explanation:

Given

Rectangle has an area of $19.38\ cm^2$

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$\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)$

Substitute the value of width from (ii) in equation (i)

$\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7$

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2 years ago

Guess the correlation coefficient, r. ​

Guess the correlation coefficient, r.