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lutik1710 [3]
3 years ago
8

Help please! 10 points!

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

cos=adjacent/hyp

sin=opp/hyp

tan=opp/adjacent

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Answer:

The critical values of r are -0.708 and 0.708.

Step-by-step explanation:

A statistical test is being performed to determine whether there is any linear correlation between two variables.

The hypothesis can be defined as follows:

<em>H</em>₀: There is no  linear correlation between two variables, i.e. <em>ρ</em> = 0.

<em>H</em>ₐ: There is a significant linear correlation between two variables, i.e. <em>ρ</em> ≠ 0.

The test statistic is given as follows:

t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}

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\text{df}=n-2=12-2=10

The significance level of the test is, <em>α</em> = 0.01.

The critical values of <em>r</em> are:

r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708

*Use the <em>r</em> critical value table.

Thus, the critical values of r are -0.708 and 0.708.

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4 years ago
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