The coefficient of correlation is independent of change of scale and origin of the variable X and Y. Change of origin means some value has been added or subtracted in the observation. If we divide all observations with x then new mean =initial mean/x.
<em>Answer:</em>
<em>2 whole 1/4</em>
<em>Step-by-step explanation:</em>
<em>When forming a perfect square trinomial you need to "complete the square".
</em>
<em>All of the steps to completing the square when solving an equation:
</em>
<em>1. The leading coefficient must be 1. </em>
<em>2. Divide b by 2.
</em>
<em>3. Square (b/2)
</em>
<em>4. Add (b/2)^2 to both sides to keep the polynomial balanced.
</em>
<em>5. You can now write the perfect square trinomial and solve.
</em>
<em><u>
</u></em>
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
To solve for the confidence interval for the true average
percentage elongation, we use the z statistic. The formula for confidence
interval is given as:
Confidence interval = x ± z σ / sqrt (n)
where,
x = the sample mean = 8.63
σ = sample standard deviation = 0.79
n = number of samples = 56
From the standard distribution tables, the value of z at
95% confidence interval is:
z = 1.96
Therefore substituting the known values into the
equation:
Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)
Confidence interval = 8.63 ± 0.207
Confidence interval = 8.42, 8.84
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