Answer:
Because the absolute value of the test statistic is <u>less than</u> the positive critical value, there <u>is not</u> enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
Step-by-step explanation:
The correlation matrix provided is:
Variables Paper Glass
Paper 1 0.1853
Glass 0.1853 1
Te hypothesis for the test is:
<em>H</em>₀: <em>ρ</em> = 0 vs. <em>H</em>₀: <em>ρ</em> ≠ 0
The test statistic is:
<em>r</em> = 0.1853 ≈ 0.185
As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.
The critical value for the two-tailed test is:
The conclusion is:
Because the absolute value of the test statistic is <u>less than</u> the positive critical value, there <u>is not</u> enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
There is no c in this equaltion
9514 1404 393
Answer:
g(r) = (13 -πr)²/4
Step-by-step explanation:
The circumference of the circle is given by ...
C = 2πr
The amount of rope remaining after the circle is formed will be ...
26 -2πr
When this is used to form a square, each side of the square will be 1/4 of this length, so is ...
s = (26 -2πr)/4 = (13 -πr)/2
The area of the square is the square of the side lengths, so is ...
g(r) = ((13 -πr)/2)²
g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius
Answer:
The answer is 3/2
Step-by-step explanation:
the y-values are 3 units apart and the x-values are 2 units apart