Answer:
There is not sufficient evidence to support a claim of linear correlation between the two variables.
Step-by-step explanation:
The data provided is as follows:
X Y
78 5.5
79 8.8
56.2 3.3
68.3 1.7
77.9 10.8
38.2 0.1
(a)
The scatter plot is attached below.
(b)
Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, <em>r</em>.
The correlation coefficient between the number of internet users and the award winners is,
<em>r</em> = 0.797.
(c)
The test statistic value is:
The degrees of freedom is,
df = n - 2
= 6 - 2
= 4
Compute the <em>p</em>-value as follows:
*Use a <em>t</em>-table.
<em>p</em>-value = 0.057 > <em>α</em> = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.
The thing about this problem is odd because there is only one variable and an ordered pair would have 2 variables.
However, x= -57/8 or 7.125
Answer:
23.5 in
Step-by-step explanation:
To find the length of HJ in triangle GHJ, create <u>three equations</u> using the given information, then solve simultaneously.
<u>Equation 1</u>
HJ is two inches longer than GH:
⇒ HJ = GH + 2
<u>Equation 2</u>
GJ is 17 inches shorter than the sum of HJ and GH:
⇒ GJ + 17 = HJ + GH
<u>Equation 3</u>
The perimeter of ΔGHJ is 73 inches:
⇒ HJ + GH + GJ = 73
<u>Substitute</u> Equation 1 into <u>Equation 2</u> and isolate GJ:
⇒ GJ + 17 = GH + 2 + GH
⇒ GJ + 17 = 2GH + 2
⇒ GJ = 2GH - 15
<u>Substitute</u> Equation 1 into <u>Equation 3</u> and isolate GJ:
⇒ GH + 2 + GH + GJ = 73
⇒ 2GH + GJ = 71
⇒ GJ = 71 - 2GH
<u>Equate</u> the two equations where GJ is the subject and <u>solve for GH</u>:
⇒ 2GH - 15 = 71 - 2GH
⇒ 4GH = 86
⇒ GH = 21.5
<u>Substitute</u> the found value of GH into <u>Equation 1</u> and solve for HJ:
⇒ HJ = 21.5 + 2
⇒ HJ = 23.5
Answer:
x= -5/9
Step-by-step explanation:
Divide -9 from 5.
Answer: -13.3
Step-by-step explanation:
2 1/3 * -5.70 = -13.3
