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 answer to this question is $57.02
Answer:
Step-by-step explanation:
We can recognize that the parent function for all of these graphs is going to be y=x^2. What this means is that we can graph y=x^2 and then apply transformations to it to get to all of these new graphs.
1. y = -x^2 + 5
We can see that the coefficient of the x^2 term is negative which tells us that the graph will now open downwards.
We also know that we are adding 5 on the outside of the argument which means it affect vertical shift. Therefore, we will be moving 5 units up.
2. y = x^2 - 4
We can see that the only change made to this equation is subtracting 4 on the outside of the squared part of the equation. Again, this signifies vertical movement, but since it's negative we will be moving the entire y = x^2 graph down 4 units.
3. y = -x^2 - 1
What do you notice about this graph?
- negative coefficient
- subtracting 1 outside of the argument
What do these mean?
- negative coefficient: opens downwards
- subtracting 1: move entire y = x^2 graph down 1 unit
Answer:
n=6
Step-by-step explanation:
Consider the diagram below
Using the Theorem of Intersecting Chords
AE X ED= BE X EC
5 X n = 2 X 15
5n =30
n= 30/5 = 6
Answer:
×=3 y=-1
Step-by-step explanation:
I hope this helps
