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.
