Question 1
x and y1, The correlation for this relationships would be 0.46 because the graph shows a positive relationship and values follow a straight line but values are not close to the line.
x and y2, The correlation for this relationships would be -0.81 because the graph shows a negative relationship and values follow a straight line and most values are close to the line.
x and y3, The correlation for this relationships would be 0.01 because the graph shows a positive and negative both relationship and values do not follow a straight line but a parabola.
x and y4, The correlation for this relationships would be 0.87 because the graph shows a positive relationship and values follow a straight line but most values are close to the line.

Question 2
(i)
We can see that there is a positive relationship between county-level votes for Perot in 1996 and Buchanan in 2000. There seems to be a strong relationship between the number of votes cast for Ross Perot (a 3rd party candidate with roughly similar positions as Buchanan) in each county in 1996 and the number of votes for Buchanan in 2000 as most of the points seems to fit on a straight line except one point which is Palm Beach County is the point labeled as “PBC”. This point seems to be an outlier in the data but it is also depicts a positive relationship.
(ii)
The correlation coefficient considering all points is 0.7162634 which is a positive value and since this values line between 0.5 and 0.8, we can say that there is a moderator positive relationship between these two variables.
The correlation coefficient considering excluding PBC is 0.9225874, this is a positive and value more close to 1 and it means that there is a strong positive relationship between these two variables. This relationship excluding one single point or value of PBC, the correlation coefficient value increased significantly from 0.7162634 to 0.9225874, it means that Palm Beach County is an outlier in this data. This should be excluded from data in order to perform other analyses.
(iii)
The value of slope coefficient is 0.03592; it means that if there is a one unit increase in Perot vote, the Buchanan vote will increase by 0.03592 units.

Hand Computation: Y Y 16 X1 7.2 X1 X2 - - 9 - Mean Y = 5 Mean...