Consider the variables x and y and the corresponding bivariate data .
a)Draw a scatter plot for the data.
b)Is there positive, negative or no correlation between x and y?
c)Fit a line of best fit by eye to the data on the scatter plot.
d)Use your line of best fit to estimate:
i)y when x=3.5
ii) y when x=0
iii)x when y=2
iv) x when y=5.5

The correct answer is: We are asked to drawn the scatter plot, find the correlation, best fit line for the model and to estimate the value of when y=3.5, y=0, y=5.5,y=1.5.

ANSWER:
Step 1 of 4:
The coordinate points corresponding to the table is:
(1,2),(2,2),(3,3),(4,4),(5,4),(6,5),(7,5)
The scatter plot based on the given coordinate points is:

Step 2 of 4:
Analyzing the pattern, it is clear that both the variables x and y are increasing and decreasing together. They change is not perfectly linear, but it happens.
Thus, there exists a positive correlation among the variables x and y.
Step 3 of 4:
The trend line that best fits the data is:

Step 4 of 4:
The values of x when y=1.5, y=3.5and y=5.5 are:
x=0.5, x=4 and x=7.25.
There is no value of x corresponding to y=0.
The coordinate points are: (0.5, 1.5),(4,3.5),(7.25,5.5).

 

A trend line is called a regression line. If the line has a positive slope or drawn up wards, then the scatter plot has a positive correlation.