Maths-
General
Easy

Question

# 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=3.5ii) y when x=0iii) x when y=1.5iv) x when y=5.5

Hint:

### Step 1 of 4:The coordinate points for the given table are:(1,1),(2,2),(3,2),(4,3),(5,4),(6,4),(7,5).The scatter plot based on the points is:Step 2 of 4:Here, the variables x and y increases and decrease together. Even though, the change is not linear,they increase and decrease steadily.Hence, the scatter plot has a positive correlation.Step 3 of 4:The trend line based on the scatter plot is:Step 4 of 4:The values of x when y = 3.5, y = 0, y = 1.5 and y = 5.5 are:X = 5, x = 0, x = 2, x = 7.5That is, the points are: (0, 0), (2,1.5), (5,3.5), (7.5,5.5).

We might not get the accurate values by analyzing the trend lines. Since, it approximates the pattern of the set of values.