Question

A 4. Find the line of best fit for the following set of data:у> N-2.923.5-1.44.2x na-2-4.8-1.50-4-2.81.5-6-3.5O y = -4.141x +0.613O y=-0.613x - 4.141O y = 0.613x - 4.141O y = -0.613x +4.141

Answer 1

The equation of the line of best fit model for the table isy = 0.613x - 4.141

How to determine the equation of the best fit model

From the question, we have the following parameters that can be used in our computation:

The table of values

Using a graphing tool with the points in the table of values, we have the following summary

• Sum of X = 7
• Sum of Y = -24.7
• Mean X = 1
• Mean Y = -3.5286
• Sum of squares (SSX) = 38.94
• Sum of products (SP) = 23.87

A regression equation is represented as

y = bx + a

Where

b = SP/SSX = 23.87/38.94 = 0.61299

a = MY - bMX = -3.53 - (0.61*1) = -4.14157

So, we have

y = 0.613x - 4.141

Hence, the equation of the best fit model is y = 0.61x - 4.14

Answer 2

Step-by-step explanation

The equation of the best line of fit can be given as;

`y=mx+b`

where m is the slope and b is the intercept.

Using a graphing calculator, we can plot the points to get the graph, and the values of m and b

The graph can be seen as;

Therefore, using the above information

Answer: The line of best fit becomes

`y=0.613x-4.141`