Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]

The residual value is:

[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]

The residual value when x = 4 is 0.58

abidemiokin abidemiokin · Answer 2 · 2022-06-07T18:10:06+02:00

Functions are written in terms of variables. The residual value when the value of x is 4 is 0.58

Table and values

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

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