shanti wrote the predicted values for a data set using the line of best fit $y = 2.55x - 3.15$. she computed…

shanti wrote the predicted values for a data set using the line of best fit $y = 2.55x - 3.15$. she computed two of the residual values.\n\n| x | given | predicted | residual |\n|----|----|----|----|\n| 1 | $-0.7$ | $-0.6$ | $-0.1$ |\n| 2 | $2.3$ | $1.95$ | $0.35$ |\n| 3 | $4.1$ | $4.5$ | $a$ |\n| 4 | $7.2$ | $7.05$ | $b$ |\n\nwhat are the values of $a$ and $b$?\n○ $a = 0.4$ and $b = -0.15$\n○ $a = -0.4$ and $b = 0.15$\n○ $a = 8.6$ and $b = 14.25$\n○ $a = -8.6$ and $b = -14.25$

shanti wrote the predicted values for a data set using the line of best fit $y = 2.55x - 3.15$. she computed two of the residual values.\n\n| x | given | predicted | residual |\n|----|----|----|----|\n| 1 | $-0.7$ | $-0.6$ | $-0.1$ |\n| 2 | $2.3$ | $1.95$ | $0.35$ |\n| 3 | $4.1$ | $4.5$ | $a$ |\n| 4 | $7.2$ | $7.05$ | $b$ |\n\nwhat are the values of $a$ and $b$?\n○ $a = 0.4$ and $b = -0.15$\n○ $a = -0.4$ and $b = 0.15$\n○ $a = 8.6$ and $b = 14.25$\n○ $a = -8.6$ and $b = -14.25$

Answer

Explanation:

Step1: Recall residual formula

Residual = Given value - Predicted value

Step2: Calculate a

Substitute given/predicted for row 3: $a = 4.1 - 4.5$ $a = -0.4$

Step3: Calculate b

Substitute given/predicted for row 4: $b = 7.2 - 7.05$ $b = 0.15$

Answer:

$a = -0.4$ and $b = 0.15$