The scatterplot and trend line show a positive correlation between advertising costs and sales. The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line? y = 15x + b

Respuesta :

When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 -  96 = 21

Confirm this value by checking (6.6, 120).
15*6.6 + 21 = 120 (Correct)

Answer: b = 21

The value of b in the equation of the trend line is 21

The equation of the trend line of the scatter plot is given as:

y = 15x + b

The points are given as: (6.4, 117) and (6.6, 120).

Using (6.4, 117), we have:

117 = 15 * 6.4 + b

Evaluate the products

117 = 96 + b

Subtract 96 from both sides

21 = b

Rewrite as:

b =21

Hence, the value of b in the equation of the trend line is 21

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