the scatterplot and trend line show a positive correlation between advertising costs and sales. the slope…
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
Answer
Explanation:
Step1: Substitute x and y values
We know the equation of the line is $y = 15x + b$. We can use one of the given points, say $(x = 6.4,y = 117)$. Substitute these values into the equation: $117=15\times6.4 + b$.
Step2: Calculate the product
First, calculate $15\times6.4$. $15\times6.4 = 96$. So the equation becomes $117=96 + b$.
Step3: Solve for b
Subtract 96 from both sides of the equation: $b=117 - 96$. $b = 21$.
Answer:
21