Question

brian made statements about the line of best fit for the scatter plot data shown. identify any incorrect statements. correct his error(s). complete parts (a)-(d).

c. the parameters of the line of best fit are a slope of - 5 and a y-intercept of 52. select the correct choice below and, if necessary, fill in the answer boxes within your choice.
a. the statement is correct.
b. the statement is incorrect. the parameters of the line of best fit are a slope of and a y-intercept of .
(round to the nearest integer as needed.)
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Explanation:

Step1: Analyze line slope direction

The line of best fit in the scatter plot goes downward from left to right, so the slope is negative. We can calculate the slope using two points on the line, e.g., $(0, 50)$ and $(10, 10)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{10-50}{10-0}=\frac{-40}{10}=-4$

Step2: Identify y-intercept

The y-intercept is the y-value where the line crosses the y-axis, which is at $x=0$. From the line, this value is 50.

Step3: Evaluate the given statement

The given slope is -5 and y-intercept 52, which does not match our calculated values.

Answer:

B. The statement is incorrect. The parameters of the line of best fit are a slope of $\boldsymbol{-4}$ and a y-intercept of $\boldsymbol{50}$.