emir always serves cardamom tea to guests after a meal. he creates a scatter plot and determines a line of…
emir always serves cardamom tea to guests after a meal. he creates a scatter plot and determines a line of best fit to show the relationship between the number of cups of cardamom tea served and the number of guests for the 11 most recent times he had guests. based on the line of best fit, how many cups of cardamom tea should emir expect to serve if he has 15 guests? cardamom tea cups of tea served 11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 number of guests
Answer
Explanation:
Step1: Find the slope of the line of best - fit
Pick two points on the line of best - fit, say (2, 3) and (4, 5). The slope $m$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{5 - 3}{4 - 2}=\frac{2}{2}=1$.
Step2: Find the y - intercept
Using the point - slope form $y - y_1=m(x - x_1)$ with the point (2, 3) and $m = 1$, we have $y-3=1\times(x - 2)$. Simplifying gives $y=x + 1$.
Step3: Predict the number of cups for 15 guests
Substitute $x = 15$ into the equation $y=x + 1$. So, $y=15+1=16$.
Answer:
16