Question

the scatter plot shows the number of hours worked, x, and the amount of money spent on entertainment, y, by each of 25 students. use the scatter plot to answer the parts below. (note that you can use the graphing tools to help you approximate the line.) (a) write an approximate equation of the line of best fit. round the coefficients to the nearest hundredth. y = 0.82x + 1.00 (b) using your equation from part (a), predict the money spent on entertainment for a student who works 12 hours. round your prediction to the nearest hundredth. $11.56

Explanation:

Step1: Identify the line - of - best - fit equation

The given line - of - best - fit equation is $y = 0.82x+1.90$.

Step2: Substitute the value of $x$

We are asked to find the money spent on entertainment when $x = 12$ (number of hours worked). Substitute $x = 12$ into the equation $y=0.82x + 1.90$.
$y=0.82\times12+1.90$.

Step3: Perform the multiplication

$0.82\times12 = 9.84$.
So, $y=9.84 + 1.90$.

Step4: Perform the addition

$y=11.74$.

Answer:

(a) $y = 0.82x+1.90$
(b) $\$11.74$