Question

The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 24 students last week.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV.

Help please!!!!

Answer 1

Answer:

y = - 0.833 + 29.5

y = 17

Step-by-step explanation:

Drawing a best fit line through the data points:

The approximate regression model would have an intercept of about 29.5

The slope = Rise / Run = (y2 - y1) / (x2 - x1)

The slope = (5 - 25) / (27 - 3) = 20 / 24 = -0.8333

The regression equation is thus :

y = mx + c

m = slope ; c = intercept

y = - 0.833 + 29.5

B)

x = 15

y = - 0.833(15) + 29.5

y = -12.5 + 29.5

y = 17

Approximately 17 hours watching TV