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Fa17 Stat 200-001 HW 9 Bonus (10 pts.) Due Friday, Dec. 8th Homework Problem 4 1

ID: 3317282 • Letter: F

Question

Fa17 Stat 200-001 HW 9 Bonus (10 pts.) Due Friday, Dec. 8th Homework Problem 4 13.5 pts] The ages (in years) of 10 infants and the number of hours each slept in a day is graphed in the scatter plot. The equation of the regression line is y -0.688x +14.440. Use the equation of the regression line to make a prediction for the given x-value, if you can. Wite a sentence interpreting the predicted value and the given value of x. If you cannot make a prediction, explain why. a) x=0.3 b) 1.1 years c) x=0.8 year d) Write the slope of the equation of the regression line below. Write a sentence interpreting the slope. Slope =

Explanation / Answer

for above regression equation: yhat=-0.668x+14.440

a) at x=0.3 ; predicted hour of sleep =-0.668*0.3+14.440=14.2396

b)at x=1.1 ; we can not make prediction because 1.1 falls outside of range on whcih our regression equation is based upon.

c) at x=0.8 ; predicted hour of sleep =-0.668*0.8+14.440=13.9056

d)here slpe =-0.668

which tells that with eery one year increase in age ; hours of sleep decrease by 0.668 hours