a.Attached is a scatter plot comparing the height and shoe size of a sample of RCCC females.

i)Do you believe the correlation is low, moderate, or strong? _____________________ Positive or negative? __________________

ii)If you were told the correlation coefficient was 0.688, calculate the coefficient of determination. ___________ (3 decimal places) Show your work.

iii)Based on your answer to (ii), what percentage of variation is explained by the model? _________ What percentage is not explained by the model? __________

b.(8 pts) Now, let's estimate what a shoe size might be if we used this data to a least-squares regression. Suppose the y-intercept is given as -15.3 and the slope is given as 0.356.

i)Write the equation of the least-squares regression, , using x to represent the height of a female and y to represent the shoe size of the same female.

______________________________________________

ii)Suppose a woman was 66 inches tall. Use your equation to estimate what her shoe size would be. (Round to the nearest half size.) Show your work!

_______________________________________________

Shoe Size vs. Height (inches) . Shoe Size 14 12- 10 Shoe Size 8 6 4- 55 60 65 70 75 Height (inches)