A pediatrician wants to determine the relation that exists b

A pediatrician wants to determine the relation that exists betwoon a chids height, x and head cicumfornce, y She andomly selects 11 chiln rm be practikce, meesures thet heighs and hahe accompanying data Complete parts (a) through (g Cick the icon to view the data table (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variatle The least squares regression line isy Data Table (Round to four decimal places as needed) ) Interpret the slope and yenerceptif appropriate Interpret the siope Height, inches) nches) Head cecunecHight nches) inches) y inches) increases by 1 inch, 1 byatoutLlinche. on- by about L- 1 inches, on average 27.75 245 255 25 25 27.75 175 172 17 1 17 3 169 17.6 27 27 26 75 26 75 27 5 17.3 175 173 175 17.5 Interpret the y intercept Choose the correctwer below O A. The y intercept is the childs head circumference when the childs height is 0 inches B. is not appropriate to interpret the y4ntercept it is otside the scope of the model C. If height increases by 1 inch, head circumference increases by about 0.1612 nh on-age (c) Use the regression equation to predict the head ciecumference of a child who is 25 inches tall Click to select your answerrs) TOSHIBAENE ENTER

Solution

a)The regression equation is given by Y = 0.1612X +13.0639

b) If X incresea by 1 inch then Y Chenges by 0.1612 inches

Y intercept is the child head circumference when child\'d head height is 0 inches

c) The head circumference of child whose head is 25 inches tall = 17.0939

d) The residual based on observed circumference is 16.9 - 17.0939 = -0.1939

e) Option C - Chart C and the head circumference is below average

f) The head circumference varies (option B)

g) Yes it is resonable