Based on the residual plot, is the linear model appropriate?
An engineer is interested in the relationship between
the weight of a car (measured in pounds) and the fuel
economy (measured in miles per gallon of gas). To
investigate the relationship, she collects a simple
random sample of 10 cars and records their weight
and fuel efficiency. She finds the equation of the least-
squares regression line to be ý = 69 -0.0114x, where
y is the fuel efficiency (mpg) and x is the weight (in
pounds). The residual plot is shown.
No, the residuals are relatively large.
No, there is a clear pattern in the residual plot.
Yes, there is no clear pattern in the residual plot.
O Yes, about half of the residuals are positive and half
are negative.

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

❤️ (geometry) does the construction demonstrate how to copy an angle correctly using technology a) yes; the distance between points a and f was used to create circle h b) yes; the distance between points f and g was used to create circle h c)no; the distance between points a and f was used to create circle h d) no; the distance between points f and g was used to create circle h

Amayoral candidate would like to know her residents’ views on a tax on sugar drinks before the mayoral debates. she asks one thousand registered voters from both parties. these voters are an example of a census population convenience sample simple random sample