Question

Weight^ (pounds) = -150 + (5 * Inches Tall)

a)Interpret the intercept (bo)in the context of the problem.

b)Interpret the slope (b1)in the context of the problem.

c)Predict the weight of a person who is 6 feet tallusing the regression line.

d)If a person 6 feet tall truly weighs 200 pounds, what is their residual value?

e)Give 1 example of an outlier that would not be an influential value and 1 example of an outlier that would be, in the context of this height and weight example.

Answer 1

Weight^ (pounds) = -150 + (5 * Inches Tall)

a) in this problem want to be b0=0 or grater

if x equal to zero then we want y possitve .beacouse weight is always positve.

but they show negative value(-150) in the sense if you have 20 inches then your weight is minus, how's it is possible ..

they show little bit wrong.

b)Interpret the slope (b1)in the context of the problem.

sure, b1 is slope of model,or coefficient of inches tall

if your inches tall increase by one unit then your weigth will be increase 5 pounds .

(if tall increase by one unit then your weigth will be increase into 5 times pound of inches tall values)

c)Predict the weight of a person who is 6 feet tallusing the regression line.

you gave 6 fit ,we convert into inchess becouse we taken iches tall in model

inches tall=12*6 =72

Weight^ (pounds) = -150 + (5 * Inches Tall)

=-150+5*72

= -150+360

=210 pounds..

d)If a person 6 feet tall truly weighs 200 pounds, what is their residual value?

true value=200

predicted=210

(210*200)^2 = 10^2 = 100

e)Give 1 example of an outlier that would not be an influential value and 1 example of an outlier that would be, in the context of this height and weight example.

but they show negative value(-150) in the sense if you have 20 inches then your weight is minus, how's it is possible ..

meanse all less then 25 inches pearson weigth are negative.this is not possible value.

hope you understand

Thanks