Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The table below shows the heights​ (in feet) and the number of stories of six notable buildings in a city.

Height comma xHeight, x	768	628	518	511	491	478		​(a) x=503 feet	​(b) x=643 feet
​Stories, y	52	48	45	43	38	36		​(c) x=345 feet	​(d) x=727 feet

Find the regression equation.

​(a) Predict the value of y for x=503. Choose the correct answer below.

A. 52

B. 41

C.48

D.not meaningful

​(b) Predict the value of y for x=643. Choose the correct answer below.

A. 48

B. 33

C. 41

D. not meaningful

​(c) Predict the value of y for x=345. Choose the correct answer below.

A.52

B. 33

C.48

D. not meaningful

​(d) Predict the value of y for x=727. Choose the correct answer below.

A.41

B.33

C.52

D. not meaningful

Answer 1

y^ =0.048x+16.66

a)

predicted val=16.66+503*0.048=

41

b)

predicted val=16.66+643*0.048=

48

c)

D. not meaningful

d)

predicted val=16.66+727*0.048=

52