Find the equation of the regression line for the given data. Then construct a sc
ID: 3377353 • Letter: F
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, x","Stories, y"
772,51
628,48
518,52
508,26
496,38
483,32
(A)Find the regression equation?
(a) Predict the value of y for x=499.
Choose the correct answer below.
A.46
B.50
C.37
D.not meaningful
(b) Predict the value of y for x=648
Choose the correct answer below.
A.46
B.55
C.37
D. not meaningful
(c) Predict the value of y for x=810
Choose the correct answer below.
A.46
B.50
C.55
D.not meaningful
(d) Predict the value of y for x=724
Choose the correct answer below.
A.37
B.55
C.50
D.not meaningful
Explanation / Answer
a)
Using technology, we get
slope = 0.059499243
intercept = 7.400846365
Thus, the regression line is
y^ = 0.059499243x + 7.400846365
*****************
b)
Plugging in x = 499 in the equation above:
Thus, if x = 499
Then
y^ = 37.0909685 = 37 [answer]
*********************
c)
Thus, if x = 648
Then
y^ = 45.95635571 = 46 [answer]
********************
d)
As 810 is not within the range of values here, it is
D. NOT MEANINGFUL.
********************
e)
Thus, if x = 724
Then
y^ = 50.47829817 = 50 [answer]
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