Find the equation of the regression line for the given data. Then construct a sc
ID: 3377351 • 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. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.
xCalories, x
150
180
120
130
90
190
Sodium, y
410
460
350
380
250
520
(A)Find the regression equation.?
(Round to three decimal places as needed.)
(a) Predict the value of y for x=170
Choose the correct answer below.
A.168.633
B.459.633
C.386.883
D.not meaningful
(b) Predict the value of y for x=100
Choose the correct answer below.
A. 289.883
B.168.633
C. 386.883
D.not meaningful
(c) Predict the value of y for x=140
Choose the correct answer below.
A.386.883
B.289.883
C.459.633
D.not meaningful
(d) Predict the value of y for x=50
Choose the correct answer below.
A.459.633
B. 289.883
C.168.633
D.not meaningful
xCalories, x
150
180
120
130
90
190
(a) x=170calories (b) x=100
calories
Sodium, y
410
460
350
380
250
520
(c)x=140calories (d) x=50
calories
Explanation / Answer
Using technology, we get
slope = 2.425233645
intercept = 47.38317757
Thus, the regression line is
y^ = 2.425x + 47.383 [ANSWER]
*****************************
a)
Thus, if x = 170
Then
y^ = 459.633 [answer]
**********************
b)
Thus, if x = 100
Then
y^ = 289.883 [answer]
*********************
c)
Thus, if x = 140
Then
y^ = 386.883 [answer]
********
d)
As x = 50 is not within the range of x values in your sample,
OPTION D: NOT MEANINGFUL.
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