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.

font size decreased by 1 font size increased by 1 Calories comma xCalories, x	150	180	120	120	90	190		​(a) xequals=170 calories	​(b) xequals=100 calories
​Sodium, y	420	470	340	380	280	530		​(c) xequals=140 calories	​(d) xequals=210 calories

Find the regression equation.

ModifyingAbove y with caretyequals=nothingxplus+​(nothing​)

​(Round to three decimal places as​ needed.)

Answer 1

a)

predicted val=80.245+170*2.281=468.0

b)

predicted val=80.245+100*2.281=

308.3

c)

predicted val=80.245+140*2.281=399.6

d)

not meaningful, since 210 falls outside the range of x value