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	160	170	120	120	90	180		​(a) xequals=180 calories	​(b) xequals=100 calories
​Sodium, y	415	465	330	360	290	550		​(c) xequals=150 calories	​(d) xequals=50 calories

Find the regression equation.

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

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

(a) Predict the value of y for

xequals=180.

Choose the correct answer below.

A.

427.455

B.

504.645

C.

170.155

D.

not meaningful

​(b) Predict the value of y for

xequals=100.

Choose the correct answer below.

A.

298.805

B.

170.155

C.

427.455

D.

not meaningful

​(c) Predict the value of y for

xequals=150.

Choose the correct answer below.

A.

504.645

B.

427.455

C.

298.805

D.

not meaningful

​(d) Predict the value of y for

xequals=50.

Choose the correct answer below.

A.

298.805

B.

504.645

C.

170.155

D.

not meaningful

Answer 1

a)

predicted val=41.505+180*2.573=

504.645

b)

predicted val=41.505+100*2.573=

298.805

c)

predicted val=41.505+150*2.573=

427.455

d)

not meaningful