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

160160

180180

130130

130130

8080

190190

Copy to Clipboard + Open in Excel +

(a)

xequals=170170

calories

(b)

xequals=9090

calories

Sodium, y

420420

470470

330330

360360

260260

530530

(c)

xequals=120120

calories

(d)

xequals=200200

calories

Find the regression equation.

ModifyingAbove y with caretyequals=nothing xplus+(nothing )

(Round to three decimal places as needed.)

Choose the correct graph below.

A.

02000560CaloriesSodium(mg)

Edit Coordinates... (0,0)

A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 310 units above the origin; 100 units to the right of and 290 units above the origin; 140 units to the right of and 380 units above the origin; 140 units to the right of and 410 units above the origin; 180 units to the right of and 480 units above the origin; 90 units to the right of and 310 units above the origin. A line rises from left to right and passes through the points (50, 175) and (100, 294). All coordinates are approximate.

B.

02000560CaloriesSodium(mg)

Edit Coordinates... (0,0)

A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 10 units to the right of and 230 units above the origin; 30 units to the right of and 100 units above the origin; 40 units to the right of and 320 units above the origin; 40 units to the right of and 270 units above the origin; 60 units to the right of and 160 units above the origin; 70 units to the right of and 230 units above the origin. A line falls from left to right and passes through the points (0, 201) and (85, 0). All coordinates are approximate.

C.

02000560CaloriesSodium(mg)

Edit Coordinates... (0,0)

A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 60 units to the right of and 160 units above the origin; 110 units to the right of and 80 units above the origin; 110 units to the right of and 260 units above the origin; 130 units to the right of and 320 units above the origin; 140 units to the right of and 370 units above the origin; 150 units to the right of and 430 units above the origin. A line falls from left to right and passes through the points (0, 401) and (169, 0). All coordinates are approximate.

D.

02000560CaloriesSodium(mg)

Edit Coordinates... (0,0)

A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 80 units to the right of and 260 units above the origin; 130 units to the right of and 330 units above the origin; 130 units to the right of and 360 units above the origin; 160 units to the right of and 420 units above the origin; 180 units to the right of and 470 units above the origin; 190 units to the right of and 530 units above the origin. A line rises from left to right and passes through the points (50, 169) and (100, 288). All coordinates are approximate.

(a) Predict the value of y for

xequals=170170.

Choose the correct answer below.

A.

454.316454.316

B.

525.536525.536

C.

335.616335.616

D.

not meaningful

(b) Predict the value of y for

xequals=9090.

Choose the correct answer below.

A.

335.616335.616

B.

525.536525.536

C.

264.396264.396

D.

not meaningful

(c) Predict the value of y for

xequals=120120.

Choose the correct answer below.

A.

454.316454.316

B.

264.396264.396

C.

335.616335.616

D.

not meaningful

(d) Predict the value of y for

xequals=200200.

Choose the correct answer below.

A.

264.396264.396

B.

454.316454.316

C.

525.536525.536

D.

not meaningful

More

Less

Click to select your answer(s).

0%

SCORE: 0 REMAINING: 10/10