Find the equation of the regression line for the given data. Then construct a sc

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. X = 17.0 calories x = 100 calories x = 40 calories x = 220 calories Find the regression equation. Y = ___ x + (___) (Round to three decimal places as needed.) choose the correct graph below. Predict the value of y for x = 170. Choose the correct answer below 401.714 462.074 562.674 not meaningful Predict the value of y for x = 100. Choose the correct answer below. 401.714 562.674 321.234 not meaning full Predict the value of y for x = 140. Choose the correct answer below. 321.234 401.714 462.074 not meaningful (d) Predict the value of y for x 220. Choose the correct answer below. 462.074 562.674 321.234 not meaningful

Explanation / Answer

Data:

x

y

150

410

180

460

120

330

120

370

70

280

190

540

At first we put the data in excel. Then we go to Data where we find Data Analysis. We select the y values and x values; we click on OK then we get the desired regression output here.

Regression Statistics

Multiple R

0.959126869

R Square

0.919924351

Adjusted R Square

0.899905438

Standard Error

29.50405123

Observations

6

ANOVA

df

SS

MS

F

Significance F

Regression

1

40001.37718

40001.38

45.95276

0.002471778

Residual

4

3481.956155

870.489

Total

5

43483.33333

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

120.034

42.78460566

2.805535

0.048537

1.244617865

238.822836

X Variable 1

2.012

0.296776789

6.778847

0.002472

1.187819921

2.83578885

Regression Equation.

y^ = 2.012x + 120.034

Graph: (B)

Predict the value of y for x =170

=(2.012*170)+120.034

= 462.074

( a ) Answer: (B) 462.074

Predict the value of y for x =100

=(2.012*100)+120.034

= 321.234

( b ) Answer: (C) 321.234

Predict the value of y for x =140

=(2.012*140)+120.034

= 401.174

( c ) Answer: (B) 401.174

Predict the value of y for x =220

=(2.012*220)+120.034

= 562.674

( d ) Answer: (B) 562.674

x

y

150

410

180

460

120

330

120

370

70

280

190

540

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