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 180 470 130 350 3 120 370 260 190 540 (a) x = 160 calories (c) x 140 calories (b)x- 90 calories (d) x = 220 calories 80 150 420 alories, X um Find tne regression equation iomal blaces as needed) (Round to three decimal places as needed.) Choose the correct graph below A. B. O C. 200 200 Calories (a) Predict the value of y for x = 160" Choose the correct answer below. O A. 444.771 ( B. 397.731 O C. 585.891 OD. not meaningful (b) Predict the value of y forx-90. Choose the correct answer below. OA. 397.731 B. 280.131 O C. 585.891 O D. not meaningful

Explanation / Answer

From the given output

Equation is y = 2.352x+68.451

Correct graph is option D

a) For x = 160

y = 2.352*160+68.451 = 444.771

Option A is correct

b) For x = 90

y = 2.352*90+68.451 = 280.13

Option B is correct

c) For x = 140

y = 2.352*140+68.451 = 397.731

Option B is correct

d) For x = 160

Not meaningful because it is outside the range

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 68.451 36.486 1.876 0.134 -32.851 169.7525662 X Variable 1 2.352 0.249 9.442 0.001 1.660 3.043790385

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