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 hotdogs are shown in the table. A.) x=170 calories B.) 90 calories C.) x = 120 calories D.) x = 60 calories

y(hat)=___x+(___) Round to 3 decimal places if needed.

calories, x 150 180 130 130 80 190 sodium , y 430 480 340 360 270 550

Explanation / Answer

Ans:

slope,b=(6*368000-860*2430)/(6*131200-860^2)=2.483

y-intercept,a=(2430-2.4832*860)/6=49.076

Regression eqn:

y'=2.483x+49.076

1 2 3 4 5 6 Total calories, x 150 180 130 130 80 190 860 sodium , y 430 480 340 360 270 550 2430 xy 64500 86400 44200 46800 21600 104500 368000 x^2 22500 32400 16900 16900 6400 36100 131200 y^2 184900 230400 115600 129600 72900 302500 1035900

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