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 and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.

Calories, x   Sodium, y
160                   420
170                   470
120                   330
130   370
80                     250
180                   510

(a)x=150 calories

(b)x=100 calories

(c)x=140 calories

(d)x=200 calories

Explanation / Answer

Scatter plot is as follows:

As this shows a linear trend find slope and intercept.

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a)

X Y XY XX 160 420 67200 25600 170 470 79900 28900 120 330 39600 14400 130 370 48100 16900 80 250 20000 6400 180 510 91800 32400 840 2350 346600 124600 slope 2.514 Intercept 39.667

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