Find the equation of the regression line for the given data

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

Solution

Scatter plot is as follows:

As this shows a linear trend find slope and intercept.

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a)