Is there a relationship between the amount of sugar (in grams) and the number of calories in movie-theater candy? Here are the data from a sample of 12 types of candy:

a. Sketch a scatterplot of the data using sugar as the explanatory variable.

b. Use technology to calculate the equation of the least-squares regression line for predicting the number of calories based on the amount of sugar. Add the line to the scatterplot from part (a).

c. Explain why the line calculated in part (b) is called the “leastsquares” regression line.

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Name Sugar (g) Calories Butterfinger Minis 45 450 Junior Mints 107 570 M&M'S® 62 480 Milk Duds 44 370 Peanut M&M'S® 79 790 Raisinets 60 420 Reese's Pieces 61 580 Skittles 87 450 Sour Patch Kids 92 490 Swee Tarts 136 680 Twizzlers 59 460 Whoppers 48 350