51. Movie candy 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 sam- ple of 12 types of candy: Name Butterfinger Minis 45 450 Junior Mints 107 570 M&M'S Milk Duds Peanut M&M'S Raisinets Sugar " (g) Calories 62 44 480 370 79 790 60 420 Name Reese's Pieces Skittles Sour Patch Kids Sugar (g) Calories 61 580 87 450 92 SweeTarts 136 490 680 Twizzlers 59 460 Whoppers 48 350 (a) Sketch a scatterplot of the data using sugar as the explanatory variable. (b) Use technology to calculate the equation of the least i 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 "least-squares" regression line.

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51. Movie candy 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 sam-
ple of 12 types of candy:
Sugar
Name
Butterfinger
Minis
45
Junior Mints 107
M&M'S®
Milk Duds
Peanut
M&M'S
Raisinets
(g) Calories
450
570
62 480
370
79 790
60 420
Name
Reese's
Pieces
Skittles
Sour Patch
Kids
SweeTarts
Sugar
(g)
Calories
61 580
87 450
92
136
490
680
Twizzlers
59
460
Whoppers 48 350
(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).
(e) Explain why the line calculated in part (b) is called the
"least-squares" regression line.
Transcribed Image Text:51. Movie candy 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 sam- ple of 12 types of candy: Sugar Name Butterfinger Minis 45 Junior Mints 107 M&M'S® Milk Duds Peanut M&M'S Raisinets (g) Calories 450 570 62 480 370 79 790 60 420 Name Reese's Pieces Skittles Sour Patch Kids SweeTarts Sugar (g) Calories 61 580 87 450 92 136 490 680 Twizzlers 59 460 Whoppers 48 350 (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). (e) Explain why the line calculated in part (b) is called the "least-squares" regression line.
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