Question 13.55

satfatreg

55. Saturated Fat and Calories. The table contains the calories and saturated fat in a sample of 10 food items.

  1. Construct a 90% confidence interval for the slope of the regression line, for the regression of calories on saturated fat.
  2. Using your confidence interval, conclude whether a linear relationship exists between calories and saturated fat, with level of significance .

Food item Calories Grams of
saturated fat
Chocolate bar (1.45 oz) 215.66 6.9618
Meat & veggie pizza, big
slice (1/8 lg pizza)		 363.81 5.6472
New England clam chowder
(cup)		 148.80 1.8600
Baked chicken drumstick (no
skin, medium size)		 75.24 0.6424
Curly fries, deep-fried
(4 ounces)		 276.21 3.1752
Wheat bagel (large) 374.66 0.2751
Chicken curry (cup) 146.32 1.5930
Cake doughnut hole (one) 58.94 0.5068
Rye bread (slice) 67.34 0.1638
Raisin Bran cereal (cup) 194.59 0.3355
Table 13.28: Source: Food-A-Pedia.

13.1.55

(a) (–6.647, 49.817) (b) 0 lies in the interval, so we do not reject .