annapittbull12
15.04.2020 •
Mathematics
4. Data are collected on the amount of fat (in grams) and calories in the french
fry orders at nine fast food restaurants. The least-squares regression line for the
data is û = 274.34 + 9.55x, where ŷ is the predicted number of calories and 2
is grams of fat. Which of the following is the correct interpretation of the slope
of the least-squares regression line?
(A) The calories increase by 9.55, on average.
(B) For every increase in fat, the calories increase as well.
(C) Every increase of 1 gram of fat causes an increase of 9.55 calories.
(D) For every increase of 1 gram of fat, the predicted calories increase by 9.55.
(E) For every increase of 1 calorie, the predicted grams of fat increase by 9.55.
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Ответ:
Option D
Step-by-step explanation:
The general equation of the line is y = mx + c
Where m is the slope and c is the initial value
Given: y = 274.34 + 9.55x
where y is the predicted number of calories and x is grams of fat
So, the slope of the line is 9.55 and the initial calories = 274.34
So, at x = 0 , y = 274.34
And at x = 1 gram , y = 274.34 + 9.55
And at x = 2 gram , y = 274.34 + 9.55 * 2
Which mean for every increase of 1 gram of fat, the predicted calories increase by 9.55.
So, the answer is option D
Ответ:
diameter = 3.31 mm (3 sf)
Step-by-step explanation:
Diameter of a circle (d) = 2r (where r is the radius)Circumference of a circle = 2r (where r is the radius)⇒ circumference = d
Given:
circumference = 10.4 mm⇒ d = 10.4
⇒ d = 10.4 ÷ = 3.31 mm (3 sf)