The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

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Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0

3 years ago

Read 2 more answers

I need help with this problem

Anarel [89]

The midpoint lines are half the opposite side length.

Line DE is given as 7 , So Line F = 7 x 2 = 14

Line EF is given as 12, so Line D = 12 x 2 = 24

Line DF is given as 16, so line E = 16 x 2 = 32

The perimeter is the sum of the 3 sides:

Perimeter = 14 + 24 + 32 = 70

6 0

4 years ago

There are four candidates (A. B, C, and D) and 115 voters. When the points were tallied (using 4 points for frst, 3 points for s

aivan3 [116]

Answer:

D had 310 points.

The final ranking is: B,A,D,C

Step-by-step explanation:

The problems states that:

There are 115 votes.

Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.

Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:

$A + B + C + D = 1150$

We already know that:

A had 320 points, B had 330 points, and C had 190 points.

So:

$A + B + C + D = 1150$

$320 + 330 + 190 + D = 1150$

$D = 310$

B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C

3 0

3 years ago