Question

The caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals are provided
in the table below:
Calories,
140
200
160
170
170
190
190
210
190 170
160
X
Sugar, y 6
19
6
19
10
17
13
18
19
10
10
Using the least squares regression line, predict the sugar content for a high fiber cereal with 150
calories. Record your answer to 2 decimal places.

Answer 1

Answer:

8

Step-by-step explanation:

Given the data:

X :

140

200

160

170

170

190

190

210

190

160

170

Y :

6

19

6

19

10

17

13

18

19

10

10

Using a linear regression calculator, we obtain the model :

y = 0.20409X - 22.81681

y = sugar content

x = calories

Slope = 0.20409

Intercept = 22.81681

Sugar content, x for y = 150

y = 0.20409(150) - 22.81681

y = 7.79669

Sugar content = 8 (nearest whole number)