7. A restaurant owner wants to see if there is a relationship between the amount of sugar in some food items on her menu and how popular the items are.

She creates a scatter plot to show the relationship between amount of sugar in menu

items and the number of orders for those items. The correlation coefficient for the

line of best fit is 0.58.

a. Are the two variables correlated? Explain your reasoning.

b. Does either of the variables cause the other to change? Explain your reasoning.

a) Yes, the two variables correlated

b) Yes, variation of sugar changes the number of orders for item containing sugar

Step-by-step explanation:

a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7

b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

assuming "divided his salary into two" means in half,

he has 215 remaining, plus 200 he originally had before buying a watch

he originally has $415 in his personal account

if this is half the salary, 415 times 2 is $830

his salary would have been $830.