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sweet-ann [11.9K]
3 years ago
8

Marks ratio is 3 tablespoons sugar to 2 tablespoons milk.Sharri is using 4 tablespoons of sugar to 3 tablespoons of milk.Eva is

using 9 tablespoons of sugar to 6 tablespoons of milk.Which girl's ratio is equivalent to Mark's?
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0
Eva because 3:2 = 9:6 because when they multiply by 3 on each ratio
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Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

a)

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

b)

Beginning salary=$22000

As

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

c)

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

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