3 cups of flour and 2 cups of water . What is the ratio of flour to water

Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The li

HACTEHA [7]

Answer:

$R^2 = r^2 = 0.445^2= 0.198$

B. The coefficient of determination is 0.1980, 19.8% of the variation is explained by the linear correlation, and 80.2% is explained by other factors.

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

On this case we got that r =0.445

The determinaton coefficient is just:

$R^2 = r^2 = 0.445^2= 0.198$

And we can put it on % and we got 19.8%. And represent the variation explained by a linear model. The best option on this case would be:

B. The coefficient of determination is 0.1980, 19.8% of the variation is explained by the linear correlation, and 80.2% is explained by other factors.

Since the explained variation is 19.8% and the remain 100-19.8= 80.2% is explained by other factors.

6 0

2 years ago

Is the line through points P(2, –5) and Q(–5, –1) parallel to the line through points R(5, 4) and S(–2, 5)? Explain.

Irina-Kira [14]

Answer:

the answer is No

Step-by-step explanation:

Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.

Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7

3 0

3 years ago

You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what

Paladinen [302]

The yield per acre will be given by:
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre

8 0

3 years ago

Read 2 more answers

Katrina owns a 9-acre farm. Last month, she bought her neighbor’s adjoining 8-acre farm. How large is Katrina’s farm now?

blondinia [14]

Answer:

17 acres

Step-by-step explanation:

9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.

3 0

3 years ago

The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?