Answer:
There is a linear correlation between the chest size and weight
Proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 .
Step-by-step explanation:
Null Hypothesis:
= There is no linear correlation between the chest size and weight
Alternative Hypothesis :
=There is a linear correlation between the chest size and weight
The value of the linear correlation coefficient is r=0.882.
n = 8
Formula : 


Degree of freedom = n-1 = 8-1 = 7
α =0.05
so, p value is 2.365
t calculated > t critical
So, we reject the null hypothesis
So, There is a linear correlation between the chest size and weight
The proportion of the variation in weight can be explained by the linear relationship between weight and chest size = 
Hence proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 and There is a linear correlation between the chest size and weight
Answer:
x=10
Step-by-step explanation:
Rearrange to get p on one side
2.5=0.4p-0.15p
2.5=0.25p
Divide both sides by 0.25
2.5/0.25=x
x=10
I used scatter plot graph in the insert graph function of excel and added a trend line that shows the equation of the line of best fit and the r.
The line that can be applied in this function is linear with an equation of y = 3800.6x - 5223.6 and the regression is r² = 0.8925. The y intercept represents when the starting point of a line starts. It is a strong correlation since the value of r² that is equal to 0.8925 is close to 1. We can solve the value of the investment after 6 years using the equation above.
y = 3800.6x - 5223.6
y = 3800.6(6) - 5223.6
y = 17,580
Answer:
1/2
Step-by-step explanation:
There are three odd and three even numbers on the die which would make 3/6 and simplified it is 1/2.
Answer:
1. 160cm²
2. 176.25cm²
3. 33.75ft²
Step-by-step explanation:
Area triangle = (1/2)(base)(height)
1)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(8)(9))+2(0.5(8)(11))
=72+88=160cm²
2)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))
= 56.25 + 120 = 176.25cm²
3)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))
= 11.25+22.5 = 33.75ft²