What factors does 28 and 44 have in common
1 answer:
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Answer:
(A)
(B) If a country increases its life expectancy, the happiness index will increase.
(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.
(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.
Step-by-step explanation:
A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).
The output of the regression analysis are as follows:
a = -0.762
b = 0.119
r² = 0.8649
r = 0.93
(A)
The equation of the Least Squares Regression line of the form y = _ + _ x is:
(B)
The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.
The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.
Thus, if a country increases its life expectancy, the happiness index will increase.
(C)
Compute the value of y for x = x + 3.5 as follows:
Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.
(D)
Compute the value of y for x = 67 as follows:
Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.
Answer: y-1=6(x+7)
Step-by-step explanation:
The formula for point-slope form is . Since we are given the point and slope, we can directly plug them in.
[distribute by -1]
Now, we know that the point-slope form is y-1=6(x+7).
Hello!
As the figure is a rectangle, AE ≅ EC.
AE = x + 11
EC = 6x + 1
Set the two equal to each other:
x + 11 = 6x + 1
Subtract x from both sides:
11 = 5x + 1
Subtract 1 from both sides:
10 = 5x
Divide both sides by 5:
10/5 = 5x/5
x = 2.