That would just be 5 inches
The strongest linear relationship of correlation coefficient is a -1 or 1.
According to the statement
we have given that the cases and the out of these we have to ensure that which case show the correlation coefficients is indicative of the strongest relationship between the two variables
So, For this purpose
The relationship of correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables.
And according to the given cases
The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.
The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
So, The strongest linear relationship of correlation coefficient is a -1 or 1.
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Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
