we know that
The correlation coefficient is a number between -1 and +1 that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to 1
therefore
the answer is
r=1
Answer: See explanation
Step-by-step explanation:
We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:
= 5 × 4 + 2 + 2
= 20 + 2 + 2
= 24.
Since we have gotten a final answer of 24, the equation is solved.
Answer:
(a) 39,208
(b) 65%
Step-by-step explanation:
(a) The car loses 10% the first year and 15% the second year so that’s 35% lost in total after two years.
35% of 60,320 is 21,112
60,320 - 21,112 = 39,208
39,208 ÷ 60,320 = 0.65 (65%)
Answer:
74.86% probability that a component is at least 12 centimeters long.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Variance is 9.
The standard deviation is the square root of the variance.
So

Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
I think the answer for this question is the second one