Answer:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Step-by-step explanation:
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
And the model obtained for this case is:
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.
And in order to calculate the correlation coefficient we can use this formula:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Answer: 3/5
Step-by-step explanation: Notice that the fractions that we are comparing in this problem have different denominators. When fractions have different denominators, they are called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 3 and 5 will be the least common multiple of 3 and 5 or 15.
To get a 15 in the denominator of 1/3, we multiply the numerator and the denominator by 5 which gives us 5/15.
To get a 15 in the denominator of 3/5, we multiply the numerator and the denominator by 3 which gives us 9/15.
Notice that we now have like fractions since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
9/15 - 5/15
Since 9 is greater than 5, 9/15 is greater than 5/15.
This means that 3/5 is bigger than 1/3.
It c) because it 56 out of 100
Since they reduced the markup price, or higher price, by 10%, the new markup price is 20% over the manufacturer price.