At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks
2 answers:
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Answer:
d. y ˆ =269,000−8300x
Step-by-step explanation:
If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.
Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.
For equation b., when x = 10:
For equation d., when x = 10:
Therefore, the only possible answer is d. y ˆ =269,000−8300x
Answer:
a)Slope:
Intercept:
b)
And the determination coeffecient is
Step-by-step explanation:
Data given and definitions
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.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110,
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is