This is right...A is wrong.
1 answer:
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Answer:
Adrian would make $196000 in his 26th year working.
Step-by-step explanation:
Adrian salary in first year = $66,000
As Adrian is expected to get raises of $5,000 every year going forward.
Here is the sequence of Adrian's raises:
5,000, 10000, 15000, 20000, 25000 .....
As the common difference between consecutive terms is constant.
d = 10000 - 5,000 = 5,000 ⇒ d = 15000 - 10000 = 5,000
So, Adrian's raises is in Arithmetic sequence.
a₁ = 5,000
n = 26
Put n = 26 to get the total amount of salary raises in Adrian's 26th year.
Total raises amount after 26th year = $130000
Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.
So,
Total Salary after 26th year = initial salary + total raises of 26 years
= 66000 + 130000
= $196000
So, Adrian would make $196000 in his 26th year working.
<em>Keywords: arithmetic sequence, salary, raises, common difference</em>
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Answer:
For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:
For this case we assume that we want to find a linear regression model given by:
Where:
represent the estimated slope for the model
represent the estimated intercept for the model
And for any estimation of the dependent variable is given by this model.
The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:
So the best option for this case is:
d. residual
Step-by-step explanation:
For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:
For this case we assume that we want to find a linear regression model given by:
Where:
represent the estimated slope for the model
represent the estimated intercept for the model
And for any estimation of the dependent variable is given by this model.
The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:
So the best option for this case is:
d. residual
Answer:
Table 3 has a greater y intercept
Step-by-step explanation:
See attachment (1) & (2) for graph and tables
First, we have to determine the y intercept of the graph
The y intercept of any graph or table is the corresponding value of a point where
In the attached graph.
when
So:
Next, we determine the y intercept of each table.
Recall that: The y intercept of any graph or table is the corresponding value of a point where
For table 1:
For table 2:
For table 3:
By comparison, the y intercepts of tables (1) & (2) are less than the y intercept of the graph because: 3 and 2 are less than 4
However, the y intercept of table 3 is greater than the y intercept of the graph because 5 is greater than 4.
<em>Hence, table 3 has a greater y intercept</em>
