N - 4 = 3n + 6 Yikesss
2 answers:
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Answer:
a)
b) The accountant should not question the voucher as the request is much higher than expected.
c) We can add the following variables
d) The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%
A. Type of travel (air/car)
B. Gender of the executive (male/female)
The last option is not too important since we are analyzing the traveling executives not the type of business
Step-by-step explanation:
Part a
For this case we have the multiple regression model given by:
Where represent the number of days on the road and
the distance traveled in miles.
And we want to find the expected amount from a 340-mile trip that took her out of town for 5 days, so we just need to replace x1= 5 and x2=340 and we got:
Part b
The expected value taking in count that x1 = 5 and y = 340 is:
And the difference from the obtained value is : 685-441.50=243.5
So then the correct answer would be:
The accountant should not question the voucher as the request is much higher than expected.
Part c
We can add the following variables
A. Type of travel (air/car)
B. Gender of the executive (male/female)
The last option is not too important since we are analyzing the traveling executives not the type of business
Part d
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 coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".
The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%
Answer:
1. 10 square yards
2. $9.10
3. 36 girls
4. 20 cherries
5. 159 bracelets
Step-by-step explanation:
1.
The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).
The middle part is taken out (this is a rectangle).
View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:
Area = Area of Whole Square - Area of Middle Rectangle Taken Out
Lets calculate:
Area of Whole Square:
side * side = 4 * 4 = 16
Now,
Area of Middle Rectangle Taken Out:
Length * Width
The length is given as 3
The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2
So, area = 3 * 2 = 6
Area of figure = 16 - 6 = 10 square yards
2.
We have to find 20% of the bill.
The bill was 45.50 and we have to find 20% of 45.50.
We first convert percentage to decimal by dividing by 100:
20% = 20/100 = 0.20
Now we multiply this decimal with the bill to get our desired answer:
0.20 * 45.50 = $9.10
The tip is $9.10
3.
The ratio of boys (b) to girls (g) would be 2 is to 3.
There are 24 boys.
We can set up a ratio (fraction) with boys on top and girls on bottom.
Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:
To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:
There are 36 girls in sixth grade
4.
For every "9" lemon, there are "4" cherries.
There are 45 lemons
If we think of "9" lemons as a "box", how many boxes of lemons are there?
45/9 = 5
Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:
4 * 5 = 20 cherries
We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:
See, we have the same answer, 20 cherries!
5.
Number sold total = 14 + 27 + 45 = 86
She still has 73 in her stock
So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:
73 + 86 = 159 bracelets
Tia started with 159 bracelets