All categories

3 years ago

Please help !!!!

Mathematics

2 answers:

aalyn [17]3 years ago

6 0

A: The slope represents the amount of pay per hour and the amount of years worked.
As the number of years increases the amount of pay increases. The independent variable is the amount of years worked. The dependant variable is the amount of pay per hour.
This gives a positive correlation.
Y intercept - 5,11 x = 5 y =11

B: I don't know sorry

Gennadij [26K]3 years ago

6 0

Answer:

A. The slope of the "trend line" or "line of best fit" indicates the relationship between the number of years worked and the hourly wage. The slope is positive and therefore there is a positive correlation between the two variables: years and hourly wage. One could infer that the number of years worked is the independent variable and the pay per hour is the dependent variable meaing that the number of years afect the hourly wage in a positive way. The y-intercept shows the minimum pay per hour when a person has no experience.

B. The y-intercept of the trend line or line of best fit represents the pay per hour when a person has no working experience. The y-intercept is given by the ordered pair (0, y). Where the x-axis represents the independent variable and the y-axis represents the dependent variable.

Step-by-step explanation:

A "trend line" or "line of best fit" is a line that is drawn and contains at least two points of the scatter plot to help one analyze if there is a trend or correlation between two variables.

The slope shows the inclination of that given line. If the slope is positive then there could be a positive correlation and if it's negative then there could be a negative correlation.

A positive or negative correlation reveals the relationship that exists between two variables. A positive correlation indicates that as one variable increases so does the other variable. In this case, as a person has more experience they tend to have a higher hourly wage.

The independent variable (x) is the variable that is changed or altered.

The dependent variable (y) is the variable that changes as a result of the changes in x.

The x-axis is the horizontal line of the scatter plot and often denotates the independent variable. (number of years)

The y-axis is the vertical line of the scatter plot and often denotates the dependent variable. (pay per hour)

The y-intercept is the pay per hour for a person that has no work experience.

You might be interested in

Can anyone help with this quiz???

makvit [3.9K]

The answer is quadrant 2!!!

8 0

3 years ago

Read 2 more answers

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

3 years ago

Read 2 more answers

When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia

Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0

3 years ago

Help me, please Which statement is true about the following pair of rectangles?

miv72 [106K]