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Darya [45]
3 years ago
5

ashley calculates her salary (base and commission) for the year “y” using the model y= 0.2x + 25,000; where x represents her tot

al sales for the year. what is the meaning of the y-intercept in the model?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0

Answer:

The y-intercept in the model represents the base salary

Step-by-step explanation:

In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.

In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.

Substituting x with 0 in the regression model yields;

y = 0.2(0) + 25,000

y = 25,000

The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.

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What is the y-intercept of the function,represented by the table of values below?
Hitman42 [59]

Answer:

8

Step-by-step explanation:

So the y-intercept is not given by your table because there is no x that is listed as 0.

But don't fret; we can still find it.

Let's see if the function is linear by seeing if we have the same slope per two points in the table.

For the first pair ( the points (-2,16) and (1,4) ), x increased by 3 and the y decreased by 12 so the slope there is -12/3=-4.

Now looking at the next pair ( the points (1,4) and (2,0) ), x increased by 1 while y decreased by 4 so the slope is -4/1=-4.

So the function appears to be linear.

So the slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

We already found the slope from earlier which is m=-4.

So the equation so far is y=-4x+b.

Now to find b, the y-intercept, we need to use a point (x,y) on the line along with y=-4x+b.

Let's see my favorite on the list of points is (2,0).

y=-4x+b with (x,y)=(2,0)

0=-4(2)+b

0=-8+b

8=b

So the y-intercept is 8.

8 0
3 years ago
Read 2 more answers
Please help and get these points
Masja [62]

Answer:

y = 15x

Step-by-step explanation:

The biggest giveaway here is the other answers have<em> </em>+ a whole number at the end of the equation. We would see this + as a y-intercept on the graph.

Since our line had no y-intercept and starts from zero, y =15x can be used to represent the graph shown

Another way to know this is to look at the points marked on the line. There is a point at (2, 30). By plugging these co-ordinated into y = 15x we get 30 = 30, which makes sense

6 0
3 years ago
Read 2 more answers
Decide whether the change is an increase or a decrease, and find the percent change. Original number = 35; New number = 16.... P
Elodia [21]

Answer: 60 decrease or 150 decrease

Step-by-step explanation:

3 0
3 years ago
You conducted a regression analysis between Amount of Wealth in society (x) and the Stock Market Value (y) and the study yielded
Aliun [14]

Answer:

E IS THE CORRECT ANSWER

The R-squared is 0.64 and it means that the dependent value explains 64% of the independent value in the simple regression analysis

Step-by-step explanation:

R-Squared value is a very important indicator in a regression analysis.

What does it measure?

It measures how close to the line of best fit are the data points. How good the fitted line is can be indicated by the value of the r-squared.

The maximum value it can take is 1 and at this value, there is a direct and complete relationship between the independent variable x and the dependent variable y. The value 1 represents an 100% relationship between both parties.

The r-squared has a value of between 0 and 100%. The closer to 100, the better the model while the closer to 100, the more faulty the model is. In fact, a value of 0 indicates no relationship at all between the dependent and the independent variable.

With an R-squared value of 0.64, the regression model works above average to explain that the dependent variable explains 64% of the independent value in the simple regression analysis.

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3 years ago
HELP PLEASE!!!! WILL MARK U BRAINIEST!!!!
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Answer:

1 is congruent 2 is neither and 3 is similar

Step-by-step explanation:

mark me as brainliest

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