Answer:the hardest questiom
Step-by-step explanation:
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
y-intercept is (0, -4)
x-intercept is (-5, 0)
Step-by-step explanation:
Remember the x-intercept and the y-intercept are the points on the graph where the line crosses the x-axis and the y-axis respectively.
We can find the x intercept and the y intercept a couple of ways. One way is to graph the line, which I will do later. The other way is to do a little math.
The equation of a line in y-intercept form is
where b = the y-intercept
In our equation above and solving for y we get the y-intercept is -4
Doing more algebra and solving for x we get the x intercept is negative 5.
Answer:25%
Step-by-step explanation: you find how many pieces there are than you find how many shaded parts. You then put it in a fraction that time is by hundred. That should get you to you percentage. I hope this helped. I also this is the correct answer :)
