Answer:
380 divided by 20 is your answer
Step-by-step explanation:
Answer:
y=-1/3x+15
Step-by-step explanation:
You only need to know the y-intercept which is 15, if you drew an imaginary line along the middle of the dots it would go through 15 and not 12.
Answer:
b. S = 405, D = 0
Step-by-step explanation:
We have been given that profit for a particular product is calculated using the linear equation: 
. We are asked to choose the combinations of S and D that would yield a maximum profit.
To solve our given problem, we will substitute given values of S and D in the profit function one by one.
a. S = 0, D = 0
b. S = 405, D = 0
c. S = 0, D = 299
d. S = 182, D = 145
Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.
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.
