Answer:
A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Step-by-step explanation:
John is predicting test scores of students on the basis of their home work averages and he get the following regression equation
y=0.2 x +82.
Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.
The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.
We are given that correlation coefficient r= 0.82.
coefficient of determination R²=0.82²=0.6724 or 67.24%.
Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.
Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Answer:
That day 51 child tikets were sold
Step-by-step explanation:
To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money
x = child tickets
y = adult tickets
x + y = 132
x * $5.20 + y * $9.00 = $994.20
First we have to solve for the x in the first equation
x + y = 132
x = 132 - y
Now we replace the x with (132 - y) in the second equation
x * $5.20 + y * $9.00 = $994.20
(132 - y) * 5.20 + y * 9.00 = 994.20
686.4 - 5.2y + 9y = 994.2
-5.2y + 9y = 994.2 - 686.4
3.8y = 307.8
y = 307.8/3.8
y = 81
We replace y with its value in the first equation
x = 132 - y
x = 132 - 81
x = 51
That day 51 child tikets were sold
Do u have answers to choice from
Answer:
Below.
Step-by-step explanation:
(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.
(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.
The actual size of the painting is 39 units by 51 units
