Thus, the most suitable answer is b..42.Step-by-step reasoning:Prior concepts include an explanation of Analysis of variance (ANOVA), which is employed to assess variances among group averages within a sample. The sum of squares constitutes the total squared variation where variation is defined as the disparity between each value and the grand mean. The correlation coefficient evaluates the strength of the correlation between two variable movements, noted as r, with values bounded between -1 and 1. In conducting multiple regression analysis, we seek to ascertain the relationship among multiple independent (predictor) variables and a dependent (criterion) variable.Solution:Assuming the presence of

independent variables and

individuals, we can articulate various formulas of variation: We also possess a characteristic identified as

. The model's degrees of freedom in this circumstance is represented by

, with k =2 indicative of the variable count. The error's degrees of freedom is articulated by

. The coefficient of determination in multiple regression is illustrated as: thus, the answer is b..42.
Answer: The loss percentage per gallon is 23.17%
Step-by-step explanation:Original price per gallon is $ 2.59
Discounted price per gallon is $ 1.99
Now, we will calculate the percentage loss per gallon, using the Direct Rule of Three as follows:
Price Percentage
2.59 100
1.99 x*****************************
2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
So the percentage loss = 100 - 76.83
The percentage loss is 23.17%
Answer:
Circle diameter = 1.6 Cm
Detailed explanation:
Information provided:
Distance from the first to the third coin = 3.2 cm
Question to solve:
What is the diameter of each coin?
Calculations:
Total number of circles = 3
According to the diagram, the space between the first and third coins measures 3.2 cm.
Thus,
Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle
Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle
Space = R + 2R + R
3.2 Cm = 4 R
Radius = 0.8 Cm
Diameter = 2 × radius
Diameter = 2 × 0.8
Diameter = 1.6 Cm