The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.

Mathematics

2 answers:

AnnZ [12.3K]1 month ago

7 0

According to the bar graph displayed, the variation in monthly electric charges seems significant due to the scaling applied.

When scaling, narrower intervals on the axis result in a more pronounced graph, which emphasizes the differences among the graph's components.

On the other hand, wider axis intervals result in a smaller graph with diminished emphasis on the differences among its components.

Therefore, to lessen the perceived difference in monthly electric costs, we can expand the intervals on the y-axis.For instance, 'The y-axis could be adjusted to use intervals of 20.'

Inessa [12.5K]1 month ago

5 0

The correct choice is A) The scale on the y-axis could change to range from 0–150.

Because the y-axis begins at 95, it gives the impression that the change is substantial, but in reality, it isn't.

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The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1

zzz [12365]

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 $k$ independent variables and $j=1,\dots,j$ individuals, we can articulate various formulas of variation: We also possess a characteristic identified as $SST=SS_{regression}+SS_{error}$ . The model's degrees of freedom in this circumstance is represented by $df_{model}=df_{regression}=k=2$ , with k =2 indicative of the variable count. The error's degrees of freedom is articulated by $df_{error}=N-k-1=30-2-1=27$ . The coefficient of determination in multiple regression is illustrated as: thus, the answer is b..42.

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1 month ago

to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat

lawyer [12517]

Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.

Step-by-step explanation:

Given: Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have

9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252

-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120

By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132

⇒ 33x = 132 ⇒ x = 4.

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2 months ago

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1 month ago

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1 month ago