The table shows the number of calories in four meals and the cost of each meal. A 2-column table with 4 rows. The first column i
s labeled number of calories in the meal with entries 550; 1,250' 780; 650. The second column is labeled cost of the meal (in dollars) with entries 12, 11, 13, 10. Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation
2 answers:
Answer:
The correlation coefficient between the variables number of calories in four meals and the cost of each meal is weak negative correlation.
Step-by-step explanation:
The data for the number of calories in four meals and the cost of each meal is as follows:
Number of Calories Cost of Meals
550 12
1250 11
780 13
650 10
Use the Excel function "CORREL(array1,array2)" to compute the correlation coefficient between the variables number of calories in four meals and the cost of each meal.
The correlation coefficient between the variables number of calories in four meals and the cost of each meal is -0.13.
The correlation coefficient between 0.00 to ±0.30 is considered as weak correlation coefficient.
The correlation value of -0.13 lies in the range 0 to -0.30. This implies that the correlation coefficient between the variables number of calories in four meals and the cost of each meal is weak negative correlation.
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Given:
Vertices of ABCD are A(-4,4), (-2,2), C(-2,-1) and D(-4,1).
Vertices of A'B'C'D' are A'(3,-4), B'(5,-2), C'(5,1) and D'(3,-1).
To find:
The sequence of transformations that changes figure ABCD to figure A'B'C'D'.
Solution:
Part A:
The figure ABCD reflected across the x-axis, then
Using this rule, we get
Similarly, the other points are .
Then figure translated 7 units right to get A'B'C'D'.
Similarly, the other points are .
Therefore, the figure ABCD reflected across the x-axis and then translated 7 units right to get A'B'C'D'.
Part B:
Reflection and translation are rigid transformation, it means shape and size of figures remains same after reflection and translation.
Therefore, the two figures congruent.
