Hat is the slope of the linear relationship shown in this table of values?
1 answer:
By using any two of the points in the table, we will see that the slope is -2.
<h3>How to get the slope for the linear relationship?</h3>
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
Then the slope of the line is -2.
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Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Age(x)
7
8
5
8
8
7
7
7
9
8
5
8
6
5
8
Height (Y)
47.3
48.8
41.3
50.4
51
47.1
46.9
48
51.2
51.2
40.3
48.9
45.2
41.9
49.6
The estimated regression equation:
ŷ = 2.73953X + 27.91395
Where ;
X = independent variable
ŷ = predicted or dependent variable
27.91395 = intercept
C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:
Using the online pearson correlation Coefficient calculator :
The correlation Coefficient is 0.9696.
which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.
Answer:
The correct option is B.
Step-by-step explanation:
It is given that the correlation coefficient between two variables is -0.95.
Correlation coefficient between two variables is denotes by ρ. The value of ρ is leis between -1 to 1.
If , then it represent perfect negative correlation.
If , then it represent perfect positive correlation.
If , then it represent no relationship between the variables.
Since the -0.95 is near to the value -1, therefore we can say that there is a strong negative association between the variables. Option B is correct.