Answer: D
Step-by-step explanation:
<u>Answer- </u>D. There is a strong negative association between the variables
<u>Solution-</u>
Properties of Correlation Coefficient
1- Its value ranges between -1 and 1.
2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.
3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.
4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)
So there is a strong negative association between the variables.
Answer:
Step-by-step explanation:
Given is the piecewise function.
The first part is increasing function y = x + 6, when x ≤ -3
The second part is decreasing function y = -x when x > -3
The above is reflection in the first graph (top one)
Answer:
The rate of change of temperature is 1.29 degree Celsius per second.
Step-by-step explanation:
We are given the following information in the question:
The temperature at a point (x, y) is T(x, y), measured in degrees Celsius where x and y are measured in centimeters.
We have to find the rate at which the temperature is rising on the bug's path after 14 seconds.
At t = 14 seconds, we have,
To find rate of change of temperature, we differentiate,
Thus, the rate of change of temperature is 1.29 degree Celsius per second.
