Answer: -95.78. Step-by-step explanation: The researcher classified the weekly party attendance as the explanatory variable, denoted as variable x in the regression equation, whereas the count of daily text messages sent, constitutes variable y. After formulating the linear regression equation, the researcher discovered that an estimated value for the actual 'y' could be represented by the resulting line. It should be noted that, as it’s an estimate, it’s not anticipated to align precisely with the actual value of 'y'. Hence, we define the residual for each x value as the difference between the actual and the estimated 'y' values. For the recorded 'x' value of 2 (the student attending 2 parties), the actual 'y' value is 20 (the student sent 20 text messages per day). According to the regression line, the approximated 'y' value would be derived.
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.
Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.
Examples include: 31.51, 31.52, 31.568, 31.599
I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20
The average will increase by 5 points, therefore, option c is correct!
Response:
Step-by-step explanation:
Shift the decimal points in both the divisor and the dividend.
Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.
In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.
Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.
Align each digit in the quotient directly over the last digit of the dividend utilized in that step.
