Answer:
Step-by-step explanation:
a)General least square regression line is ,
Where,a=intercept. b= slope
To get line just find values of a and b.
Use Excel to find values.
First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.
Then for value of a use functufuas ,
=INTERCEPT(A1:A5,B1:B5)
Then hit enter ,therefore a=20.4595
For b use function as. =SLOPE(A1:A5,B1:B5)
Then hit enter.therefore b=0.3738
Therefore equation of least square regression line is
Y=20.4595+(0.3738*x)
b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.
Y=20.4595+(0.3738+252)
Y=20.4595+94.1976
Y=114.6571
Conclusion: height will be 114.6571 inches when age change by 1 unit.
The probability that the result that is gotten will be a multiple of 3 and 2 will be 2/15.
<h3>How to calculate the probability</h3>
From the information, the spinner has 15 equal areas, numbered 1 through 15.
The multiple of 3 and a multiple of 2 among the numbers will be 6 and 15. Therefore, the probability will be two out of fifteen. This will be 2/15.
Learn more about multiples on:
brainly.com/question/1067440
The correct answer is C
Hope this helped!
Answer:
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.[1][2] The symbol "=" is called an "equals sign". Two objects that are not equal are said to be distinct.
Step-by-step explanation:
For example:
{\displaystyle x=y}x=y means that x and y denote the same object.[3]
The identity {\displaystyle (x+1)^{2}=x^{2}+2x+1}{\displaystyle (x+1)^{2}=x^{2}+2x+1} means that if x is any number, then the two expressions have the same value. This may also be interpreted as saying that the two sides of the equals sign represent the same function.
{\displaystyle \{x\mid P(x)\}=\{x\mid Q(x)\}}{\displaystyle \{x\mid P(x)\}=\{x\mid Q(x)\}} if and only if {\displaystyle P(x)\Leftrightarrow Q(x).}{\displaystyle P(x)\Leftrightarrow Q(x).} This assertion, which uses set-builder notation, means that if the elements satisfying the property {\displaystyle P(x)}P(x) are the same as the elements satisfying {\displaystyle Q(x),}{\displaystyle Q(x),} then the two uses of the set-builder notation define the same set. This property is often expressed as "two sets that have the same elements are equal." It is one of the usual axioms of set theory, called axiom of extensionality.[4]
