Question

1. Find the values of y at x=21 and x=28 for the following data
X: 20
26 29
y: 0,3420 0.3907 0.4384 0.4848
23​

Answer 1

Concept

Discrete series is that series which represents discrete variables showing  exact values of various items within the series. These contain two columns one is X and Y. For  each level of value of X it has different value of Y.

Given

X=20,26,29,23

Y=03420,0.3907,0.4384,0.4848.

To find

The values of y at x=21, x=28.

Explanation

We have to rearrange the values of X and Y  in ascending order.

X=20,23,26,29

Y=0.3420,0.4848,0.3907,0.4384

Difference in values from 20 to 23

=0.4848-0.3420

=0.1428

means 1 unit increases 0.1428/3=0.0476

Value of Y at X=21=0.3420+0.0476=0.3896

From26 to 29

Difference=0.4384-0.3907=0.0477

means 1 value of X increases the worth of Y =0.0477/3=0.0159

Value of Y at X=28

=0.4384-0.0159=0.4225

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Answer 2

Answer:

If a quantitative variable is normally acquired by measurement or counting, it might be either continuous or categorical in pure mathematics. The variables is continuous in that range if it can take on any two specific real values and all real values between those them.

step-by-step explanation:

A variable whose value is determined by counting is referred to as a discrete variable. instances: the number of pupils in attendance. how many red pebbles are in the container. amount of head if 3 coin are flipped. Counting discrete variables takes a certain amount of time. You could, for instance, count the coins in your pocket. The money in your checking account is countable. You might also tally up the sums in each person's bank accounts.

The variables of X and Y must be rearranged in ascending order.

$X = 20,23,26,29\\Y=0.3420,0.4848,0.3907,0.4384$

Difference between 20 and 23

$0.4848-0.3420\\0.1428$

signifies that one unit rises

$=\frac{0.1428}{3}$

$=0.0476$

Value of Y at X=21

$=0.3420+0.0476\\=0.3896$

From26 to 29

Difference

$=0.4384-0.3907$

$=0.0477$

signifies that increasing the value by 1 of X of

$Y=\frac{0.0477}{3}$

$=0.0159$

Value of Y at X=28

$=0.4384-0.0159\\=0.4225$

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