Question

The table shows the total number of posts made by the average registered user of a new social media app in the first week

Answer 1

Linear equations are used to represent relations that have constant rates

The linear regression equation that models the data in this table is $\^y = 2.40476x + 0.33333$

Regression equation using a graphing calculator

To calculate the regression equation, we make use of a graphing calculator.

Using the graphing calculator, we have the following data:

• Sum of X = 28
• Sum of Y = 70
• Mean X = 3.5
• Mean Y = 8.75
• Sum of squares (SSX) = 42
• Sum of products (SP) = 101

Formulating the regression equation

The regression equation is represented as:

$\^y = b\^x + a$

Where:

$b = \frac{SP}{SSX}$ and $a = MY - bMX$

So, we have:

$b = \frac{101}{42}$

$b = 2.40476$

Also, we have:

$a = MY - bMX$

$a= 8.75 - 2.4\times 3.5$

$a= 0.33333$

Hence, the linear regression equation is:

$\^y = 2.40476x + 0.33333$

Read more about regression equations at:

brainly.com/question/25987747