Task 17 Here is a scatter plot of weight vs. age for different Dobermans. The model, represented by
y = 2.45x + 1.22, is graphed with the scatter plot. Here, x represents age in weeks, and y
represents weight in pounds.

The slope means that the Doberman expect to gain 2.45 pounds per week during their first 25 weeks.

A newborn Doberman would be expected to weigh 1.22 pounds.

Explanation:

Scatter plots are used to get the relationships between variables through the used  of dots to replace variables. The horizontal and vertical axis value is used to indicate the position for each dot.

A linear relationship can exist between the data points in a scatter plot if a straight line fits through the data comfortably. If the slope of the line is positive then there is a positive correlation between the variables.

The equation of a linear function is:

y = mx + b;

where m is the slope and b is the y intercept

Given that x represents age in weeks, and y  represents weight in pounds. The model can be represented by a straight line with a formula:

y = 2.45x + 1.22,

The slope of the line is 2.45, hence the Doberman gains weight of 2.45 pounds per week.

The y intercept is 1.22, that means at 0 weeks (new born Doberman), the weight of a new born Doberman is 1.22 pounds

The slope means that the Doberman expect to gain 2.45 pounds per week during their first 25 weeks.

A newborn Doberman would be expected to weigh 1.22 pounds.