Question

HELP ME PLEASE im literally struggling help please

Answer 1

`\textsf{Graph 1:} \quad y = (20)/(3)x + 50`

`\textsf{Graph 2:} \quad y = x`

`\textsf{Graph 3:}\quad y = -(11)/(2)x + 95`

Explanation:

The line of best fit in a scatterplot is a straight line that shows the general trend in the data by getting as close as possible to the points on the graph. To determine the line of best fit in a scatterplot, we find the line that minimizes the overall distance between the line and the data points.

Graph 3

The data in the third graph displays a negative correlation, meaning that as the x-values of the data points increase, the y-values decrease. Therefore, the slope of the line of best fit for this graph is negative. As there is only one answer option that has a negative slope, the equation of the third graph is:

`\large\boxed{\boxed{\textsf{Graph 3:}\quad y = -(11)/(2)x + 95}}`

Graphs 1 & 2

The data in the first two graphs display a positive correlation, meaning that as the x-values of the data points increase, the y-values also increase. Therefore, the slope of the line of best fit for both these graphs is positive.

To determine which equation matches which graph, we must carefully consider the scale of the axes.

It appears that the axes in graph 2 have a 1 : 1 scale, which means that for every unit of measurement on the horizontal axis (x-axis) there is one unit of measurement on the vertical axis (y-axis). The data points appear to follow a linear trend where y equals x, so the equation for graph 2:

`\large\boxed{\boxed{\textsf{Graph 2:} \quad y = x}}`

By a process of elimination, this means that the equation for graph 1 must be:

`\large\boxed{\boxed{\textsf{Graph 1:} \quad y = (20)/(3)x + 50}}`

Note: Although it is difficult to see from the provided graphs, it appears that the axes in graph 1 have a 1 : 10 scale, so for every unit of measurement on the horizontal axis (x-axis), there are ten units of measurement on the vertical axis (y-axis).