Use the graphing calculator tool to plot the residual points. (1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1)

Does the residual plot show that the line of best fit is
appropriate for the data?

A. Yes, the points have no pattern.

B. Yes, the points are evenly distributed about the x-axis.

C. No the points are in a linear pattern.

D. No, the points are in a curved pattern.

The residual plot obtained follows a linear pattern, Hence, it shows that the line of best fit is not appropriate for the data.

The residual plot is a plot with the independent variable on the horizontal (x-axis) and the residual values (difference between the observed and predicted values) in the vertical x-axis.

• If a residual plot has it's points randomly scattered (has no pattern) around the horizontal axis. It depicts that the linear model is a good fit for the data. If otherwise, then the linear model isn't a good fit as it signifies that the data has a non-linear relationship.

Since, the data of the residual plot given above shows a linear pattern, then it shows that the line of best fit is not appropriate for the data.

Learn more on residual plot : link

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be