Which line is a linear model for the data? Uploading pictures

Mathematics

1 answer:

dmitriy555 [2]3 years ago

3 0

Answer:

Step-by-step explanation:

You will probably find that line C has the best correlation with the data plotted.

In general, the "line of best fit" will minimize the sum of squares of vertical distances between data points and the line. The line with the smallest vertical differences is the line in graph C.

_____

The line in graph D goes through several data points, so the vertical distance from the point to the line is zero for those. However, the remaining points are farther from the line than they are in graph C. The measure of fit is the square of the distance, so the penalty for larger distances is fairly severe.

You might be interested in

A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.