The residual plot for a data set is shown.

Mathematics

2 answers:

topjm [15]3 years ago

8 0

Answer:

D.The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Cerrena [4.2K]3 years ago

3 0

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

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To begin a bacteria study, a petri dish had 1800 bacteria cells. Each hour since, the number of cells has increased by 15%.

rodikova [14]

Answer:

The exponential function is $C(t)=y(b)^t\ Or\ C(t)=1800(1.15)^1$

Step-by-step explanation:

Given

$t$ be the number of hours.

$y$ number of bacteria cells.

And we know that an exponential function is $C(t)=y(b)^t$ ,where $b$ is a positive real number, and in which the argument $t$ occurs as an exponent

The petri dish has $1800$ bacteria cells we can say that $y=1800$

In the equation as $C$ is function of time and $(t)$ will vary as $1,2,3$ for respective hours.

To find the value of $b$ we have to understand that it is dependent on percent increase if there is increment of $15\%$ then $b=1+15\%=1+\frac{15}{100}=1+0.15=1.15$