What is the best estimate of the correlation coefficient for the variables in the scatter plot

Mathematics

2 answers:

RUDIKE [14]3 years ago

5 0

Answer: -0.99

Step-by-step explanation:

From the given picture, it can be seen that there is a strong negative correlation between the variables.

i.e. the value of correlation coefficient must be negative.

The value of strong correlation coefficient r, lies between the absolute value of 0.75 to 1.

From all the given options -0.99 has the nearest value to the absolute value of 1.

Therefore, the best estimate of the correlation coefficient for the variables in the scatter plot = -0.99

AVprozaik [17]3 years ago

3 0

I believe this would be -.99. Correlation typically goes from -1 to 1 with 0 being no correlation whatsoever. Since this has such a strong negative slope, it would need to be as close to -1 as possible.

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At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

$\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30$