Question

Hot chocolate sales and outside temperatures sales $100 $213 $830 $679 $209 $189 $1110 $456 $422 $235 $199 Temperature 92 88 54 62 85 16 52 65 68 89 91 A Make a scatterplot of the data above B Do you notice clusters or outliers in the data? Explain your reasoning C how would you describe the correlation in the data? Explain D Ehat are the independent and dependent variables?

Answer 1

Answer:

(A) The scatter plot is attached below.

(B) The outlier is at (189, 16°F).

(C) There is a negative correlation.

(D) The dependent variable is sales and independent variable is the temperature.

Step-by-step explanation:

The data provided for Hot chocolate sales and outside temperatures is as follows:

Sales (Y)  Temperature (X)

  100          92

  213                88

  830          54

  679          62

  209          85

   189           16

  1110          52

  456          65

  422          68

  235          89

   199          91

(A)

The scatter plot is attached below.

(B)

A cluster is a collection of points or values at one place.

On the scatter plot there is a cluster of three values between the temperatures 80°F to 100°F.

An outlier is a value that is very different from the other values in a data set. It is either too small or too large.

There is an outlier present in the provided data set.

The outlier is at (189, 16°F).

(C)

The point on the scatter plot are downwards sloping.

This implies that there is a negative relationship between the variables temperature and sales.

Thus, there is a negative correlation.

(D)

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case the data represents the sales of hot chocolate according to the temperature outside.

So, the dependent variable is sales and independent variable is the temperature.

This is because as the temperature decreases the sales of hot chocolate increases.