This task assesses the following learning outcomes: ? Understand statistical language, statistical cont

This task assesses the following learning outcomes:

·  Understand statistical language, statistical context and develop statistical thinking.

·  Design statistical models, perform analysis and solve real-world problems.

·  Interpret results of statistical analysis.

Task:

You are required to answer all the questions and solve all the exercises in the proposed assignment.

This is an individual task. All students must submit their own file in the corresponding submission point.

Exercises

The weather was considered an important element in the sales pattern of a certain product. Over a four-month period the average daily air temperature was recorded and the average daily sales of the product were calculated for each temperature. The results were as follows:

Temp. (ºC)     10     11    12    13    14    15    16    17    18     19    20    21    22    23    24

Av. sales (€)   103  104   95    83    81    75    68    47    53    40    43    40    38    39    35

Ex. 1.  Plot a scatter diagram of the data. What does this suggest?

Ex. 2.  Describe what a regression equation line is?

Ex. 3.  Find the linear regression equation that best fits the data.

Ex. 4.  Describe what a correlation coefficient is? 

Ex. 5.   Find the correlation coefficient of the above data?

Ex. 6.   Use the regression equation to estimate (forecast) the number of products that will be sold if the temperature reaches 27ºC.

Submission file format: Word document with all the answers, clearly identifying all steps, results, and including comments for each step