4. For the information given below, find the correlation coefficient and describe the type of correlation that exists between the data. Then find the line of best fit. If the correlation is strong, then predict a single data point that is higher than those found in the table. If the correlation is not strong, then state this in a sentence. The table below lists the number of goals scored and the number of wins for the top 12 teams in the 2019-2020 English Premier League season. GOALS 85 86 80 WINS 32 24 24 78 22 77 54 62 21 18 18 43 79 68 41 55 13 12 13 25 19

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**Problem 4: Correlation and Prediction Analysis**

For the information given below, find the correlation coefficient and describe the type of correlation that exists between the data. Then, find the line of best fit. If the correlation is strong, predict a single data point that is higher than those found in the table. If the correlation is not strong, then state this in a sentence.

The table below lists the number of goals scored and the number of wins for the top 12 teams in the 2019-2020 English Premier League season.

| GOALS | 85 | 86 | 80 | 78 | 77 | 54 | 62 | 41 | 55 | 43 | 79 | 68 |
|-------|----|----|----|----|----|----|----|----|----|----|----|----|
| WINS  | 32 | 24 | 24 | 22 | 21 | 18 | 18 | 13 | 13 | 12 | 25 | 19 |

**Instructions:**

1. Calculate the correlation coefficient to determine the strength and direction of the relationship between goals scored and wins.
2. Describe the type of correlation (positive, negative, or none).
3. Use statistical methods to find the line of best fit.
4. If the correlation is strong, make a prediction for a number of wins corresponding to a high number of goals scored not present in the table.
5. If the correlation is not strong, provide a statement reflecting this observation.
Transcribed Image Text:**Problem 4: Correlation and Prediction Analysis** For the information given below, find the correlation coefficient and describe the type of correlation that exists between the data. Then, find the line of best fit. If the correlation is strong, predict a single data point that is higher than those found in the table. If the correlation is not strong, then state this in a sentence. The table below lists the number of goals scored and the number of wins for the top 12 teams in the 2019-2020 English Premier League season. | GOALS | 85 | 86 | 80 | 78 | 77 | 54 | 62 | 41 | 55 | 43 | 79 | 68 | |-------|----|----|----|----|----|----|----|----|----|----|----|----| | WINS | 32 | 24 | 24 | 22 | 21 | 18 | 18 | 13 | 13 | 12 | 25 | 19 | **Instructions:** 1. Calculate the correlation coefficient to determine the strength and direction of the relationship between goals scored and wins. 2. Describe the type of correlation (positive, negative, or none). 3. Use statistical methods to find the line of best fit. 4. If the correlation is strong, make a prediction for a number of wins corresponding to a high number of goals scored not present in the table. 5. If the correlation is not strong, provide a statement reflecting this observation.
Expert Solution
Step 1:-

The number of wins depend on the number of goals so here goals is a independent variable X and Wins is a dependent variable Y. 

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