Question 2

A study is made to determine how ice cubes can cool down a drink.A certain number of ice cubes are placed in a hot drink, and the new temperature of the drink is measured in degrees Celsius.The data is below.Answer the following questions based on the data.Round your answer to 4 decimal places.

Ice Cubes Temperature

0 85

1 82

1 75

1 80

2 71

2 72

2 68

3 63

3 50

4 55

4 56

5 44

5 48

6 40

6 39

7 32

8 26

9 18

10 15

A.What is the correlation coefficient of the above data?

B.Find the regression line based on the above data.

C.Predict the temperature if the number of ice cubes equals 11.

D.Can we do a predication for 50 ice cubes? Why or why not?

E.If the number of ice cubes were to change by 3, what would the temperature change be?

Question 3

Sydney and Alice are arguing about their statistics homework.Sydney was given a problem where she had data from a parabola and she calculated the correlation coefficient and got an numeric value for the answer.She proudly told Alice that you can calculate correlation coefficients for non-linear data.Alice needs to explain why she is wrong.What should Alice say?

Question 4

You are asked to forecast a prediction for widget sales.The last forecast was 750 units.You actually sold 800.Using a smoothing factor of = .3, what is the forecast for the next period?Round to the nearest whole number.

Question 5

Below is a table of ice cream sales.Forecast the amount for week 11 using a three week moving average.Show your work.Round to 2 decimal places if needed.

Week Ice Cream Sales

1 309

2 420

3 165

4 105

5 413

6 157

7 221

8 128

9 112

10 469