Happy Lodge Ski Resorts tries to forecast monthly attendance. The management has

Question

Happy Lodge Ski Resorts tries to forecast monthly attendance. The management has noticed a direct relationship between the average monthly temperature and attendance.

Month Ave. Temp Attendance

1------------21-----------42

2------------29-----------35

3-----------21------------38

4-----------36------------32

5-----------42------------29

Given five months of average monthly temperatures and corresponding monthly attendance, compute a linear regression equation of the relationship between the two. Round your answer to 2 decimal places, the tolerance is +/-0.01. For negative amounts use a negative sign preceding the number eg -45.

Resort attendance =

If next month’s average temperature is forecast to be 45 degrees, use your linear regression equation to develop a forecast. (To achieve this answer do not round your interim calculations. Round your answer to 1 decimal place, the tolerance is +/-0.1.)
Resort attendance =

Compute a correlation coefficient for the data and determine the strength of the linear relationship between average temperature and attendance. How good a predictor is temperature for attendance? (Round your answer to 2 decimal places, the tolerance is +/-0.01.)
The correlation coefficient is:

Explanation / Answer

1.The regression equation is
Resort Attendance = 50.8 - 0.525 Average Temp

2.Resort Attendance for 45 degrees Temp =50.8-0.525*45=50.8-23.625=27.175

3.Correlations: Average Tem, Attendance

Pearson correlation of Average Tem and Attendance = -0.958
P-Value = 0.010

There is a strong negative relationship between the variables.

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