John is an avid fisherman and wants to know if there is acorrelation between the

Question

John is an avid fisherman and wants to know if there is acorrelation between the amount of time he spends fishing and theamount of fish he catches. He decided to keep track of the time hespent at the lake and the amount of fish he caught. The resultswere as follows:

Week

1

2

3

4

5

6

Hours at lake

2

3

2

1

4

5

Fish caught

5

5

4

3

6

9

Use the information regarding John’s fishing trips toperform a simple (bivariate) regression analysis. Use the hoursspent as the X variable, and the number of fish caught as the Yvariable. Calculate r and r2, standard error of theestimate, and a confidence interval for the data. Interpret theresults.

Week

1

2

3

4

5

6

Hours at lake

2

3

2

1

4

5

Fish caught

5

5

4

3

6

9

Explanation / Answer

The regression equationis
y = 1.58 + 1.32 x

Predictor    Coef SECoef     T      P
Constant   1.5846   0.7332 2.16 0.097
x         1.3231   0.2338 5.66 0.005

S = 0.769615   R-Sq = 88.9%   R-Sq(adj) =86.1%

Analysis of Variance

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