If you play tennis, you know that tennis racquets vary in their physical characteristics. The data in the accompanying table give measures of bending stiffness and twisting stiffness as measured by engineering tests for 12 tennis racquets:

Bending Stiffness, x	Twisting Stiffness, y
419	227
407	231
363	200
360	211
257	182
622	304
424	384
359	194
346	158
556	224
474	305
441	235

At 0.10 level of significance, determine if there is a significant relationship between the bending and twisting stiffness of the tennis racquets.

Statement of Hypotheses:

Ho:There is no significant relationship between the bending and twisting stiffness of the tennis racquets.

Ha: There is a significant relationship between thebending and twisting stiffness of the tennis racquets.

Use this site to compute for Pearson r coefficient:https://www.socscistatistics.com/tests/pearson/default2.aspx

Pearson r (4dp): Answer

Using this site to calculate p-value:https://www.socscistatistics.com/pvalues/pearsondistribution.aspx

p-value (3dp): Answer

Conclusion:

There is no significant relationship between thebending and twisting stiffness of the tennis racquets.

There is a significant relationship between thebending and twisting stiffness of the tennis racquets.

Determine the regression model for the relationship betweenthebending and twisting stiffness of the tennis racquets. You may use this site: https://www.socscistatistics.com/tests/regression/default.aspx

Regression Model Equation (2dp): Y = Answerx + Answer

Estimate the twisting stiffness when the bending stiffness isx= 450units.

Twisting stiffness(2dp):Answer