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## Which one of the following statements is true using alpha = 0.05

Cape San Blas manages rental beach properties during the summer season for property owners. They would like to determin if a relationship exists between the squate footage of beach property and the weekly rental rates during the summer season. Simple regression analysis was performed using a random sample of beach properties with the results shown below.

SUMMARY OUTPUT | ||||||

Regression Statistics | ||||||

Multiple R | 0.4738 | |||||

R Square | 0.2245 | |||||

Adjusted R Square | 0.1599 | |||||

Standard Error | 298.08 | |||||

Observations | 14 | |||||

ANOVA | ||||||

df | SS | MS | F | Significance F | ||

Regression | 1 | 308653.6 | 308653.6 | 3.47 | 0.087 | |

Residual | 12 | 1066189 | 88849.1 | |||

Total | 13 | 1374843 | ||||

Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |

Intercept | 817.0948 | 359.62 | 2.272 | 0.0423 | 10.74532753 | 33.553 |

Sales | 0.328 | 0.176 | 1.8638 | 0.087 | -0.055 | 0.711 |

Which one of the following statements is true using alpha = 0.05

a. Because the p -value for the slope is 0.0423, we can reject the null hypothesis and conclude that there is a relationship between the weekly rental and square footage of beach property.

b. Becsuse the p -value for the slope is 0.0423, we fail to reject the null hypothesis and conclude that there is a relationship between the weekly rental and square footage of beach property.

c. Because the p-value for the slope is 0.0870, we can reject the null hypothesis and conclude that there is a relationship between the weekly rental and square footage of beach property.

d. Because the p -value for the slope is 0.0870, we fail to reject the null hypothesis and conclude that there is a relationship between the weekly rental and square footage of beach property.