The Statistics Consulting Center at Virginia Tech analyzed data on normal woodchucks for the Department of Veterinary Medicine. The variables of interest were body weight in grams and heart weight in grams. It was desired to develop a linear regression equation in order to determine if there is a significant linear relationship between heart weight and total body weight. Use heart weight as the independent variable and body weight as the dependent variable and fit a simple linear regression using the following data. In addition, test the hypothesis H₀ : β₁ = 0 versus H₁ : β₁ = 0. Draw conclusions.

Body Weight (grams)            Heart Weight (grams)
4050.................................................11.2
2465.................................................12.4
3120.................................................10.5
5700.................................................13.2
2595.................................................9.8
3640.................................................11.0
2050.................................................10.8
4235.................................................10.4
2935.................................................12.2
4975.................................................11.2
3690.................................................10.8
2800.................................................14.2
2775.................................................12.2
2170.................................................10.0
2370.................................................12.3
2055.................................................12.5
2025.................................................11.8
2645.................................................16.0
2675.................................................13.8