[FIXED] What to conclude from parameters of the simple linear regression model about data

Issue

I had a dataset for which I needed to provide a linear regression model that represents diameter as a function of length.Data which has length in first column and diameter in second looked like: 0.455,0.365 0.44,0.365

I carried out the required operations on the given dataset in R,and plotted the regression line for the data

I am just confused about what to conclude from the parameters(slope=0.8154, y intercept:-0.019413, correlation coefficient:0.98 ). Can I conclude anything other than line is a good fit. I am new to statistics. Any help would be appreciated.

Solution

Slope 0.8154 informs you that each unit increase for lenght causes increase of diamater in 0.8154*unit. Intercept -0.019413 is probably statistically insignificant in this case. To verify that you have to look at t-statistics for example.

On this page you can find nice course with visualizations about simple linear regression and other statistical methods answering your questions.

Answered By - Glaud

Answer Checked By - Terry (PHPFixing Volunteer)