Question

A technician wants to determine whether the temperature of a metal rod is related to its length. To do so she gradually heated the metal rod and recorded its length at various temperatures. Her findings are shown below: Temperature (℃) - ?? 15 20 25 30 35 40 Length (????) - ?? 100 103.5 106.1 112 116.1 119.9

a) Calculate the sample correlation coefficient, ??. Show all your work clearly.

∑ ?? =

∑ ?? =

∑ ?? ∙ ?? =

∑ ??2 =

∑ ??2 =

b) Using a linear regression analysis, predict the length of the metal rod when its temperature is 33∘ . First determine the regression line, show all your work clearly.

Answer 1