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(+8 Extrа Credit) An engineer is studying the relаtiоnship between the hаrdness оf a material (measured using a standardized test scоre) and the amount of force needed to deform it (in Newtons). The data for five samples is shown below: Sample Hardness (x) Deformation Force (y) A 40 102 B 55 115 C 60 120 D 70 135 E 85 150 The calculator was used to calculate the linear regression equation and the scatter plot below: a. Interpret the slope of the regression line in the context of this problem. b. Identify the correlation coefficient and explain what it tells you about the relationship between hardness and force. c. Predict the deformation force needed for a sample with a hardness of 75. d. Comment on whether this linear model seems appropriate based on the data provided.