4.7 Least Squares Regression CFU Different weights are suspended from a spring and the length of the spring is measured. The results are shown in the table below. Weight (g) (x) 100 150 200 250 300 350 400 Length of Spring (cm) (y) 26 35 32 37 48 49 52 (b) Find the correlation coefficient, r. 1Different weights are suspended from a spring and the length of the spring is measured. The results are shown in the table below. Weight (g) (x) 100 150 200 250 300 350 400 Length of Spring (cm) (y) 26 35 32 37 48 49 52 (c) Describe the strength and direction of the correlation (choose all that apply) Very weak Weak Moderate Strong Positive Negative No correlation 1Different weights are suspended from a spring and the length of the spring is measured. The results are shown in the table below Weight (g) (x) 100 150 200 250 300 350 400 Length of Spring (cm) (y) 26 35 32 37 48 49 52 (d) The equation of the regression can be written in the form y = ax + b. Find the value of a and the value of b. 1Different weights are suspended from a spring and the length of the spring is measured. The results are shown in the table below Weight (g) (x) 100 150 200 250 300 350 400 Length of Spring (em) (y) 26 35 32 37 48 49 52 (e) Use your regression equation to predict the length of the spring when a 450g weight is suspended from it. Length = cm 2