Question

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is -940.908.60x. Because 1 lb 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y), what is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.) x 200.1 210.1 220.1 | 230.1 | 240.0 y|814.5 |786.1 |961.2 | 11 18.8 | 1077.0

Answer 1

Scatter plot for original data

1200 1000 800 y 8.5988x-940.9 R2 0.8186 th 600 5 400 200 195 200 205 210 215 220 225 230 235 240 245 Weld Diameter

When pounds is converted to kg the regression equation will be

600 500 400 y 3.9004x-426.79 R 0.8186 300 200 100 195 200 205 210 215 220 225 230 235 240 245 Weld size

y = 3.90x-426.79