# 3 calculate estimates for the slope and y intercept

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(3) Calculate estimates for the slope and y-intercept and write out the fitted simple regression model for the following data BY HAND. Observatio n X Y XY X*X Y * Y 1 0.5 86.1 43.05 0.25 7 4 1 3 . 2 1 2 0.6 92.1 55.26 0.36 8 4 8 2 . 4 1 …. …. …. …. …. . 14 3 447.2 1341.6 9 1 9 9 9 8 7

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. 8 15 3 563.8 1691.4 9 3 1 7 8 7 0 . 4 Totals 35 4242 8854 52 1 6 1 7 7 0 0 (4) A regression analysis between the variables y and x resulted in the following least squares line,. a) Find the predicted value of y when x = 3. b) If we observe that y = 50 when x = 3, find the residual for this observation. (5) Sample data was collected to determine the relationship between processing variables (diffusion time and sheet resistance) and the current gain of a transistor in the integrated circuit. Diffusion Time (Hours) Sheet Resistance Current Gain 1.5 66 5.3 2.5 87 7.8 0.5 69 7.4 2.6 93 10.8 0.3 105 9.1 2.4 111 8.1 2.0 78 7.2 0.7 66 6.5
a) Use JMP to fit the two simple linear regression models explaining gain. b) Verify the model assumptions for the model with diffusion time. c) Conduct an F test for the model with diffusion time.

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