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Calculate confidence intervals for the intercept and slope

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Reference no: EM131753931

Question: The following data are measurements of tensile strength (100 lb/in2) and hardness (Rockwell E) on 20 pieces of die-cast aluminum

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Suppose we consider the simple normal linear regression to describe the relationship between the response Y (strength) and the predictor X (hardness).

(a) Plot the data in a scatter plot.

(b) Calculate the least-squares line and plot this on the scatter plot in part (a).

(c) Plot the standardized residuals against X

(d) Produce a normal probability plot of the standardized residuals.

(e) What are your conclusions based on the plots produced in parts (c) and (d)?

(f) If appropriate, calculate 0.95-confidence intervals for the intercept and slope.

(g) Do the results of your analysis allow you to conclude that there is a relationship between Y and X? Explain why or why not.

(h) If the model is correct, what proportion of the observed variation in the response is explained by changes in the predictor?

Reference no: EM131753931

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