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In: Statistics and Probability

Only need assistance on question F, G, and H!!! For this problem use the “plastic hardness”...

Only need assistance on question F, G, and H!!!

For this problem use the “plastic hardness” data which can be found in Moodle PLASTIC.dat . The first column is the plastic hardness (Y ) and the second column is the elapse time (X)

199.0 16.0

205.0 16.0

196.0 16.0

200.0 16.0

218.0 24.0

220.0 24.0

215.0 24.0

223.0 24.0

237.0 32.0

234.0 32.0

235.0 32.0

230.0 32.0

250.0 40.0

248.0 40.0

253.0 40.0

246.0 40.0

(a) Plot the a scatter plot for this data. Is the relationship approximately linear?

(b) Run the linear regression to predict hardness from time using the REG procedure

to find the estimated regression equation.

(c) Test the null hypothesis that the true slope is 0; be sure to include null, alternative

hypotheses, test method, and interpret your results.

(d) Obtain a 95% confidence interval for the slope and interpret your result.

(e) Construct the confidence interval for the

mean plastic hardness

when the elapse

time is 20.

(f) Construct the prediction interval for the plastic hardness when a particular prod-

uct has the elapse time is 20. Is this interval the same as the previous? Explain.

(g) What percent of the variation in hardness is explained by elapsed time?

(h) Using the information you’ve gathered about these data so far, comment on

whether you think this will be a good predictive model for hardness.

Solutions

Expert Solution

orchestra answered 1 year ago
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