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#### A random sample of 11 statistics students produced the following data, where x is the third exam score [out of 80} and v is the final exam score {out of 200]

###### Statistics

A random sample of 11 statistics students produced the following data, where x is the third
exam score [out of 80} and v is the final exam score {out of 200]. x (third exam score] 55 57' 3’1 7'1 56 75 5? 7'0 3’1 69 59
5! [final exam score] 175 133 163 185 126 198 153 163 159 151 159 (a) Draw a scatterplot for this set of data. (b) Determine the linear correlation coefficient, r. (c) Based on the value of r, is there sufficient evidence to conclude that there is a relationship
between the exam scores? Explain. (d) Determine the line of best fit. [e] Predict the final exam score given a third exam score of 70. if} What is the residual for a third exam score of 7‘0? {g} What is the coef?cient of determination? (h) Is the data point [75, 198] an influential observation? Explain.