Question: Over a period of ten years, the number of times a certain individual has visited New York each year has been recorded. Records have also been kept of the number of incidents of major jewelry thefts in the city for each year in this period. The numbers are as follows:
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(a) Show that there is a significant linear correlation between number of visits and the number of thefts. (b) Determine the equation of the regression line.
(c) Estimate the percentage of thefts that are explained by this person's number of visits to the city each year.
(d) Predict with a 95% confidence level how many thefts are likely to occur if this person visits New York 25 times next year. Write the prediction interval for this estimate.