Find the best-fitting line for the data in Problem 51 .

Data from problem 51

A bank records the number of mortgage applications and its own prevailing interest rate (at the first of the month) for each of 16 consecutive months. Is there a correlation between the interest rate \((x)\) and the number of applicants \((y)\), and if so is it significant at the \(5 \%\) or the \(1 \%\) significance level?

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Interest Number Interest Number 9.5 9.9 10.0 10.5 11.0 11.5 11.0 12.0 27 29 25 25 19 20 17 13 12.0 12.5 13.0 13.5 13.0 12.5 11.5 11.5 15 10 10 6 5 5 11 14