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[Solution] For questions numbered 6 to 7, determine the indicated probabilities for a binomial experiment with the given number of trials n and the given

Question: For questions numbered 6 to 7, determine the indicated probabilities for a binomial experiment with the given number of trials n and the given success probability p.

The least squares (or regression) line is \[y=mx+b\] where \[m=\frac{n\left( \sum{xy} \right)-\left( \sum{x} \right)\left( \sum{y} \right)}{n\left( \sum{{{x}^{2}}} \right)-{{\left( \sum{x} \right)}^{2}}}\,\,\,\,\,\,\,\,\,\,\,\,and\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b=\frac{\sum{y-m\left( \sum{x} \right)}}{n}\]

Find the best-fitting line for the data below. Round to nearest thousandth if necessary.

Student # 1 2 3 4 5
Study time
(minutes) 		30 40 30 35 45
Grade 72 85 75 78 94
x y xy \[{{x}^{2}}\]
30 72
40 85
30 75
35 78
45 94
\[\sum{x}\] = \[\sum{y=}\] \[\sum{x}y=\] \[{{\sum{x}}^{2}}=\]

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