Question 1129806

{{{40}}}	{{{199}}}
{{{45}}}	{{{217}}}
{{{50}}}	{{{237}}}
{{{60}}}	{{{280}}}
{{{70}}}	{{{298}}}
{{{75}}}	{{{326}}}
{{{80}}}	{{{334}}}


Sample size: {{{7}}}
Sum of {{{sum(x)= 420}}}
Sum of {{{sum(y)= 1891}}}
Mean {{{x}}} =>{{{ 60}}}
Mean {{{y}}} =>{{{ 270.1429}}}
Sum of squares {{{(SSx) = 1450}}}
Sum of products {{{SP = 4945}}}

Regression Equation =>{{{ y = mx + b}}}

{{{m = SP/SSx = 4945/1450 = 3.41034}}}

{{{b = My - mMy = 270.14 - (3.41*60) = 65.52217}}}

Regression line equation:

{{{ y = 3.41034x + 65.52217}}}



(b) Using the regression model, what is the expected distance a ball will travel when the bat speed is {{{58}}} miles per hour? Round to the nearest foot. 

{{{ y = 3.41034*58 + 65.52217}}}
{{{ y = 197.79972+ 65.52217}}}
{{{ y = 263.32189}}}

to the nearest foot: ____{{{263}}}_______ft