Below
is the regression output showing the relationship between the square-feet of
the house and sales value.
Regression
StatisticsR
Square0.58082Observations10CoefficientStandard Errort StatP-valueIntercept98.2483358.03341.6920.128Square
Feet0.109770.032973.3290.010a)Write the
regression formula. How much would sales change if square-feet increased by 200
units?a.Y = a + bxb.Y = 98.25 +
(0.11*0)c.Y = 98.25 + 0d.Y = 98.25e.Increased
by 200 unitsf.Y = 98.25 +
(0.11*200)g.Y = 98.25 + 21.95h.Y = 120.20i.Change in Y:21.954
or sales would increase by 22b)Find the
confidence interval for coefficient of the square-feet variable if the critical
t-value is 2.31. Test the null hypothesis that the coefficient of the
explanatory variable is zero.c)Provide a clear
interpretation of the meaning of the R-squared value given above?