Use the data to determine the linear-regression line equation with the US Naval

Question

Use the data to determine the linear-regression line equation with the US Naval Academy and West Point removed. (Round your answers to four decimal places.)

Is there a linear correlation for the data set with these data points removed? Justify your answer. (Round your answers to two decimal places.)
The correlation coefficient is_________and the coefficient of determination is_________with the points removed. This implies there (Is/ Is not) a fairly strong linear association between tuition costs and salaries with the points removed.

School Mid-Career Salary (in thousands) Yearly Tuition Princeton 137 28,540 Harvey Mudd 135 40,133 CalTech 127 39,900 US Naval Academy 122 0 West Point 120 0 MIT 118 42,050 Lehigh University 118 43,220 NYU-Poly 117 39,565 Babson College 117 40,400 Stanford 114 54,506

Explanation / Answer

y = 110273.31 - 563.45 X

The correlation coefficient is -0.714 and the coefficient of detrmination is 0.51

This implies there is a fairly strong linear association between tuition costs and salaries.

Regression Analysis r² 0.510 n   8 r   -0.714 k   1 Std. Error   5332.808 Dep. Var. Yearly Tuition ANOVA table Source SS   df   MS F p-value Regression 177,430,056.3660 1   177,430,056.3660 6.24 .0467 Residual 170,633,069.1340 6   28,438,844.8557 Total 348,063,125.5000 7   Regression output confidence interval variables coefficients std. error    t (df=6) p-value 95% lower 95% upper std. coeff. Intercept 110,273.3075 0.000 Mid-Career Salary (in thousands) -563.4511 225.5790 -2.498 .0467 -1,115.4230 -11.4792 -0.714

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