while using the t-test to test whether regression is significant, in the model yi=β0+β1xi+εiyi=β0+β1xi+εi, what is the calculated student-t statistics (H0:β1=0H0:β1=0 versus H1:β1≠0H1:β1≠0). Calculate...

while using the t-test to test whether regression is significant, in the model yi=β0+β1xi+εiyi=β0+β1xi+εi, what is the calculated student-t statistics (H0:β1=0H0:β1=0 versus H1:β1≠0H1:β1≠0).

Calculate the least squares estimates of β0β0 in the model yi=β0+β1xi+εi

Calculate the sum of squares of  y denoted by Syy , the sum of squares of x denoted by Sxx and sum of squares (products) of x  and y denoted by Sxy

while using analysis of variance (ANOVA) to test whether regression is significant, in the model yi=β0+β1xi+εiyi=β0+β1xi+εi, what is the residual or error sum of squares due to regression, SSE.

kindly help with this question

Extracted text: A research Scientists is interest in studying the relation between chloride concentration (y) in surface streams and roadway area (x) in a watershed (in percentage) Sample 1 2 3 5 6 7 8 9 10 y 10.15 11.25 12.80 13.25 13.35 13.40 13.85 14.00 15.10 15.30 0.31 0.27 0.69 0.82 0.79 0.75 0.59 0.82 0.72 0.90 Sample 11 12 13 14 15 16 17 18 y 15.45 16.60 17.55 19.50 21.65 21.80 23.85 27.70 0.93 0.90 0.81 1.42 1.17 1.18 1.86 1.74