Question

XIX. (Hint: Recall the work we did for 9.1) 67 3 87 5 85 5 92 7 Test score, y Student Study Hours, 98 10 х a. Computer to two decimal places and give a qualitative meaning to r. b. Compute the coefficient of determination, r, to two decimal places and state the meaning of r2 in the context of the problem. c. Write the equation of the Line of Best Fit for the given data. Compute the slope and the y-intercept to two decimal places. ECB: Predict the average test score for x=8 hrs of study.

Answer 1

LTE Vo)) LTE Lul 74% 7:30 p.m. Call: lm(formula = Y - X) Residuals: 1 2 3 4 5 -6.907 3.164 -3.657 5.164 2.236 Coefficients: Estimate Std. Er ror t value Pr(>|t|) (Intercept) 62.014 7. 134 8.693 0.0032 ** Х 3.964 1. 106 3.584 0.0372 * 0 Signif. codes: I*** 0.00 ' 0.1 1**' 0.01 1 1 1*1 0.05 1 1

Residual standard error: 5.8 53 on 3 degrees of freedom Multiple R-squared: 0.8107, Adjusted R-squared: 0.7476 F-statistic: 12.85 on 1 and 3 DF, p-value: 0.03718 [1] 0.9003763

By using R software R code x = 6(-3,5,519, 10) 40(67,85,87,92,98) reg= lim (ynx) summony (reg) cor (814) Output attached with answer a) r = cou(X14)= 0,9004 охоу There is strong positive conrelation between *fy 6) r² = 0.8107 ie. model explain 8.) variation caused by it on y c) y = 62.014 +3.9648 intercept = 62.014 slope = 3.964

ECB) average test score for X = 8 ly1Xo = Bot Bino - 62,014+ 8.964 (8) My180 - dy 120 = 93-726