Question

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they studied for the exam. Construct a interval for y, the score on the final exam, given x -7 hours,5.04x+6.11 and s -6.35 허허허허허워 허허허허 Scones, y O55.43 <y< 78.19 O 79.16 <y< 112.34 074.54 < y < 10830 77.21c y < 110.45

Answer 1

The statistical software output for this problem is:

Simple linear regression results: Dependent Variable: y Independent Variable: x y-56.113924 5.0443038 x Sample size: 10 R (correlation coefficient) 0.84650396 R-sq 0.71656896 Estimate of error standard deviation: 6.3051365 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 56.113924 5.1154356 Slope #0 8 10.96953 <0.0001 5.0443038 1.1216335 #08 4.4972836 0.002 Analysis of variance table for regression model Source DF Model 1 80 Error Total F-statp-value MS 4.06203 804.06203 20,22556 0.002 8 318.03797 39,754747 1122.1 Predicted values: X value Pred. Y 91.424051 s.e.(Pred. y) 95% C.1, for mean 95% P.I. for new 3.7200373 (82.845629, 100.00247) (74.542364, 108.30574)

Hence,

The prediction interval will be:

74.54 < y < 108.30

Option C is correct.