ation of the egression ne crte given data. at would be the preclcted score or a

Question

ation of the egression ne crte given data. at would be the preclcted score or a history student who slept 1 G hours the previous nicht? sth The data below are the final exam scores of 10 andomly sa ected history s uden s and the number a hours they slapt the nght before the exam ? ndte e queston? Rcund your precicted score to the nearcst whole number. Round the regression line valucs to the nearezt hundredth. a easonable Hours, x 35202456 3 Scures,y 65 80 60 88 66 78 85 90 90 71 504x+G.11 132 Yes, h rasonabic. O B. 50k + 56 11 13Noi isnt rsnnabla Fteen hours is wal outside tha scapa of the modal ? C. y--504x +56.11-20, Yes, it,essonable. O56.1-20: N, t t reacnable. Fitson hours is wel outide the scpe of the modsl

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Scores, y
Independent Variable: Hours, x
Scores, y = 56.113924 + 5.0443038 Hours, x
Sample size: 10
R (correlation coefficient) = 0.84650396
R-sq = 0.71656896
Estimate of error standard deviation: 6.3051365

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Option B is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 56.113924 5.1154356 ? 0 8 10.96953 <0.0001 Slope 5.0443038 1.1216335 ? 0 8 4.4972836 0.002

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