research project was conducted to study student\'s performance in a first-year Biostatistics unit at the university level

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QuESTIoN 1 (24 A research project was conducted to study student's performance in a first-year Biostatistics unit at the university level. The factor examined was the number of sleep hours obtained the night before the test. Twelve students from that unit were randomly chosen and the following data were collected Sleep Hours Obtained (hrs)

(a) From the researcher's perspective, which variable is the predictor and which is the response? Provide an explanation.

(b) Calculate the sian of square totals for S.

(c) Calculate the correlation coefficient and comment on the direction. shape and strength of the relationship.

(d) Calculate the coefficient of detennmation and explain it in the context of the data.

(e) Find the least-squares estimates of b0 and b1 for the regression of sleep hours on the marks obtained and write down the equation.

(f) Using the t-test. perform a hypothesis test to determine whether ß = O and another to determine whether fi1 =0.

(g) What is the 95. confidence interval for the mark of a student who obtained 7 hours of sleep the night before the test?

(h) What is the 95o prediction interval for the mark of a student who obtained 7 hours of sleep the night before the test?

 

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