A newspaper in Germany reported that the more semesters needed to complete an ac

Question

A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 a65 60 C 50 40 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer.

Explanation / Answer

a) Yes , it does support the newspaper report. We observe that y increases as x increases and the points do not lie on a straight line. We can say that a weak positive association exists between the variables x and y.

b) Equation of straight line

y=1.1594x+34.018

where x (semesters) is explanatory variable and y is response variable.

c) R squarred= 33.5% = 0.335

R squarred also known as coefficient of variation.

Interpretation of R squarredindicates that the model explains 33.5% the variability of the response data around its mean.

d) the association shown for business majors is weak negative association. We see y decreases as x increases and the points dp not lie on a straight line.

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