Researchers conducted a survey to study how well students’ age predicts the numb
ID: 3223317 • Letter: R
Question
Researchers conducted a survey to study how well students’ age predicts the number of hours worked per week. Here is a part of the dataset followed by summary statistics that have been calculated for you.
Age
Number of Hours Worked per Week
18
16
20
21
22
26
23
29
24
30
25
40
The summary statistics are Mx = 22 , My = 27 , SDx = 2.61, SDy = 8.25, and r = 0.96 (the correlation between age and number of hours worked per week). The figures have been rounded to two significant digits so please use the rounded figure for the following calculations. Do NOT recalculate the summary statistics! Also, multi-steps calculations are required to get to the correct answer, so do NOT round the intermediate calculations beyond 3 decimal places!
Calculate the intercept for the regression equation (round your final answer to TWO decimal places).
Calculate the slope for the regression equation (round your final answer to TWO decimal places).
Age
Number of Hours Worked per Week
18
16
20
21
22
26
23
29
24
30
25
40
Explanation / Answer
Slope (b) = r * SDy / SDx = 0.96 * 8.25 / 2.61 = 3.03
Intercept (a) = My - b*Mx = 27 - 3.03 (22) = -39.76
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