Question

You are required to find the correlation between Part-Time Weekly Earnings by College Students (Y) and their Hours Worked (X). The data appear in the table below. Begin by filling in the cells in the table to calculate SSxx, SSyy, and SSxy. (Leave no cells blank. Be certain to enter "0" wherever required.) College Student Weekly Earnings in Dollars (n = 5) Hours Worked (X) Weekly Pay (Y) (xi-x̄)² (yi-ȳ)² (xi-x̄)(yi-ȳ) 10 93 0 0 0 15 171 0 0 0 20 204 0 0 0 20 156 0 0 0 35 261 0 0 0 x̄ ȳ SSxx SSyy SSxy

          You are required to find the correlation between Part-Time Weekly Earnings by College Students (Y) and their Hours Worked (X). The data appear in the table below. Begin by filling in the cells in the table to calculate SSxx, SSyy, and SSxy. (Leave no cells blank. Be certain to enter "0" wherever required.)

College Student Weekly Earnings in Dollars (n = 5)
Hours Worked (X)   Weekly Pay (Y)   (xi-x̄)²   (yi-ȳ)²   (xi-x̄)(yi-ȳ)
10                  93               0          0          0
15                  171              0          0          0
20                  204              0          0          0
20                  156              0          0          0
35                  261              0          0          0
x̄                   ȳ                SSxx       SSyy       SSxy
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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You are required to find the correlation between Part-Time Weekly Earnings by College Students (Y) and their Hours Worked (X). The data appear in the table below. Begin by filling in the cells in the table to calculate SSxx, SSyy, and SSxy. (Leave no cells blank. Be certain to enter "0" wherever required.) College Student Weekly Earnings in Dollars (n = 5) Hours Worked (X) Weekly Pay (Y) (xi-x̄)² (yi-ȳ)² (xi-x̄)(yi-ȳ) 10 93 0 0 0 15 171 0 0 0 20 204 0 0 0 20 156 0 0 0 35 261 0 0 0 x̄ ȳ SSxx SSyy SSxy
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(a) Calculate SSxx, SSyy, and SSxy. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Click here for the Excel Data File College Student Weekly Earnings in Dollars (n = 5) Hours Worked (X) Weekly Pay (Y) (xi - x)² (yi - y)² (xi - x)(yi - y) 9 103 14 173 22 216 18 153 36 260 x y SSxx SSyy SSxy (b) Calculate the sample correlation coefficient. Check your work by using Excel's function =CORREL(array1,array2). (Round your answer to 4 decimal places.) r (c) Find t0.025 for a two-tailed test for zero correlation at α = 0.05. (Round your answer to 3 decimal places.) t0.025 ± (d-1) Calculate the t test statistic. (Round your answer to 3 decimal places.) tcalc

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Transcript

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00:01 Hello, let's have a look on the question.
00:02 So here we calculated these values using excel.
00:05 So x bar here is equal to summation of xi divided by n, and summation of xi is 100 and n is given to us 5.
00:12 So this value will be equal to 20.
00:14 Next we have y bar, that is summation of yi divided by n, which is equal to 885 divided by 5, that is 177.
00:24 Next we have sxx, that is, summation of xi minus y, whole square.
00:30 This is xi minus x bar whole square, which is equal to 350.
00:37 Next we have s of yy, which is summation of yi minus y bar whole square, that is 15318...
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