Question

In: Statistics and Probability

We are interested in studying the linear relationship between someone's age and how much they spend...

  1. We are interested in studying the linear relationship between someone's age and how much they spend on travel. The following data is provided:

    Amount Spent on Travel Age
    850 39
    997 43
    993 50
    649 59
    1265 25
    680 38

    Find SST.

    a.

    667.33

    b.

    153,844.05

    c.

    264,991.33

    d.

    196.11

  2. We are interested in studying the linear relationship between someone's age and how much they spend on travel. The following data is provided:

    Amount Spent on Travel Age
    850 39
    997 43
    993 50
    649 59
    1265 25
    680 38

    Find SSR.

    a.

    153,844.05

    b.

    111,147.2

    c.

    264,991.33

    d.

    667.33

Solutions

Expert Solution

using excel data analysis tool for regression,steps are: write data>menu>data>data analysis>regression>enter required labels>ok> and following o/p is obtained

Regression Statistics
Multiple R -0.6476
R Square 0.4194
Adjusted R Square 0.2743
Standard Error 196.1148
Observations 6
ANOVA
df SS MS F Significance F
Regression 1 111147.2 111147.3 2.89 0.1644
Residual 4 153844.1 38461.0
Total 5 264991.33
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 1452.0035 331.2046 4.3840 0.0118 532.4321 #########
X -12.9056 7.5917 -1.7000 0.1644 -33.9835 8.1723

from here,

SST= 264991.33

SSR = 111,147.2


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