For Exercise 1 through 7, do a complete regression analysis by performing the following steps.
a.Draw the scatter plot.
b.Compute the value of the correlation coefficient.
c.Test the significance of the correlation coefficient at α = 0.01, using Table I or use the P-value method.
d.Determine the regression line equation if r is significant.
e.Plot the regression line on the scatter plot, if appropriate.
f.Predict y′ for a specific value of x, if appropriate.
7.Internet Use and Isolation A researcher wishes to see if there is a relationship between Internet use by high school students and isolation of the students. Internet use is measured by the number of hours per week that the students spend on the computer. Isolation is measured by having the students complete a questionnaire. The questionnaire score ranges from 20 to 50, with 50 being the most isolated students. The data are shown. Is there a significant relationship between the variables? Please show work/do by hand
Internet use |
32 |
15 |
23 |
8 |
12 |
Isolation score |
45 |
37 |
22 |
15 |
39 |
Answer: 7.H0: p = 0; H1: ρ ≠ 0; r = 0.510; C.V. = ±0.878; d.f. = 3 do not reject. There is not a significant linear relationship between Internet use and isolation. No regression should be done since r is not significant. P = 0.3808
(a) The scatter plot
d) No regression analysis should be done because r is not significant.
e) The Plot of regression line on the scatter plot is not appropriate because r is not significant.
f) The prediction of y′ for a specific value of x is not appropriate because r is not significant.
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