In: Statistics and Probability
Studies have shown that the frequency with which shoppers browse Internet retailers is related to the frequency with which they actually purchase products and/or services online. The following data show respondents age and answer to the question “How many minutes do you browse online retailers per week?
Age (X) | Time (Y) |
11 | 1851 |
12 | 984 |
12 | 841 |
14 | 1063 |
14 | 883 |
14 | 1044 |
15 | 985 |
18 | 902 |
19 | 1040 |
20 | 918 |
20 | 976 |
22 | 728 |
26 | 859 |
28 | 960 |
28 | 893 |
30 | 709 |
30 | 786 |
42 | 463 |
43 | 560 |
43 | 791 |
45 | 591 |
47 | 440 |
49 | 258 |
49 | 250 |
50 | 480 |
51 | 919 |
52 | 262 |
53 | 184 |
53 | 231 |
54 | 246 |
55 | 205 |
59 | 163 |
64 | 300 |
Use Data > Data Analysis > Correlation to compute the correlation checking the Labels checkbox.. Use the Excel function =CORREL to compute the correlation. If answers for #1 and 2 do not agree, there is an error.
Insert a scatterplot. Display the Equation on chart and R^2 value on the chart.
What is the intercept, slope and R^2?
Using your highlighted cells, what is the equation of the regression line (round to two decimal places)?
Use Excel to predict the number of minutes spent by a 41-year old shopper. Enter = followed by the regression formula. Enter the intercept and slope into the formula by clicking on the cells in the regression output with the results. |
Is it appropriate to use this data to predict the amount of time that a 70-year-old will be on the Internet? If yes, what is the amount of time, if no, why?