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?