Question

The population consisting of all married couples is collected. The data showing the age of 12 married couples is as follows:

Husband’s age
(years)		 Wife’s age
(years)		 Husband’s age
(years)		 Wife’s age
(years)
30 27 51 50
29 20 48 46
36 34 37 36
72 67 50 42
37 35 51 46
36 37 36 35

i) Draw a scatter plot of the data

 ii) Write two important characteristics of the data that emerge from the scatter plot.

 iii) Fit a linear regression model to the data and interpret the result in terms of the comparative change in the age of husband and wife.

 iv) Calculate the standard error of regression and the coefficient of determination for the data. 

08 Mar 2024
Answer :
Word Count : 869
Let's break down your question into parts and solve it step by step. ### i) Scatter Plot of the Data To draw a scatter plot, we need to plot the husband's age against the wife's age for each couple. Here is a summary of the data: | Husband’s Age (x) | Wife’s Age (y) | |-------------------|----------------| | 30 | 27 | | 29 | 20 | | 36 | 34 | | 72 | 67 | | 37 | 35 | | 36 | 37 | | 51 | 50 | | 48 | 46 | | 50 | 42 | | 51 | 46 | | 37 | 35 | | 36 | 36 | To create the scatter plot, you would typically use graphing software or tools like Excel, Google Sheets, or Python's Matplotlib library to plot the points. The x-axis will represent the husband’s age, and the y-axis will represent the wife’s age. If you were plotting, the points would look like this: - (30, 27) - (29, 20) - (36, 34) - (72, 67) - (37, 35) - (36, 37) - (51, 50) - (48, 46) - (50, 42) - (51, 46) - (37, 35) - (36, 36) The scatter plot will give you a visual representation of the relationship between the ages _______ _______ ___ _________ ___ _________ __________.
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