Linear model line of best fit problem

Question

Table:

Family Member Age States Visited

Jane 16 15

Cousin Xia 16 18

Dad 40 27

Grandma 70 42

Brother Ed 10 9

Uncle Ralph 45 19

Jane asked members of her family how many states they had visited. Her data is in the table above. Jane plotted the data and drew a line of best fit though the points for Ed and Grandma. She found its equation to be y = 0.55x + 3.5.

Jane used her equation to predict how many states she will have visited at age 30: Answer

Use Jane's equation to predict the number of states her Dad would visit when he is 40: Answer

The predicted value does not match the number n Jane's table. What is the residual for Dad: Answer

What is the sum of the squared residuals: Answer

Answer 1

Add three new columns to the data. One will be labelled Y and would be the results obtained for each person by plugging their age into the equation. The second added column will be labelled Residuals and would be the results obtained by subtracting the calculated result for each person from the actual number of states visited. The last column could be labelled Squared Residuals and would contain the squares of the numbers in the residuals column. Finally, add the squared residuals to get the Sum of Squares of Residuals.