Question

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TO QUESTION
The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table below.

DROP DOWN MENU #1:
1. A GOOD FIT
2. NOT A GOOD FIT

DROP DOWN MENU #2:
1. NON-RANDOM
2. RANDOM

Answer 1

2. NOT A GOOD FIT

2. RANDOM

Answer 2

The model is a good fit for the data in the table because the residual plot has a Random pattern of data points about the horizontal axis.

Explanation:

Residual is the distinction between the dependent variable's observed value and the predicted value.

A linear regression model is good If the points of residual plot are spread randomly around the horizontal axis.

Consider the provided data,

Plot the x and y to make a residual plot and then draw the graph of the model:

`y=0.058x+4.138`

The required graph is shown in figure 1:

Using the above definition we can say that:

The model is a good fit for the data in the table because the residual plot has a Random pattern of data points about the horizontal axis.