The data below represent commute timesâ (in minutes) and scores on aâ well-being survey. Complete partsâ (a) throughâ (d) below. Commute Timeâ (minutes), x â 5 20 25 35 60 72 105
Well-Being Indexâ Score, y 69.1 67.8 67.1 66.6 65.0 65.0 62.3

Required:
Find theâ least-squares regression line treating the commuteâ time, x, as the explanatory variable and the indexâ score, y, as the response variable.

y = - 0.0635x + 69.050 ;

For every unit increase in commute time, well being falls by 0.0635 on average ;

67.1

Step-by-step explanation:

Given :

Commute Time (minutes), x : 5 20 25 35 60 72 105

Well-Being Index Score, y : 69.1 67.8 67.1 66.6 65.0 65.0 62.3

The regression model obtained is :

y = - 0.0635x + 69.050

Where ;

y = Well being Index Score

x = Commute time

Slope = - 0.06352

Intercept = 69.0504

2.)

The slope value, - 0.0635 gives the rate of change in y per unit increase in x.

3.)

Well being Index for a person with commute time of 30 minutes

x = 30

y = - 0.06352(30) + 69.0504

y = 67.1448

y = 67.1 (1 decimal place)

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

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step-by-step explanation:

i hope this : )