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1 year ago

Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.

Mathematics

1 answer:

stepladder [879]1 year ago

3 0

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

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2 years ago

On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar

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Answer:

TRUE OPTIONS ARE:

"The temperature increased until 4:00 p.m. "

"The temperature decreased after 6:00 p.m. "

"The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m."

Step-by-step explanation:

graph attached and complete question below:

Which statements are true about the temperatures Luis recorded on the graph? Check all that apply.

The temperature increased until 4:00 p.m.
The temperature was not recorded between 4:00 p.m. and 6:00 p.m.
The temperature decreased after 6:00 p.m.
The temperature increased and then decreased before holding constant.
The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.

Until 1600 hours, the graph increases, so we can say temperature increased until 4.00 pm (FIRST OPTION TRUE).

From 1600 to 1800 hours (4 - 6pm), the temperature stayed same (horizontal line). This doesn't mean the temperature wasn't recorded. (2nd OPTION FALSE).

After 1800 hours (6pm), the line goes downward, so temperature decreased after 6 pm. (3rd OPTION TRUE).

If you look at the temperature graph, we can see temperature increased, then increased more, then constant, then decreased. Thus the 4th option isnt true. (4th OPTION FALSE).

Before 12, the increase isn't as sharp as after 12. After 12 temperature increase has more slope, so this increase is more. (5th OPTION TRUE).

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1 year ago

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Josh has $500 in his savings account. He deposits $25 into his savings account each month. He purchased home theater equipment f

zzz [600]

Answer:

B. 10 months

Step-by-step explanation:

The balance on the loan will be ...

b = 1600 - 80t . . . . . . where t is the number of months of payments

The balance in the savings account will be ...

s = 500 + 25t

The savings account balance will be at least as much as the loan balance when ...

s ≥ b

500 +25t ≥ 1600 -80t . . . substitute the account balance expressions

105t ≥ 1100 . . . . . . . . . . . . add 80t -500

t ≥ 1100/105 ≈ 10.48 ≈ 10

It will take Josh 10 months to have enough savings to pay the loan in full.

_____

Comment on rounding

IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.

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