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The graph above is a scatterplot with 30 points, each representing the Updated on: 10 Nov 2023, 10:11
Originally posted by Sajjad1994 on 27 Jan 2020, 10:02.
Last edited by BottomJee on 10 Nov 2023, 10:11, edited 3 times in total.
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Dropdown 1: 6 to 5 Dropdown 2: less than
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65% (hard)

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65% (02:59) correct 35% (03:07) wrong based on 1436 sessions

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The graph above is a scatterplot with 30 points, each representing the per capita consumption, in pounds, of ice cream and cheese for the years 1989 through 2003 in the United States. The solid line is a regression line for the points representing the per capita consumption of ice cream. The dashed line is a regression line for the points representing the per capita consumption of cheese.

Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.

1. For the year with the lowest total per capita consumption of both ice cream and cheese combined, the ratio of per capita ice cream consumption to per capita cheese consumption is approximately .

2. The slope of the regression line for ice cream is the slope of the regression line for cheese.



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Dropdown 1: 6 to 5 Dropdown 2: less than
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The graph above is a scatterplot with 30 points, each representing the 27 Jan 2020, 10:07
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1) The per capita ratio,when the sum is lowest for both ice cream and cheese, is 29/24~ 6/5
2)Per the graph,slope of regression line for ice cream is less than slope of regression line for cheese

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The graph above is a scatterplot with 30 points, each representing the 13 Nov 2023, 00:26
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Apt0810
1) The per capita ratio,when the sum is lowest for both ice cream and cheese, is 29/24~ 6/5
2)Per the graph,slope of regression line for ice cream is less than slope of regression line for cheese

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Hi Apt0810
how did you calculate the slope?
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The graph above is a scatterplot with 30 points, each representing the 04 Jun 2024, 01:54
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Runjhun26

Apt0810
1) The per capita ratio,when the sum is lowest for both ice cream and cheese, is 29/24~ 6/5
2)Per the graph,slope of regression line for ice cream is less than slope of regression line for cheese

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Hi Apt0810
how did you calculate the slope?



In this particular question, you do not need to calculate the slope to answer the question, partly because you do not have data to calculate it, but just check with your eyes.

 
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ayooohelp
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I feel like one of my biggest barriers on certain GMAT questions is understanding what the test has in mind when it says something. For instance, how am i supposed to know its a "less than" slope of regression and not a greater than. If I am to believe a slope of regression is how much something is shrinking, its very feasible to a shrinking slope as a positive regression, making the answer greater than, since regression has a negative built into it. I selected greater than for that exact reason. A greater slope of regression would mean its more negative (at least its feasible to paint it like that). Any tips and tricks to interoperate lines like this which can truly go either way?
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The graph above is a scatterplot with 30 points, each representing the 09 Jun 2024, 19:58
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Can someone explain how to find the answer for the first question
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The graph above is a scatterplot with 30 points, each representing the 11 Jun 2024, 11:07
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Nihal_Abdurahiman
Can someone explain how to find the answer for the first question
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­Hi! The way I calculated is by checking visually the year with the lowest per capita consumption of both cheese and ice cream by adding the numbers mentally. After that, I rounded by the values to the nearest common divisible number (since the question asks for approximate), 23.9 for cheese can be rounded up to 25 and 28.8 for Ice Cream can be rounded up to 30. Take the ratio of 30:25, you get 6:5.

I'm sure there are better methods than this, but this is just what I used!
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The graph above is a scatterplot with 30 points, each representing the 07 Feb 2025, 04:52
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experts pls explain q2 how to solve this should we calculate the slope or is there any other method?
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The graph above is a scatterplot with 30 points, each representing the 08 Feb 2025, 09:51
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From the graph, it is clear that the slope of the regression line for ice cream is negative, as the per capita consumption decreases over time. On the other hand, the slope of the regression line for cheese is positive, as the per capita consumption increases over time. Thus, the slope of the regression line for ice cream is less than the slope of the regression line for cheese.
HarshZsssh
experts pls explain q2 how to solve this should we calculate the slope or is there any other method?
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The graph above is a scatterplot with 30 points, each representing the 09 Feb 2025, 06:55
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How do you know which year has low per capita Ratio ?
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The graph above is a scatterplot with 30 points, each representing the 30 May 2025, 06:25
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I think you are confused between the english meaning of the word "regression" and the mathematical meaning of the word "regression", and if you are not. I am still going to state it who is having a bad time understanding it.

"Regression line", is nothing but a line plotting the points on the graph based on the relationship, it is not certain that each point will pass through that line but it was "expected" to pass that line based on all the data points given.

Now, even if the slope of the ice cream line in absolute terms was more than the cheese line, then that might have created a confusion for a non-mathematical person as to whether that slope is negative or positive and that a negative number is always less than a positive number.

But in absolue terms if we are not even consider that one has a negative trend and the other has a positive trend. It is pretty clear that the cheese line is moving upwards at a faster rate, hence it has more slope than the ice cream line which is decline at a slower rate.

Hence, the ice cream line has less slope in both the cases regardless of whether you consider sign or not.

That's why i feel you were confused between what regression actually meant, it is not asking which of the slope is declining. It is asking that which line is more rapidly changing it's value and it could be in either direction.

ayooohelp
I feel like one of my biggest barriers on certain GMAT questions is understanding what the test has in mind when it says something. For instance, how am i supposed to know its a "less than" slope of regression and not a greater than. If I am to believe a slope of regression is how much something is shrinking, its very feasible to a shrinking slope as a positive regression, making the answer greater than, since regression has a negative built into it. I selected greater than for that exact reason. A greater slope of regression would mean its more negative (at least its feasible to paint it like that). Any tips and tricks to interoperate lines like this which can truly go either way?
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The graph above is a scatterplot with 30 points, each representing the 20 Jun 2025, 02:33
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what do we do when slope of 1 line is, say -5, whereas other line has slope +3. Do we consider sign or just the absolute value? How to know which is used when?
Pr4n
I think you are confused between the english meaning of the word "regression" and the mathematical meaning of the word "regression", and if you are not. I am still going to state it who is having a bad time understanding it.

"Regression line", is nothing but a line plotting the points on the graph based on the relationship, it is not certain that each point will pass through that line but it was "expected" to pass that line based on all the data points given.

Now, even if the slope of the ice cream line in absolute terms was more than the cheese line, then that might have created a confusion for a non-mathematical person as to whether that slope is negative or positive and that a negative number is always less than a positive number.

But in absolue terms if we are not even consider that one has a negative trend and the other has a positive trend. It is pretty clear that the cheese line is moving upwards at a faster rate, hence it has more slope than the ice cream line which is decline at a slower rate.

Hence, the ice cream line has less slope in both the cases regardless of whether you consider sign or not.

That's why i feel you were confused between what regression actually meant, it is not asking which of the slope is declining. It is asking that which line is more rapidly changing it's value and it could be in either direction.

ayooohelp
I feel like one of my biggest barriers on certain GMAT questions is understanding what the test has in mind when it says something. For instance, how am i supposed to know its a "less than" slope of regression and not a greater than. If I am to believe a slope of regression is how much something is shrinking, its very feasible to a shrinking slope as a positive regression, making the answer greater than, since regression has a negative built into it. I selected greater than for that exact reason. A greater slope of regression would mean its more negative (at least its feasible to paint it like that). Any tips and tricks to interoperate lines like this which can truly go either way?
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Great question, as I also mentioned the same thing that in that particular scenario it can create confusion as a change of -5 is definitely greater than a change of 3 in absolute terms. But in my experience of all the questions I have practiced, official questions will be certain and will not create such confusion.

But in mathematical terms, -5 will have greater slope than 3 as slope is nothing but rate of change and - and + are just to identify direction of the slope. But the rate of change is 5 or 3 in the example you created hypothetically, - and + are just signs indicating increase or decrease
dejavu3363
what do we do when slope of 1 line is, say -5, whereas other line has slope +3. Do we consider sign or just the absolute value? How to know which is used when?
Pr4n
I think you are confused between the english meaning of the word "regression" and the mathematical meaning of the word "regression", and if you are not. I am still going to state it who is having a bad time understanding it.

"Regression line", is nothing but a line plotting the points on the graph based on the relationship, it is not certain that each point will pass through that line but it was "expected" to pass that line based on all the data points given.

Now, even if the slope of the ice cream line in absolute terms was more than the cheese line, then that might have created a confusion for a non-mathematical person as to whether that slope is negative or positive and that a negative number is always less than a positive number.

But in absolue terms if we are not even consider that one has a negative trend and the other has a positive trend. It is pretty clear that the cheese line is moving upwards at a faster rate, hence it has more slope than the ice cream line which is decline at a slower rate.

Hence, the ice cream line has less slope in both the cases regardless of whether you consider sign or not.

That's why i feel you were confused between what regression actually meant, it is not asking which of the slope is declining. It is asking that which line is more rapidly changing it's value and it could be in either direction.

ayooohelp
I feel like one of my biggest barriers on certain GMAT questions is understanding what the test has in mind when it says something. For instance, how am i supposed to know its a "less than" slope of regression and not a greater than. If I am to believe a slope of regression is how much something is shrinking, its very feasible to a shrinking slope as a positive regression, making the answer greater than, since regression has a negative built into it. I selected greater than for that exact reason. A greater slope of regression would mean its more negative (at least its feasible to paint it like that). Any tips and tricks to interoperate lines like this which can truly go either way?
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The graph above is a scatterplot with 30 points, each representing the 06 Nov 2025, 05:12
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I too have this doubt, i considered the angle from +x-axis to each of the slope line and angle would be greater for ice-cream than cheese
dejavu3363
what do we do when slope of 1 line is, say -5, whereas other line has slope +3. Do we consider sign or just the absolute value? How to know which is used when?

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