اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
In a scatter plot, if the points tend to go up from left to right, what type of association does this indicate?
Explanation
A positive association is indicated when both variables increase together, causing the points to trend upwards from left to right.
Question 2
Points: 1
The scatter plot shows the relationship between the birth month of every student in Mari’s class and their height. Which is the best interpretation of the data?
Explanation
The points in the scatter plot are spread out with no discernible trend or pattern, indicating that there is no relationship (no association) between birth month and height.
Question 3
Points: 1
What does a 'Negative Association' mean in the context of two variables, x and y?
Explanation
A negative association occurs when the variables move in opposite directions; as one increases, the other tends to decrease.
Question 4
Points: 1
Based on the scatter plot shown, use the line of fit to predict the number of cups of hot chocolate sold when the average temperature is 50 Degrees F.
Explanation
By locating 50 on the temperature axis and following it up to the line of fit, the corresponding value on the y-axis (Cups Sold) is 25.
Question 5
Points: 1
The scatter plot shows the relationship between height and shoe size for a basketball team. Using the line of fit, what is the best prediction for the shoe size of a player who is 59 inches tall?
Explanation
On the x-axis (Height), the value 59 corresponds to the value 8 on the y-axis (Shoe Size) according to the line of fit.
Question 6
Points: 1
If the data points are very close to the line of fit, we can conclude that:
Explanation
When data points cluster tightly around a line of fit, it indicates a strong relationship or association between the variables.
Question 7
Points: 1
If you have a line of fit with a slope of 3 and it passes through the point (0,4), what is the correct equation in slope-intercept form?
Explanation
The slope-intercept form is y = mx + b. Given m = 3 and the y-intercept b = 4 (from the point (0,4)), the equation is y = 3x + 4.
Question 8
Points: 1
In a real-world model y = -5x + 200, what does the negative slope (-5) tell you about the relationship?
Explanation
A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.
Question 9
Points: 1
If a line of fit equation is y = 1.5x + 10, what is the predicted value of y when x=4?
Explanation
Substitute x = 4 into the equation: y = 1.5(4) + 10 = 6 + 10 = 16.
Question 10
Points: 1
The scatter plot shows the participation of girls in high school sports since the year 2000. Based on the line of fit drawn in the graph, which equation and interpretation are correct?
Explanation
The y-intercept (starting value in 2000) is 2.8. Over 10 years, the value rises from 2.8 to 3.2, which is an increase of 0.4. The slope is 0.4 / 10 = 0.04, leading to the equation y = 0.04x + 2.8.
Question 11
Points: 1
Based on the table provided, which group is more likely to buy their lunch, and what is the correct relative frequency to support this conclusion? (Round to the nearest hundredth).
Explanation
For 8th graders, the conditional relative frequency of buying lunch is $51 / 76 \approx 0.67$. For 7th graders, it is 30 / 75 = 0.40. Since 0.67 > 0.40, 8th graders are more likely.
Question 12
Points: 1
If a two-way table shows that 40 out of 100 students play sports, what is the relative frequency of students who play sports?
Explanation
The relative frequency is the ratio of the frequency of a category to the total number of observations: 40 / 100 = 0.40.
Question 13
Points: 1
According to the survey results from McGuffey Junior High in the file, which group of students is more likely to not ride the bus, and what is the relative frequency that supports this? (Round to the nearest hundredth).
Explanation
Relative frequency for males not riding the bus is $85 / 195 \approx 0.44$. For females, it is $42 / 126 \approx 0.33$. Males have a higher frequency of not riding.
Question 14
Points: 1
Relative frequencies are usually expressed as:
Explanation
Because relative frequencies represent a proportion or part of a whole, they are expressed as decimal values between 0 and 1 or as percentages.
Question 15
Points: 1
The two-way table shows the number of middle school and high school students that use social media. Based on the relative frequencies, which one of the following is not true?
Explanation
Looking at the data, high school students use social media at a much higher count (1310) than middle school students (410). Therefore, a social media user is far more likely to be a high school student, making option A false.
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