Answer:
A correlation coefficient of +1 or -1 reflects a perfect linear relationship, but a 0.94 indicates a strong positive correlation between the aspen leaf's length and surface area, though not guaranteeing linearity.
Step-by-step explanation:
The correlation coefficient (r) ranges between +1 and −1, where +1 means perfect positive correlation, −1 means perfect negative correlation, and 0 means no correlation.
The closer r is to ±1, the stronger the correlation. Generally, values between 0.7 and 1, or −0.7 and −1, indicate a significant correlation.
While 0.94 shows a strong direct association between the leaf's length and surface area, it does not definitively prove a linear relationship is the best fit.
Let y represent the gallons of water left in the barrel, and let x represent the minutes that have passed. Water escapes the barrel at a rate of 1 gallon for every 10 minutes. Consequently, the appropriate linear equation for this scenario is shown in the attached graph.
The variations occur due to the distinct rows of pennies
Answer:
75 dollars in coupons.
250 dollars in dividends.
She achieved a profit of 600 - 425 = 175 from her stock investment.
Her complete income sums up to 250 + 75 + 175 = 500.
If all this is taxed at 10%, her tax will be 500 *.1 = 50.