(b) Suppose house selling prices are changed from dollars to thousands of dollars. Find the new prediction equation. Choose the correct answer below. O A. y= -0.010163 +0.0590x, +0.00672x2 O B. y= - 10.163-0.0590x, -0.00672x2 OC. y= -10.163+0.0590x, +0.00672x2 O D. y3 -10,163+59,000x, +6720x2 (c) In (b), does the multiple correlation change to 0.00079? Justify your answer. O A. The multiple correlation would not change because it is not dependent on units. O B. The multiple correlation would change to 790 rather than to 0.00079, because prices are changed from dollars to thousands of dollars. OC. The multiple correlation would change, but it is not equal to 0.00079, because there is a complicated relationship between slopes and multiple correlation. OD. The multiple correlation would change to 0.00079, because the slopes are changed to thousandths.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![For data on house selling price, y house selling price, x, = house size, x, = lot size, the prediction equation is
y= - 10,163+59.0x, +6.72x,, and R=0.79. Complete parts (a) to (c).
(a) Interpret the value of the multiple correlation. Choose the correct answer below.
O A. The correlation between actual house selling price and house size is 0.89.
O B. The correlation between predicted house selling price and actual house selling price is 0.21
O C. The correlation between predicted house selling price and actual house selling price is 0.79.
O D. The correlation between predicted house selling price and actual house size/lot size is 0.79.
(b) Suppose house selling prices are changed from dollars to thousands of dollars. Find the new prediction equation. Choose the
correct answer below.
O A. y= -0.010163 +0.0590x, +0.00672x2
O B. y= - 10.163 – 0.0590x, - 0.00672x2
O.C. y= - 10.163 +0.0590x, +0.00672x2
O D. y= - 10,163 + 59,000x, + 6720x2
(c) In (b), does the multiple correlation change to 0.00079? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1e6429b-4f63-400c-9aa2-4367eceb33a6%2F7d7da6fe-9098-4fb2-9446-82a95f07daaf%2F3lu1dw7k_processed.jpeg&w=3840&q=75)
![y=
59.0x1
.12X2,
piete par
(b) Suppose house selling prices are changed from dollars to thousands of dollars. Find the new prediction equation. Choose the
correct answer below.
O A. y= -0.010163 +0.0590x, +0.00672x2
O B. y= - 10.163-0.0590x, -0.00672x2
Oc. y-
- 10.163 + 0.0590x, +0.00672x2
O D. y= - 10,163 + 59,000x, +6720x2
(c) In (b), does the multiple correlation change to 0.00079? Justify your answer.
O A. The multiple correlation would not change because it is not dependent on units.
O B. The multiple correlation would change to 790 rather than to 0.00079, because prices are changed from dollars to
thousands of dollars.
O C. The multiple correlation would change, but it is not equal to 0.00079, because there is a complicated relationship between
slopes and multiple correlation.
O D. The multiple correlation would change to 0.00079, because the slopes are changed to thousandths.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1e6429b-4f63-400c-9aa2-4367eceb33a6%2F7d7da6fe-9098-4fb2-9446-82a95f07daaf%2Fkufwdu_processed.jpeg&w=3840&q=75)
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