s we know that square can nkt be negative so sum of square can not negative so a and b are incorrect options and r can be from -1 to 1. So option d is also incorrect. And as we know the equation of person correlation coefficient equation it will negative only if the sum of product wil be negative .
So (c) is correct option.
Pearson's r is computed with the Sum of Products and two Sums of Squares, one for...
please prove lemma and theorems. 8.17 is not needed, thank you 8.15 Lemma. Let p be a prime and let a be a natural number not divisible by p. Then there exist integers x and y such that ax y (mod p) with 0xl.lyl 8.16 Theorem. Let p be a prime such that p (mod 4). Thenp is equal to the sum of two squares of natural numbers. (Hinl: Iry applying the previous lemma to a square root of- mohulo...
1. Which is not true of R², the coefficient of determination ? a It is the square of the coefficient of correlation. b. It is calculated using sums of squares (e.g., SSR, SSE, SST). c. It reports the percent of the variation in Y explained by X. d. It is negative when there is an inverse relationship between X and Y.
8.15 Lemma. Let p be a prime and let a be a natural mumber not divisible by p. Then there exist integers x and y such that ax y (mod p) with 0xl.lylP 8.16 Theorem. Ler p be a prime such that p 1 (mod 4). Then p is equal to the sum of two squares of natural numbers. (int: Iry applying the previous lemma to a square root of- mochdo p.) Knowing which primes can be written as the...
6. [10 pts] The table below gives the values of a function f(x, y) on the square region R-[0,4] x [0,4]. -2-4-3 You have to approximate f(r, y) dA using double Riemann sums. Riemann sum given (a) What is the smallest AA ArAy you can use for a double the table above? (b) Sketch R showing the subdivisions you found in part (a). (e) Give upper and lower estimates of y) dA using double Riemann sums with subdivisions you found...
Nested squares in python programming (f) "Nested squares" with outer side length of 2*N+1 and each inner square spaced as shown. Note that any two s, each from a different square, are separated by at least one blank. That is, each is neither a djacent to the other on the same line nor in the same column: def nested squares (N)-> N-4, 2*N+1-9: three nested squares 立 立ựựự立 立立立立立 立立 立 立立立立立 立 (f) "Nested squares" with outer side length...
Question 28 Error sum of squares (ESS) is computed as o a. È(9-Y,)? ob. Ŝ(v;-P) c. ][9:-x;) od. [9:-Y) O Question 30 The estimated value of Y1 is given by o a. f = B, +BX ob. 9 = bo +byx oc. 9= B. + BAX +8 od. 8,= bo +bX+8 Question 31 The adjusted R2 statistic a. is equal to the value of unadjusted R? o b.adjusts R2 for the degrees of freedom in the multiple regression model o...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...
While conducting a one-way ANOVA comparing 6 treatments with 10 observations per treatment, the computed value for SS(Treatment)= 1, and SS(Error)=24. Calculate the value of F. Round off the answer to 2 decimal digits A study was conducted to determine the association between the maximum distance at which a highway sign can be read ( in feet) and the age of the driver ( in years). Fourty drivers of various ages were studied. The summary statistics for distance and age are...
If the corelation between x and y is r = 0.82, which one of the following statements is true? The y-intercept of the least-square regression line is the point (0, 0.82). Low values of x are associated with high values of y. High values of x are associated with high values of y. The slope of the least-square regression line is m = b1 = 0.82.
ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the...