Using correlation what is the relationship between the...

Name: using correlation what is the relationship between the following data compute the correlation between act scores and gpa using the data below what does it tell you about the relationship between the a
Uploaded: 2023-09-07T03:44:43-08:00
Duration: 6 min 49 s
Channel: Supreeta N
Description: using correlation what is the relationship between the following data compute the correlation between act scores and gpa using the data below what does it tell you about the relationship between the a

Using correlation what is the relationship between the following data? Compute the correlation between ACT scores and GPA using the data below. What does it tell you about the relationship between the ACT score and GPA of these 11 students? (Show your work) Problem ACT GPA X2 Y2 XY 17 1.9 289 3.61 32.3 26 3.4 676 11.56 88.4 22 3.7 484 13.69 81.4 n=11 24 2.7 576 7.29 64.8 21 2.3 441 5.29 48.3 16 1.6 256 2.56 25.6 18 2.9 324 8.41 52.2 19 2 361 4 38 28 3.9 784 15.21 109.2 26 3.1 676 9.61 80.6 22 2.4 484 5.76 52.8 239 29.9 5351 86.99 673.6

Transcript

00:01 Hello students, in this question we have given the data set with the information on act scores and the college gpa for 5 students.

00:08 That is we have the sample size n is equal to 5 and by using this data we have to compute the following summary statistics.

00:18 So here x is the act scores and y is the gpa.

00:23 Now first we have to compute the sample mean act score that is the value of x bar.

00:29 So formula for x bar is summation of xi divided by n.

00:36 Now summation of xi that is sum of all the observations of the column of x divided by total number of observations.

00:44 So this is equal to this is the sum.

00:49 So summation of xi is 131 divided by total number of observations are 5.

00:54 So we will get the value of x bar is equal to 26 .2.

00:59 Then next we have to compute sample mean gpa that is y bar.

01:05 So the formula for y bar is y bar is equal to summation of yi divided by n.

01:12 So now this is equal to summation of yi is 16 .5 divided by total number of observations are 5.

01:19 So we will get the mean for gpa that is the value of y bar is equal to 3 .3.

01:26 Then in the next question we have to compute the sample variance of act scores that is sx square.

01:34 So the sample variance the sample variance is given by the formula.

01:46 So the formula for sx square is equal to summation of xi minus x bar bracket square divided by n minus 1.

01:56 So now we have already calculated the mean that is x bar.

02:01 So we can compute the column for x minus x bar.

02:04 So here i have calculated the column for x minus x bar bracket square that is the value of x is 23 minus x bar is 26 .2 bracket square and we will get 10 .24.

02:18 So in this way we will get this column for x minus x bar bracket square and this is their total.

02:24 So we will get sx square is equal to 26 .8 divided by n minus 1 that is 5 minus 1 and this is equal to 6 .7.

02:38 Therefore the sample variance that is the value of sx square is equal to 6 .7.

02:45 Then in the next question we have to calculate the sample variance of gpa that is the value of sy square...

Question

Please give Ace some feedback