diff --git a/Cargo.lock b/Cargo.lock
index ae22518..20fb07b 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -765,6 +765,12 @@ dependencies = [
  "syn",
 ]
 
+[[package]]
+name = "bytemuck"
+version = "1.12.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "2f5715e491b5a1598fc2bef5a606847b5dc1d48ea625bd3c02c00de8285591da"
+
 [[package]]
 name = "byteorder"
 version = "1.3.4"
@@ -4146,12 +4152,11 @@ dependencies = [
 
 [[package]]
 name = "linregress"
-version = "0.4.4"
+version = "0.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "d6c601a85f5ecd1aba625247bca0031585fb1c446461b142878a16f8245ddeb8"
+checksum = "80bcca64d18ee67cc7c6a987a091c3d4eb7a760d486aa22f9e1aabcddeffb10f"
 dependencies = [
  "nalgebra",
- "statrs",
 ]
 
 [[package]]
@@ -4504,9 +4509,9 @@ dependencies = [
 
 [[package]]
 name = "nalgebra"
-version = "0.27.1"
+version = "0.31.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "462fffe4002f4f2e1f6a9dcf12cc1a6fc0e15989014efc02a941d3e0f5dc2120"
+checksum = "e9e0a04ce089f9401aac565c740ed30c46291260f27d4911fdbaa6ca65fa3044"
 dependencies = [
  "approx",
  "matrixmultiply",
@@ -4514,8 +4519,6 @@ dependencies = [
  "num-complex",
  "num-rational 0.4.0",
  "num-traits",
- "rand 0.8.4",
- "rand_distr",
  "simba",
  "typenum",
 ]
@@ -5062,7 +5065,6 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "9a64b1ec5cda2586e284722486d802acf1f7dbdc623e2bfc57e65ca1cd099290"
 dependencies = [
  "autocfg",
- "libm",
 ]
 
 [[package]]
@@ -7249,16 +7251,6 @@ dependencies = [
  "getrandom 0.2.3",
 ]
 
-[[package]]
-name = "rand_distr"
-version = "0.4.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "32cb0b9bc82b0a0876c2dd994a7e7a2683d3e7390ca40e6886785ef0c7e3ee31"
-dependencies = [
- "num-traits",
- "rand 0.8.4",
-]
-
 [[package]]
 name = "rand_hc"
 version = "0.2.0"
@@ -7712,6 +7704,15 @@ dependencies = [
  "rustc_version 0.2.3",
 ]
 
+[[package]]
+name = "safe_arch"
+version = "0.6.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "794821e4ccb0d9f979512f9c1973480123f9bd62a90d74ab0f9426fcf8f4a529"
+dependencies = [
+ "bytemuck",
+]
+
 [[package]]
 name = "salsa20"
 version = "0.9.0"
@@ -9339,14 +9340,15 @@ dependencies = [
 
 [[package]]
 name = "simba"
-version = "0.5.1"
+version = "0.7.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "8e82063457853d00243beda9952e910b82593e4b07ae9f721b9278a99a0d3d5c"
+checksum = "c48e45e5961033db030b56ad67aef22e9c908c493a6e8348c0a0f6b93433cd77"
 dependencies = [
  "approx",
  "num-complex",
  "num-traits",
  "paste 1.0.6",
+ "wide",
 ]
 
 [[package]]
@@ -10287,19 +10289,6 @@ version = "1.1.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
 
-[[package]]
-name = "statrs"
-version = "0.15.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "05bdbb8e4e78216a85785a85d3ec3183144f98d0097b9281802c019bb07a6f05"
-dependencies = [
- "approx",
- "lazy_static",
- "nalgebra",
- "num-traits",
- "rand 0.8.4",
-]
-
 [[package]]
 name = "strsim"
 version = "0.10.0"
@@ -11951,6 +11940,16 @@ dependencies = [
  "thiserror",
 ]
 
+[[package]]
+name = "wide"
+version = "0.7.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b3aba2d1dac31ac7cae82847ac5b8be822aee8f99a4e100f279605016b185c5f"
+dependencies = [
+ "bytemuck",
+ "safe_arch",
+]
+
 [[package]]
 name = "widestring"
 version = "0.5.1"
diff --git a/frame/benchmarking/Cargo.toml b/frame/benchmarking/Cargo.toml
index c098eee..53864a4 100644
--- a/frame/benchmarking/Cargo.toml
+++ b/frame/benchmarking/Cargo.toml
@@ -14,7 +14,7 @@ targets = ["x86_64-unknown-linux-gnu"]
 
 [dependencies]
 codec = { package = "parity-scale-codec", version = "3.0.0", default-features = false }
-linregress = { version = "0.4.4", optional = true }
+linregress = { version = "0.5.0", optional = true }
 log = { version = "0.4.17", default-features = false }
 paste = "1.0"
 scale-info = { version = "2.1.1", default-features = false, features = ["derive"] }